H. Bethe, Zur Theorie der Metalle, Z. Physik, vol.71, p.205, 1931.

L. Onsager, Crystal statistics. I. A two-dimensional model with an order-disorder transition, Phys. Rev, vol.65, p.117, 1944.

R. J. Baxter, Exactly solved models in statistical mechanics, 1982.

L. D. Faddeev, E. K. Sklyanin, and L. A. Takhtajan, Quantum inverse problem. I, Theor. Math. Phys, vol.40, p.688, 1979.

L. D. Faddeev and L. A. Takhtajan, The quantum method of the inverse problem and the Heisenberg XYZ model, Russian Math. Surveys, vol.34, issue.5, p.11, 1979.

E. K. Sklyanin, Quantum version of the method of inverse scattering problem, J. Sov. Math, vol.19, issue.5, p.1546, 1982.

M. Jimbo, Yang-Baxter equation in integrable systems, Advanced series in mathematical physics, vol.10, 1990.

L. D. Fadeev and G. P. Korchemsky, High energy QCD as a completely integrable model, Phys. Lett. B, vol.342, p.311, 1995.

E. K. Sklyanin, Quantum inverse scattering method, p.63, 1992.

J. M. Maillet and G. Niccoli, On quantum separation of variables, Journal of Mathematical Physics, vol.59, p.91417, 2018.
URL : https://hal.archives-ouvertes.fr/hal-01861973

N. A. Slavnov, Calculation of scalar products of wave functions and form factors in the framework of the algebraic Bethe ansatz, Theor. Math. Phys, vol.79, 1989.

N. Kitanine, J. Maillet, N. Slavnov, and V. Terras, Spin-spin correlation functions of the XXZ-1/2 Heisenberg chain in a magnetic field, Nucl. Phys. B, vol.641, 2002.

N. Kitanine, K. K. Kozlowski, J. M. Maillet, N. A. Slavnov, and V. Terras, Algebraic Bethe ansatz approach to the asymptotic behavior of correlation functions, J. Stat. Mech, vol.4, 2009.
URL : https://hal.archives-ouvertes.fr/ensl-00308844

J. Caux, Correlation functions of integrable models: a description of the ABACUS algorithm, J. Math. Phys, vol.50, 2009.

D. A. Tennant, R. A. Cowley, S. E. Nagler, and A. M. Tsvelik, Measurement of the spin-excitation continuum in one-dimensional KCuF3 using neutron scattering, Phys. Rev. B, vol.52, p.13368, 1995.

J. Caux, R. Hagemans, and J. Maillet, Computation of dynamical correlation functions of Heisenberg chains: the gapless anisotropic regime, J. Stat. Mech, p.9003, 2005.
URL : https://hal.archives-ouvertes.fr/ensl-00266543

V. G. Drinfeld, Hopf algebras and the quantum Yang-Baxter equation, Dokl. Acad. Nauk SSSR, vol.283, p.1060, 1985.

I. Affleck, Critical behavior of two-dimensional systems with continuous symmetries, Phys. Rev. Lett, vol.55, p.1355, 1985.

A. A. Belavin, A. M. Polyakov, and A. B. Zamolodchikov, Infinite conformal symmetry in two-dimensional quantum field theory, Nucl. Phys. B, vol.241, p.333, 1984.

H. W. Blöte, J. L. Cardy, and M. P. Nightingale, Conformal invariance, the central charge, and universal finite-size amplitudes at criticality, Phys. Rev. Lett, vol.56, 1986.

I. Affleck, Universal term in the free energy at a critical point and the conformal anomaly, Phys. Rev. Lett, vol.56, 1986.

J. L. Cardy, Operator content of two-dimensional conformally invariant theories, Nucl. Phys. B, vol.270, 1986.

F. Woynarovich and H. Eckle, Finite-size corrections and numerical calculations for long spin 1/2 Heisenberg chains in the critical region, J. Phys. A: Math. Gen, vol.20, p.97, 1987.

