Zur Theorie der Metalle, Z. Physik, vol.71, p.205, 1931. ,
Crystal statistics. I. A two-dimensional model with an order-disorder transition, Phys. Rev, vol.65, p.117, 1944. ,
Exactly solved models in statistical mechanics, 1982. ,
Quantum inverse problem. I, Theor. Math. Phys, vol.40, p.688, 1979. ,
The quantum method of the inverse problem and the Heisenberg XYZ model, Russian Math. Surveys, vol.34, issue.5, p.11, 1979. ,
Quantum version of the method of inverse scattering problem, J. Sov. Math, vol.19, issue.5, p.1546, 1982. ,
Yang-Baxter equation in integrable systems, Advanced series in mathematical physics, vol.10, 1990. ,
High energy QCD as a completely integrable model, Phys. Lett. B, vol.342, p.311, 1995. ,
Quantum inverse scattering method, p.63, 1992. ,
On quantum separation of variables, Journal of Mathematical Physics, vol.59, p.91417, 2018. ,
URL : https://hal.archives-ouvertes.fr/hal-01861973
Calculation of scalar products of wave functions and form factors in the framework of the algebraic Bethe ansatz, Theor. Math. Phys, vol.79, 1989. ,
Spin-spin correlation functions of the XXZ-1/2 Heisenberg chain in a magnetic field, Nucl. Phys. B, vol.641, 2002. ,
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
Correlation functions of integrable models: a description of the ABACUS algorithm, J. Math. Phys, vol.50, 2009. ,
Measurement of the spin-excitation continuum in one-dimensional KCuF3 using neutron scattering, Phys. Rev. B, vol.52, p.13368, 1995. ,
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
Hopf algebras and the quantum Yang-Baxter equation, Dokl. Acad. Nauk SSSR, vol.283, p.1060, 1985. ,
Critical behavior of two-dimensional systems with continuous symmetries, Phys. Rev. Lett, vol.55, p.1355, 1985. ,
Infinite conformal symmetry in two-dimensional quantum field theory, Nucl. Phys. B, vol.241, p.333, 1984. ,
Conformal invariance, the central charge, and universal finite-size amplitudes at criticality, Phys. Rev. Lett, vol.56, 1986. ,
Universal term in the free energy at a critical point and the conformal anomaly, Phys. Rev. Lett, vol.56, 1986. ,
Operator content of two-dimensional conformally invariant theories, Nucl. Phys. B, vol.270, 1986. ,
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. ,
Finite-size corrections for integrable systems and conformal properties of six-vertex models, Nucl. Phys. B, vol.200, p.473, 1988. ,
Finite-size corrections and scaling dimensions of solvable lattice models: An analytic method, J. Phys. A, vol.23, p.189, 1990. ,
Conformal spectrum of the six-vertex model, J. Phys. A: Math. Gen, vol.26, p.2815, 1993. ,
The continuum limit of sl(N |K) integrable super spin chains, Nucl. Phys. B, vol.578, p.552, 2000. ,
, The onedimensional Hubbard model, 2003.
Complete solution of the onedimensional Hubbard model, Phys. Rev. Lett, vol.67, p.3848, 1991. ,
Higher conservation laws and algebraic Bethe ansatz for the supersymmetric t ? j model, Phys. Rev. B, vol.46, p.9147, 1992. ,
Supersymmetry and theory of disordered metals, Adv. Phys, vol.32, p.53, 1983. ,
(perturbed) conformal field theory applied to 2D disordered systems: an introduction, 1995. ,
, Supermathematics and its applications in statistical physics, 2016.