M. Karowski, Finite-size corrections for integrable systems and conformal properties of six-vertex models, Nucl. Phys. B, vol.200, p.473, 1988.

A. Klümper and M. T. Batchelor, Finite-size corrections and scaling dimensions of solvable lattice models: An analytic method, J. Phys. A, vol.23, p.189, 1990.

A. Klümper, T. Wehner, and J. Zittartz, Conformal spectrum of the six-vertex model, J. Phys. A: Math. Gen, vol.26, p.2815, 1993.

H. Saleur, The continuum limit of sl(N |K) integrable super spin chains, Nucl. Phys. B, vol.578, p.552, 2000.

F. H. Essler, H. Frahm, F. Göhmann, A. Klümper, and V. E. Korepin, The onedimensional Hubbard model, 2003.

F. H. Essler, V. E. Korepin, and K. Schoutens, Complete solution of the onedimensional Hubbard model, Phys. Rev. Lett, vol.67, p.3848, 1991.

F. H. Essler and V. E. Korepin, Higher conservation laws and algebraic Bethe ansatz for the supersymmetric t ? j model, Phys. Rev. B, vol.46, p.9147, 1992.

K. B. Efetov, Supersymmetry and theory of disordered metals, Adv. Phys, vol.32, p.53, 1983.

D. Bernard, (perturbed) conformal field theory applied to 2D disordered systems: an introduction, 1995.

F. Wegner, Supermathematics and its applications in statistical physics, 2016.

H. Saleur, Polymers and percolation in two dimensions and twisted N = 2 supersymmetry, Nucl. Phys. B, vol.382, p.486, 1992.

V. B. Priezzhev, The dimer problem and the Kirchhoff theorem, Sov. Phys. Usp, vol.28, p.1125, 1985.

S. Caracciolo, J. L. Jacobsen, H. Saleur, A. D. Sokal, and A. Sportiello, Fermionic field theory for trees and forests, Phys. Rev. Lett, vol.93, p.80601, 2004.
URL : https://hal.archives-ouvertes.fr/hal-00002931

J. L. Jacobsen and H. Saleur, The arboreal gas and the supersphere sigma model, Nucl. Phys. B, vol.716, p.439, 2005.
URL : https://hal.archives-ouvertes.fr/hal-00004124

V. Gurarie, Logarithmic operators in conformal field theory, Nucl. Phys. B, vol.410, p.535, 1993.

K. V. Klitzing, G. Dorda, and M. Pepper, New method for high-accuracy determination of the fine-structure constant based on quantized Hall resistance, Phys. Rev. Lett, vol.45, p.494, 1980.

J. T. Chalker and P. D. Coddington, Percolation, quantum tunnelling and the integer Hall effect, J. Phys. C, vol.21, p.2665, 1988.

B. Huckestein, Scaling theory of the integer quantum Hall effect, Rev. Mod. Phys, vol.67, p.357, 1995.

A. M. Pruisken, On localization in the theory of the quantized Hall effect: a two-dimensional realization of the ?-vacuum, Nucl. Phys. B, vol.235, p.277, 1984.

H. A. Weidenmüller, Single electron in a random potential and a strong magnetic field, Nucl. Phys. B, vol.290, p.87, 1987.

Y. Ikhlef, J. L. Jacobsen, and H. Saleur, A staggered six-vertex model with noncompact continuum limit, Nucl. Phys. B, vol.789, p.483, 2008.
URL : https://hal.archives-ouvertes.fr/hal-00117461

S. E. Derkachov, G. P. Korchemsky, J. Kotanski, and A. N. Manashov, Noncompact Heisenberg spin magnets from high-energy QCD: II. Quantization conditions and energy spectrum, Nucl. Phys. B, vol.645, p.237, 2002.
URL : https://hal.archives-ouvertes.fr/hal-00110719

E. Granet, J. L. Jacobsen, and H. Saleur, Spontaneous symmetry breaking in 2D supersphere sigma models and applications to intersecting loop soups, J. Phys. A, vol.52, p.345001, 2019.
URL : https://hal.archives-ouvertes.fr/hal-01909243

E. Granet, J. L. Jacobsen, and H. Saleur, A distribution approach to finite-size corrections in Bethe ansatz solvable models, Nucl. Phys. B, vol.934, p.96, 2018.
URL : https://hal.archives-ouvertes.fr/cea-01739728

E. Granet, J. L. Jacobsen, and H. Saleur, Analytical results on the Heisenberg spin chain in a magnetic field, J. Phys. A, vol.52, p.255302, 2019.
URL : https://hal.archives-ouvertes.fr/hal-02166546

E. Granet, L. Budzynski, J. Dubail, and J. L. Jacobsen, Inhomogeneous Gaussian Free Field inside the interacting arctic curve, J. Stat. Mech, 2019.
URL : https://hal.archives-ouvertes.fr/hal-02184291

R. Orbach, Linear antiferromagnetic chain with anisotropic coupling, Phys. Rev, vol.112, p.309, 1958.

J. Caux and J. Mossel, Remarks on the notion of quantum integrability, J. Stat. Mech, p.2023, 2011.

F. H. Essler, V. E. Korepin, and K. Schoutens, Fine structure of the Bethe ansatz for the spin-1/2 Heisenberg XXX model, J. Phys. A: Math. Gen, vol.23, p.4115, 1992.

K. Fabricius and B. M. Maccoy, Bethe's equation is incomplete for the XXZ model at roots of unity, J. Stat. Phys, vol.103, p.516, 2001.

R. I. Nepomechie and C. Wang, Algebraic Bethe ansatz for singular solutions, J. Phys. A, vol.46, p.325002, 2013.

L. Avdveev and A. Vladimirov, Exceptional solutions of the Bethe ansatz equations, Theor. Math. Phys, vol.69, p.1071, 1987.

R. I. Nepomechie and C. Wang, Twisting singular solutions of Bethe's equations, J. Phys. A, vol.47, p.505004, 2014.

C. Marboe and D. Volin, Fast analytic solver of rational Bethe equations, J. Phys. A: Math. Theor, vol.50, p.204002, 2017.

G. P. Pronko and Y. G. Stroganov, Bethe equations 'on the wrong side of the equator', J. Phys. A: Math. Gen, vol.32, p.2333, 1999.

R. Kenyon, Dominos and the Gaussian Free Field, The Annals of Probability, vol.29, 2001.

S. Smirnov, Critical percolation in the plane: conformal invariance, Cardy's formula, scaling limit, Comptes Rendus de l'Académie des Sciences, vol.333, p.239, 2001.

M. Henkel, , 2013.

I. Affleck, D. Gepner, H. J. Schulz, and T. Ziman, Critical behaviour of spin-s Heisenberg antiferromagnetic chains: analytic and numerical results, J. Phys. A: Math. Gen, vol.22, 1989.

S. Eggert, Numerical evidence for multiplicative logarithmic corrections from marginal operators, Phys. Rev. B, vol.54, p.9612, 1996.

B. Nienhuis, Coulomb gas formulations of two-dimensional phase transitions, Phase transitions and critical phenomena, vol.11, 1987.

B. Duplantier and H. Saleur, Exact critical properties of two-dimensional dense selfavoiding walks, Nucl. Phys. B, vol.290, p.291, 1987.

T. T. Wu, Theory of Toeplitz determinants and the spin correlations of the twodimensional Ising model. I, Phys. Rev, vol.149, 1966.

H. Cheng and T. T. Wu, Theory of Toeplitz determinants and the spin correlations of the two-dimensional Ising model. III, Phys. Rev, vol.164, 1967.

A. Ludwig, Infinite hierarchies of exponents in a diluted ferromagnet and their interpretation, Nucl. Phys. B, vol.330, 1990.