Polymers and percolation in two dimensions and twisted N = 2 supersymmetry, Nucl. Phys. B, vol.382, p.486, 1992. ,
The dimer problem and the Kirchhoff theorem, Sov. Phys. Usp, vol.28, p.1125, 1985. ,
Fermionic field theory for trees and forests, Phys. Rev. Lett, vol.93, p.80601, 2004. ,
URL : https://hal.archives-ouvertes.fr/hal-00002931
The arboreal gas and the supersphere sigma model, Nucl. Phys. B, vol.716, p.439, 2005. ,
URL : https://hal.archives-ouvertes.fr/hal-00004124
Logarithmic operators in conformal field theory, Nucl. Phys. B, vol.410, p.535, 1993. ,
New method for high-accuracy determination of the fine-structure constant based on quantized Hall resistance, Phys. Rev. Lett, vol.45, p.494, 1980. ,
Percolation, quantum tunnelling and the integer Hall effect, J. Phys. C, vol.21, p.2665, 1988. ,
Scaling theory of the integer quantum Hall effect, Rev. Mod. Phys, vol.67, p.357, 1995. ,
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. ,
Single electron in a random potential and a strong magnetic field, Nucl. Phys. B, vol.290, p.87, 1987. ,
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
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
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
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
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
Inhomogeneous Gaussian Free Field inside the interacting arctic curve, J. Stat. Mech, 2019. ,
URL : https://hal.archives-ouvertes.fr/hal-02184291
Linear antiferromagnetic chain with anisotropic coupling, Phys. Rev, vol.112, p.309, 1958. ,
Remarks on the notion of quantum integrability, J. Stat. Mech, p.2023, 2011. ,
Fine structure of the Bethe ansatz for the spin-1/2 Heisenberg XXX model, J. Phys. A: Math. Gen, vol.23, p.4115, 1992. ,
Bethe's equation is incomplete for the XXZ model at roots of unity, J. Stat. Phys, vol.103, p.516, 2001. ,
Algebraic Bethe ansatz for singular solutions, J. Phys. A, vol.46, p.325002, 2013. ,
Exceptional solutions of the Bethe ansatz equations, Theor. Math. Phys, vol.69, p.1071, 1987. ,
Twisting singular solutions of Bethe's equations, J. Phys. A, vol.47, p.505004, 2014. ,
Fast analytic solver of rational Bethe equations, J. Phys. A: Math. Theor, vol.50, p.204002, 2017. ,
Bethe equations 'on the wrong side of the equator', J. Phys. A: Math. Gen, vol.32, p.2333, 1999. ,
Dominos and the Gaussian Free Field, The Annals of Probability, vol.29, 2001. ,
Critical percolation in the plane: conformal invariance, Cardy's formula, scaling limit, Comptes Rendus de l'Académie des Sciences, vol.333, p.239, 2001. ,
, , 2013.
Critical behaviour of spin-s Heisenberg antiferromagnetic chains: analytic and numerical results, J. Phys. A: Math. Gen, vol.22, 1989. ,
Numerical evidence for multiplicative logarithmic corrections from marginal operators, Phys. Rev. B, vol.54, p.9612, 1996. ,
Coulomb gas formulations of two-dimensional phase transitions, Phase transitions and critical phenomena, vol.11, 1987. ,
Exact critical properties of two-dimensional dense selfavoiding walks, Nucl. Phys. B, vol.290, p.291, 1987. ,
Theory of Toeplitz determinants and the spin correlations of the twodimensional Ising model. I, Phys. Rev, vol.149, 1966. ,
Theory of Toeplitz determinants and the spin correlations of the two-dimensional Ising model. III, Phys. Rev, vol.164, 1967. ,
Infinite hierarchies of exponents in a diluted ferromagnet and their interpretation, Nucl. Phys. B, vol.330, 1990. ,
Exact critical behavior of a random-bond two-dimensional Ising model, Phys. Rev. Lett, vol.58, 1987. ,
Numerical investigation of logarithmic corrections in two-dimensional spin models, JETP Letters, vol.5, 2004. ,
URL : https://hal.archives-ouvertes.fr/hal-00001118
Logarithmic corrections to correlation decay in two-dimensional random-bond Ising systems, Phys. Rev. E, vol.74, 2006. ,
A local logarithmic conformal field theory, Nucl. Phys. B, vol.538, p.631, 1999. ,
Symplectic fermions, Nucl. Phys. B, vol.583, p.513, 2000. ,
Logarithmic observables in critical percolation, J. Stat. Mech, 2012. ,
, Multiple-SLE connectivity weights for rectangles, hexagons, and octagons, 2015.