R. Shankar, Exact critical behavior of a random-bond two-dimensional Ising model, Phys. Rev. Lett, vol.58, 1987.

B. Berche and L. N. Shchur, Numerical investigation of logarithmic corrections in two-dimensional spin models, JETP Letters, vol.5, 2004.
URL : https://hal.archives-ouvertes.fr/hal-00001118

J. C. Lessa and S. L. De-queiroz, Logarithmic corrections to correlation decay in two-dimensional random-bond Ising systems, Phys. Rev. E, vol.74, 2006.

M. R. Gaberdiel and H. G. Kausch, A local logarithmic conformal field theory, Nucl. Phys. B, vol.538, p.631, 1999.

H. G. Kausch, Symplectic fermions, Nucl. Phys. B, vol.583, p.513, 2000.

R. Vasseur, J. L. Jacobsen, and H. Saleur, Logarithmic observables in critical percolation, J. Stat. Mech, 2012.

S. M. Flores, J. J. Simmons, and P. Kleban, Multiple-SLE connectivity weights for rectangles, hexagons, and octagons, 2015.

G. Gori and J. Viti, Exact logarithmic four-point functions in the critical twodimensional Ising model, Phys. Rev. Lett, vol.119, 0200.

R. Vasseur and J. L. Jacobsen, Operator content of the critical Potts model in d dimensions and logarithmic correlations, Nucl. Phys. B, vol.880, 2014.
URL : https://hal.archives-ouvertes.fr/hal-01332504

J. Cardy, Logarithmic conformal field theories as limits of ordinary CFTs and some physical applications, J. Phys. A: Math. Theor, vol.46, 2013.

Z. Maassarani and D. Serban, Non-unitary Conformal Field Theory and logarithmic operators for disordered systems, Nucl. Phys. B, vol.603, p.489, 1997.

A. Klümper, The spin-1/2 Heisenberg chain: thermodynamics, quantum criticality and spin-Peierls exponents, Eur. Phys. J. B, vol.5, 1998.

J. M. Kosterlitz and D. J. Thouless, Ordering, metastability and phase transitions in two-dimensional systems, J. Phys. C: Solid State Phys, vol.6, p.1181, 1973.

L. Rozansky and H. Saleur, Quantum field theory for the multi-variable AlexanderConway polynomial, Nucl. Phys. B, vol.376, p.461, 1992.

J. Caux, I. I. Kogan, and A. M. Tsvelik, Logarithmic operators and hidden continuous symmetry in critical disordered systems, Nucl. Phys. B, vol.466, p.444, 1996.

H. G. Kausch, Curiosities at c = ?2, 1995.

M. J. Martins, B. Nienhuis, and R. Rietman, An intersecting loop model as a solvable super spin chain, Phys. Rev. Lett, vol.81, p.504, 1998.

J. L. Jacobsen, N. Read, and H. Saleur, Dense loops, supersymmetry, and Goldstone phases in two dimensions, Phys. Rev. Lett, vol.90, p.90601, 2003.
URL : https://hal.archives-ouvertes.fr/hal-00002307

A. L. Owczarek and T. Prellberg, The collapse point of interacting trails in two dimensions from kinetic growth simulations, J. Stat. Phys, vol.79, p.951, 1995.

R. M. Ziff, Lorentz lattice-gas and kinetic-walk model, Phys. Rev. A, vol.44, p.2410, 1991.

D. P. Foster, Universality of collapsing two-dimensional self-avoiding trails, J. Phys. A: Math. Theor, vol.42, p.372002, 2009.
URL : https://hal.archives-ouvertes.fr/hal-00404443

H. Frahm and M. J. Martins, The fine structure of the finite-size effects for the spectrum of the Osp(n|2m) spin chain, Nucl. Phys. B, vol.930, p.545, 2018.

H. Frahm and M. J. Martins, Finite-size effects in the spectrum of the Osp(3|2) superspin chain, Nucl. Phys. B, vol.894, p.665, 2015.