Exact logarithmic four-point functions in the critical twodimensional Ising model, Phys. Rev. Lett, vol.119, 0200. ,
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
Logarithmic conformal field theories as limits of ordinary CFTs and some physical applications, J. Phys. A: Math. Theor, vol.46, 2013. ,
Non-unitary Conformal Field Theory and logarithmic operators for disordered systems, Nucl. Phys. B, vol.603, p.489, 1997. ,
The spin-1/2 Heisenberg chain: thermodynamics, quantum criticality and spin-Peierls exponents, Eur. Phys. J. B, vol.5, 1998. ,
Ordering, metastability and phase transitions in two-dimensional systems, J. Phys. C: Solid State Phys, vol.6, p.1181, 1973. ,
Quantum field theory for the multi-variable AlexanderConway polynomial, Nucl. Phys. B, vol.376, p.461, 1992. ,
Logarithmic operators and hidden continuous symmetry in critical disordered systems, Nucl. Phys. B, vol.466, p.444, 1996. ,
Curiosities at c = ?2, 1995. ,
An intersecting loop model as a solvable super spin chain, Phys. Rev. Lett, vol.81, p.504, 1998. ,
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
The collapse point of interacting trails in two dimensions from kinetic growth simulations, J. Stat. Phys, vol.79, p.951, 1995. ,
Lorentz lattice-gas and kinetic-walk model, Phys. Rev. A, vol.44, p.2410, 1991. ,
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
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. ,
Finite-size effects in the spectrum of the Osp(3|2) superspin chain, Nucl. Phys. B, vol.894, p.665, 2015. ,
Logarithmic corrections to finite-size scaling in strips, J. Phys. A: Math. Gen, vol.19, p.1093, 1986. ,
Loop models with crossings, Phys. Rev. B, vol.87, p.184204, 2013. ,
The theory of Lie superalgebras, 1979. ,
Four-loop order ?-function of nonlinear ?-models in symmetric spaces, Nucl. Phys. B, vol.316, p.663, 1988. ,
A two-loop calculation of the mass gap for the O(N ) model in finite volume, Nucl. Phys. B, vol.252, p.689, 1985. ,
Exact solution of an electronic model of superconductivity in 1 + 1 dimensions, Int. J. Mod. Phys. B, vol.8, p.3205, 0201. ,
R-matrix presentation for (super)-Yangians Y (g), J. Math. Phys, vol.44, p.302, 2003. ,
URL : https://hal.archives-ouvertes.fr/hal-00003184
R-matrices and spectrum of vertex models based on superalgebras, Nucl. Phys. B, vol.699, p.455, 2004. ,
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
, The group with Grassmann structure U OSp(1|2), vol.78, 1981.
The exact solution and the finite-size behaviour of the Osp(1|2)-invariant spin chain, Nucl. Phys. B, vol.450, p.768, 1995. ,
Low energy effective Hamiltonian for the XXZ spin chain, Nucl. Phys. B, vol.552, p.533, 1998. ,
An integrable spin chain for the SL(2, R)/U (1) black hole sigma model, Phys. Rev. Lett, vol.108, p.81601, 2012. ,
On the classification of irreducible osp(2|2) representations, Kyushu J. Math, vol.66, 2012. ,
Exact solution and finite size properties of the U q (osp(2|2m)) vertex model, Nucl. Phys. B, vol.768, p.219, 2007. ,
Finite and infinite dimensional representations of the orthosymplectic superalgebra osp(3|2), J. Math. Phys, vol.25, p.3334, 1984. ,
Combinatorial nature of ground state vector of O(1) loop model, Theor. Math. Phys, vol.138, 2004. ,
A scheme related to the Brauer loop model, Advances in Mathematics, vol.214, 2007. ,
A solvable model for intersecting loops, pp.92-127, 1993. ,
, Continuum limit of gl(M |N ), vol.1107, 2011.