J. L. Cardy, Logarithmic corrections to finite-size scaling in strips, J. Phys. A: Math. Gen, vol.19, p.1093, 1986.

A. Nahum, P. Serna, A. M. Somoza, and M. Ortuño, Loop models with crossings, Phys. Rev. B, vol.87, p.184204, 2013.

M. Scheunert, The theory of Lie superalgebras, 1979.

F. Wegner, Four-loop order ?-function of nonlinear ?-models in symmetric spaces, Nucl. Phys. B, vol.316, p.663, 1988.

E. G. Floratos and D. Petcher, A two-loop calculation of the mass gap for the O(N ) model in finite volume, Nucl. Phys. B, vol.252, p.689, 1985.

F. H. Essler, V. E. Korepin, and K. Schoutens, Exact solution of an electronic model of superconductivity in 1 + 1 dimensions, Int. J. Mod. Phys. B, vol.8, p.3205, 0201.

D. Arnaudon, J. Avan, N. Crampé, A. Doiku, L. Frappat et al., R-matrix presentation for (super)-Yangians Y (g), J. Math. Phys, vol.44, p.302, 2003.
URL : https://hal.archives-ouvertes.fr/hal-00003184

W. Galleas and M. J. Martins, R-matrices and spectrum of vertex models based on superalgebras, Nucl. Phys. B, vol.699, p.455, 2004.

D. Arnaudon, J. Avan, N. Crampé, A. Doiku, L. Frappat et al., Bethe ansatz equations and exact S matrices for the osp(m|2n) open super spin chain, Nucl. Phys. B, vol.687, p.257, 2004.
URL : https://hal.archives-ouvertes.fr/hal-00000773

F. A. Berezin and V. N. Tolstoy, The group with Grassmann structure U OSp(1|2), vol.78, 1981.

M. J. Martins, The exact solution and the finite-size behaviour of the Osp(1|2)-invariant spin chain, Nucl. Phys. B, vol.450, p.768, 1995.

S. Lukyanov, Low energy effective Hamiltonian for the XXZ spin chain, Nucl. Phys. B, vol.552, p.533, 1998.

Y. Ikhlef, J. L. Jacobsen, and H. Saleur, An integrable spin chain for the SL(2, R)/U (1) black hole sigma model, Phys. Rev. Lett, vol.108, p.81601, 2012.

D. Lu, On the classification of irreducible osp(2|2) representations, Kyushu J. Math, vol.66, 2012.

W. Galleas and M. J. Martins, Exact solution and finite size properties of the U q (osp(2|2m)) vertex model, Nucl. Phys. B, vol.768, p.219, 2007.

J. V. Der-jeugt, Finite and infinite dimensional representations of the orthosymplectic superalgebra osp(3|2), J. Math. Phys, vol.25, p.3334, 1984.

A. V. Razumov and Y. G. Stroganov, Combinatorial nature of ground state vector of O(1) loop model, Theor. Math. Phys, vol.138, 2004.

A. Knutson and P. Zinn-justin, A scheme related to the Brauer loop model, Advances in Mathematics, vol.214, 2007.

B. Nienhuis and R. Rietman, A solvable model for intersecting loops, pp.92-127, 1993.

C. Candu, Continuum limit of gl(M |N ), vol.1107, 2011.

M. Gourdin, Relation between the supertableaux of the supergroups OSp(2|2) and SU (1|2), J. Math. Phys, vol.27, 1986.

E. V. Ivashkevich, Correlation functions of dense polymers and c = ?2 Conformal Field Theory, J. Phys. A, vol.32, p.1691, 1999.

H. J. Vega and F. Woynarovich, Method for calculating finite size corrections in Bethe ansatz systems: Heisenberg chain and six-vertex model, Nucl. Phys. B, vol.251, p.439, 1985.

L. V. Adveev and B. Dorfel, Finite-size corrections for the XXX antiferromagnet, J. Phys. A: Math. Gen, vol.19, p.13, 1986.

C. J. Hamer, Finite-size corrections for ground states of the XXZ Heisenberg chain in the critical region, J. Phys. A: Math. Gen, vol.18, p.1133, 1985.

F. Woynarovich, Excitation spectrum of the spin-1/2 Heisenberg chain and conformal invariance, Phys. Rev. Lett, vol.59, p.202, 1987.

C. J. Hamer, G. R. Quispel, and M. T. Batchelor, Conformal anomaly and surface energy for Potts and Ashkin-Teller quantum chains, J. Phys. A: Math. Gen, vol.20, 1987.

R. E. Paley and N. Wiener, Fourier transforms in the complex domain, 1934.

A. Sommerfeld and . Optics, , 1964.

B. Noble, Methods based on the Wiener-Hopf techniques for the solution of partial differential equations, 1959.

V. G. Daniele and R. S. Zich, The Wiener-Hopf method in electromagnetics, 2014.

H. J. Vega and F. Woynarovich, Solution of the Bethe Ansatz equations with complex roots for finite size: the spin s ? 1 isotropic and anisotropic chains, J. Phys. A:Math. Gen, vol.23, p.1613, 1990.

P. A. Pearce and A. Klümper, Finite-size corrections and scaling dimensions of solvable lattice models: an analytic method, Phys. Rev. Lett, vol.66, 1991.

A. Klümper, M. T. Batchelor, and P. A. Pearce, Central charges of the 6-and 19-vertex models with twisted boundary conditions, J. Phys. A: Math. Gen, vol.24, 1991.

A. Klümper and P. A. Pearce, Conformal weights of RSOS lattice models and their fusion hierarchies, Physica A, vol.183, 1992.

C. Destri and H. J. Vega, New thermodynamic Bethe ansatz equations without strings, Phys. Rev. Lett, vol.69, 1992.

C. Destri and H. J. Vega, Unified approach to thermodynamic Bethe Ansatz and finite size corrections for lattice models and field theories, Nucl. Phys. B, vol.438, p.413, 1994.

K. Kawano and M. Takahashi, Logarithmic correction terms of the magnetic susceptibility in highly correlated electron systems, J. Phys. Soc. Jpn, vol.64, 1995.

M. Karbach and K. Mutter, The antiferromagnetic spin-1/2-XXZ model on rings with an odd number of sites, J. Phys. A: Math. Gen, vol.28, 1995.

A. Klümper, The spin-1/2 Heisenberg chain: thermodynamics, quantum criticality and spin-Peierls exponents, Eur. Phys. B, vol.5, 1998.

A. Klumper and M. T. Batchelor, An analytic treatment of finite-size corrections in the spin-1 antiferromagnetic XXZ chain, J. Phys. A: Math. Gen, vol.23, p.189, 1990.

H. M. Babujian and A. M. Tsvelick, Heisenberg magnet with an arbitrary spin and anisotropic chiral field, Nucl. Phys. B, vol.265, p.24, 1986.

J. Suzuki, Spinons in magnetic chains of arbitrary spins at finite temperatures, J. Phys. A:Math. Gen, vol.32, p.2341, 1999.

A. Klümper, Integrability of quantum chains: theory and applications to the spin-1/2 XXZ chain, Lect. Notes Phys, vol.645, p.349, 2004.

J. Damerau, Nonlinear integral equations for the thermodynamics of integrable quantum chains, 2008.

L. Hulthén, Über das Austauschproblem eines Kristalles, Arkiv Mat. Astron. Fysik, vol.26, issue.11, 1938.

V. E. Korepin, N. M. Bogoliubov, and A. G. Izergin, Quantum inverse scattering method and correlation functions, 1993.

Y. Ikhlef, J. L. Jacobsen, and H. Saleur, A staggered six-vertex model with noncompact continuum limit, Nucl. Phys. B, vol.789, 2008.
URL : https://hal.archives-ouvertes.fr/hal-00117461

C. Candu and Y. Ikhlef, Non-linear integral equations for the SL(2, R)/U (1) black hole sigma model, J. Phys. A: Gen, vol.46, 2013.