Relation between the supertableaux of the supergroups OSp(2|2) and SU (1|2), J. Math. Phys, vol.27, 1986. ,
Correlation functions of dense polymers and c = ?2 Conformal Field Theory, J. Phys. A, vol.32, p.1691, 1999. ,
Method for calculating finite size corrections in Bethe ansatz systems: Heisenberg chain and six-vertex model, Nucl. Phys. B, vol.251, p.439, 1985. ,
Finite-size corrections for the XXX antiferromagnet, J. Phys. A: Math. Gen, vol.19, p.13, 1986. ,
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. ,
Excitation spectrum of the spin-1/2 Heisenberg chain and conformal invariance, Phys. Rev. Lett, vol.59, p.202, 1987. ,
Conformal anomaly and surface energy for Potts and Ashkin-Teller quantum chains, J. Phys. A: Math. Gen, vol.20, 1987. ,
Fourier transforms in the complex domain, 1934. ,
, , 1964.
Methods based on the Wiener-Hopf techniques for the solution of partial differential equations, 1959. ,
The Wiener-Hopf method in electromagnetics, 2014. ,
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. ,
Finite-size corrections and scaling dimensions of solvable lattice models: an analytic method, Phys. Rev. Lett, vol.66, 1991. ,
Central charges of the 6-and 19-vertex models with twisted boundary conditions, J. Phys. A: Math. Gen, vol.24, 1991. ,
Conformal weights of RSOS lattice models and their fusion hierarchies, Physica A, vol.183, 1992. ,
New thermodynamic Bethe ansatz equations without strings, Phys. Rev. Lett, vol.69, 1992. ,
Unified approach to thermodynamic Bethe Ansatz and finite size corrections for lattice models and field theories, Nucl. Phys. B, vol.438, p.413, 1994. ,
Logarithmic correction terms of the magnetic susceptibility in highly correlated electron systems, J. Phys. Soc. Jpn, vol.64, 1995. ,
The antiferromagnetic spin-1/2-XXZ model on rings with an odd number of sites, J. Phys. A: Math. Gen, vol.28, 1995. ,
The spin-1/2 Heisenberg chain: thermodynamics, quantum criticality and spin-Peierls exponents, Eur. Phys. B, vol.5, 1998. ,
An analytic treatment of finite-size corrections in the spin-1 antiferromagnetic XXZ chain, J. Phys. A: Math. Gen, vol.23, p.189, 1990. ,
Heisenberg magnet with an arbitrary spin and anisotropic chiral field, Nucl. Phys. B, vol.265, p.24, 1986. ,
Spinons in magnetic chains of arbitrary spins at finite temperatures, J. Phys. A:Math. Gen, vol.32, p.2341, 1999. ,
Integrability of quantum chains: theory and applications to the spin-1/2 XXZ chain, Lect. Notes Phys, vol.645, p.349, 2004. ,
Nonlinear integral equations for the thermodynamics of integrable quantum chains, 2008. ,
Über das Austauschproblem eines Kristalles, Arkiv Mat. Astron. Fysik, vol.26, issue.11, 1938. ,
, Quantum inverse scattering method and correlation functions, 1993.
A staggered six-vertex model with noncompact continuum limit, Nucl. Phys. B, vol.789, 2008. ,
URL : https://hal.archives-ouvertes.fr/hal-00117461
Non-linear integral equations for the SL(2, R)/U (1) black hole sigma model, J. Phys. A: Gen, vol.46, 2013. ,
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
Logarithmic corrections to finite-size scaling in the four-state Potts model, J. Stat. Phys, vol.52, 1988. ,
Distribution theory for discontinuous test functions and differential operators with generalized coefficients, Journal of Mathematical Analysis and Applications, p.201, 1966. ,
Magnetization curve at zero temperature for the antiferromagnetic Heisenberg linear chain, Phys. Rev, vol.133, p.768, 1964. ,
, La fonction d'onde de Bethe. Masson, 1983.