E. Vernier, J. L. Jacobsen, and H. Saleur, Non compact conformal field theory and the a (2) 2 (Izergin-Korepin) model in regime III, J. Phys. A: Math. Theor, vol.47, 2014.
URL : https://hal.archives-ouvertes.fr/cea-01065510

C. J. Hamer, M. T. Batchelor, and M. N. Barber, Logarithmic corrections to finite-size scaling in the four-state Potts model, J. Stat. Phys, vol.52, 1988.

P. Kurasov, Distribution theory for discontinuous test functions and differential operators with generalized coefficients, Journal of Mathematical Analysis and Applications, p.201, 1966.

R. B. Griffiths, Magnetization curve at zero temperature for the antiferromagnetic Heisenberg linear chain, Phys. Rev, vol.133, p.768, 1964.

M. Gaudin, La fonction d'onde de Bethe. Masson, 1983.

O. F. Syljuåsen and M. B. Zvonarev, Directed-loop Monte Carlo simulations of vertex models, Phys. Rev. E, vol.70, 2004.

D. Allison and N. Reshetikhin, Numerical study of the 6-vertex model with domain wall boundary conditions, Ann. Inst. Fourier, vol.55, 2005.

W. Jockusch, J. Propp, and P. Shor, Random domino tilings and the arctic circle theorem, 1995.

R. Kenyon, Conformal invariance of domino tilings, The Annals of Probability, vol.29, p.1128, 2001.

L. Petrov, Asymptotics of uniformly random lozenge tilings of polygons. Gaussian Free Field, Annals of Probability, vol.43, 2015.

N. Kitanine, K. K. Kozlowski, J. M. Maillet, N. A. Slavnov, and V. Terras, Algebraic Bethe ansatz approach to the asymptotic behavior of correlation functions, J. Stat. Mech, vol.04, p.4003, 2008.
URL : https://hal.archives-ouvertes.fr/ensl-00308844

N. Kitanine, J. Maillet, and V. Terras, Correlation functions of the XXZ Heisenberg spin-1/2 chain in a magnetic field, Nucl. Phys. B, vol.567, 2000.

N. Kitanine, J. Maillet, N. Slavnov, and V. Terras, Dynamical correlation functions of the XXZ spin-1/2 chain, Nucl. Phys. B, vol.729, 2005.
URL : https://hal.archives-ouvertes.fr/ensl-00266560

N. Kitanine, J. Maillet, N. Slavnov, and V. Terras, Master equation for spin-spin correlation functions of the XXZ chain, Nucl. Phys. B, vol.712, 2005.
URL : https://hal.archives-ouvertes.fr/ensl-00266563

D. Biegel, M. Karbach, and G. Müller, Transition rates via Bethe ansatz for the spin-1/2 Heisenberg chain, Europhys. Lett, vol.59, p.882, 2002.

J. Sato, M. Shirosihi, and M. Takahashi, Evaluation of dynamic spin structure factor for the spin-1/2 XXZ chain in a magnetic field, J. Phys. Soc. Jpn, vol.73, p.3008, 2004.

J. Caux and J. Maillet, Computation of dynamical correlation functions of Heisenberg chains in a field, Phys. Rev. Lett, vol.95, p.77301, 2005.
URL : https://hal.archives-ouvertes.fr/ensl-00266558

L. N. Lipatov, High energy asymptotics of multi-colour QCD and exactly solvable lattice models, JETP Lett, vol.59, p.596, 1994.

G. P. Korchemsky, Bethe ansatz for QCD Pomeron, Nucl. Phys. B, vol.443, p.255, 1995.

S. E. Derkachov, G. P. Korchemsky, J. Kotanski, and A. N. Manashov, Noncompact Heisenberg spin magnets from high-energy QCD: I. Baxter Q-operator and separation of variables, Nucl. Phys. B, vol.645, p.237, 2002.
URL : https://hal.archives-ouvertes.fr/hal-00110717

C. N. Yang and C. P. Yang, One-dimensional chain of anisotropic spin-spin interactions, Phys. Rev, vol.151, p.258, 1966.

C. N. Yang and C. P. Yang, One-dimensional chain of anisotropic spin-spin interactions. II Properties of the ground-state energy per lattice site for an infinite system, Phys. Rev, vol.150, p.327, 1966.

D. C. Cabra, A. Honecker, and P. Pujol, Magnetization plateaux in N-leg spin ladders, Phys. Rev. B, vol.58, p.6241, 1998.

N. M. Bogoliubov, A. G. Izergin, and V. E. Korepin, Critical exponents for integrable models, Nucl. Phys. B, vol.275, p.687, 1986.

G. I. Japaridze and A. A. Nersesyan, Low-temperature thermodynamics of a onedimensional interacting Fermi system, Journal of Low Temperature Physics, vol.47, p.91, 1982.

M. Takahashi, Correlation length and free energy of the s = 1/2 XXZ chain in a magnetic field, Phys. Rev. B, vol.44, p.12382, 1991.

J. C. Bonner and M. E. Fisher, Linear magnetic chains with anisotropic coupling, Phys. Rev, vol.135, p.640, 1964.

R. P. Hodgson and J. B. Parkinson, Bethe ansatz for two-deviation states in quantum spin chains of arbitrary S with anisotropic Heisenberg exchange, J. Phys. C: Solid State Phys, vol.18, p.6385, 1985.

R. M. Konik and P. Fendley, Haldane-gapped spin chains as Luttinger liquids: Correlation functions at finite field, Phys. Rev. B, vol.66, p.144416, 2002.

S. Katsura, Statistical mechanics of the anisotropic linear Heisenberg model, Phys. Rev, vol.127, p.1508, 1962.

C. M. Yung and M. T. Batchelor, Exact solution for the spin-s XXZ quantum chain with non-diagonal twists, Nucl. Phys. B, vol.446, p.461, 1995.

T. Fukui and N. Kawakami, Spectral flow of non-hermitian Heisenberg spin chain with complex twist, Nucl. Phys. B, vol.519, p.715, 1998.

P. Henrici, An algorithm for analytic continuation, J. SIAM Numer. Anal, vol.3, p.67, 1966.

V. E. Korepin, Calculation of norms of Bethe wave functions, Commun. Math. Phys, vol.86, 1982.

A. G. Izergin, Partition function of the six-vertex model in the finite volume, Sov. Phys. Dokl, vol.32, 1987.

A. G. Izergin, D. A. Coker, and V. E. Korepin, Determinant formula for the six-vertex model, J. Phys. A: Math. Gen, vol.25, 1992.

V. Korepin and P. Zinn-justin, Thermodynamic limit of the six-vertex model with domain wall boundary conditions, J. Phys. A, vol.33, 2000.

F. Colomo and A. Pronko, The arctic curve of the domain-wall six-vertex model, J. Stat. Phys, vol.138, 2010.
URL : https://hal.archives-ouvertes.fr/hal-00526718

L. P. , Asymptotics of uniformly random lozenge tilings of polygons. Gaussian free field, The Annals of Probability, vol.43, p.1, 2015.

P. Zinn-justin, Six-vertex, loop and tiling models: integrability and combinatorics, 2009.

H. Cohn, R. Kenyon, and J. Propp, A variational principle for domino tilings, Journal of the AMS, vol.14, p.297, 2001.

A. N. Kirillov, Dilogarithm identities, Prog. Theor. Phys. Suppl, vol.118, p.61, 1995.

K. J. Mcgown and H. R. Parks, The generalization of Faulhaber's formula to sums of non-integral powers, Journal of Mathematical Analysis and Applications, vol.330, p.571, 2007.