Directed-loop Monte Carlo simulations of vertex models, Phys. Rev. E, vol.70, 2004. ,
Numerical study of the 6-vertex model with domain wall boundary conditions, Ann. Inst. Fourier, vol.55, 2005. ,
Random domino tilings and the arctic circle theorem, 1995. ,
Conformal invariance of domino tilings, The Annals of Probability, vol.29, p.1128, 2001. ,
Asymptotics of uniformly random lozenge tilings of polygons. Gaussian Free Field, Annals of Probability, vol.43, 2015. ,
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
Correlation functions of the XXZ Heisenberg spin-1/2 chain in a magnetic field, Nucl. Phys. B, vol.567, 2000. ,
Dynamical correlation functions of the XXZ spin-1/2 chain, Nucl. Phys. B, vol.729, 2005. ,
URL : https://hal.archives-ouvertes.fr/ensl-00266560
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
Transition rates via Bethe ansatz for the spin-1/2 Heisenberg chain, Europhys. Lett, vol.59, p.882, 2002. ,
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. ,
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
High energy asymptotics of multi-colour QCD and exactly solvable lattice models, JETP Lett, vol.59, p.596, 1994. ,
Bethe ansatz for QCD Pomeron, Nucl. Phys. B, vol.443, p.255, 1995. ,
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
One-dimensional chain of anisotropic spin-spin interactions, Phys. Rev, vol.151, p.258, 1966. ,
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. ,
Magnetization plateaux in N-leg spin ladders, Phys. Rev. B, vol.58, p.6241, 1998. ,
Critical exponents for integrable models, Nucl. Phys. B, vol.275, p.687, 1986. ,
Low-temperature thermodynamics of a onedimensional interacting Fermi system, Journal of Low Temperature Physics, vol.47, p.91, 1982. ,
Correlation length and free energy of the s = 1/2 XXZ chain in a magnetic field, Phys. Rev. B, vol.44, p.12382, 1991. ,
Linear magnetic chains with anisotropic coupling, Phys. Rev, vol.135, p.640, 1964. ,
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. ,
Haldane-gapped spin chains as Luttinger liquids: Correlation functions at finite field, Phys. Rev. B, vol.66, p.144416, 2002. ,
Statistical mechanics of the anisotropic linear Heisenberg model, Phys. Rev, vol.127, p.1508, 1962. ,
Exact solution for the spin-s XXZ quantum chain with non-diagonal twists, Nucl. Phys. B, vol.446, p.461, 1995. ,
Spectral flow of non-hermitian Heisenberg spin chain with complex twist, Nucl. Phys. B, vol.519, p.715, 1998. ,
An algorithm for analytic continuation, J. SIAM Numer. Anal, vol.3, p.67, 1966. ,
Calculation of norms of Bethe wave functions, Commun. Math. Phys, vol.86, 1982. ,
Partition function of the six-vertex model in the finite volume, Sov. Phys. Dokl, vol.32, 1987. ,
Determinant formula for the six-vertex model, J. Phys. A: Math. Gen, vol.25, 1992. ,
Thermodynamic limit of the six-vertex model with domain wall boundary conditions, J. Phys. A, vol.33, 2000. ,
The arctic curve of the domain-wall six-vertex model, J. Stat. Phys, vol.138, 2010. ,
URL : https://hal.archives-ouvertes.fr/hal-00526718
Asymptotics of uniformly random lozenge tilings of polygons. Gaussian free field, The Annals of Probability, vol.43, p.1, 2015. ,
, Six-vertex, loop and tiling models: integrability and combinatorics, 2009.
A variational principle for domino tilings, Journal of the AMS, vol.14, p.297, 2001. ,
Dilogarithm identities, Prog. Theor. Phys. Suppl, vol.118, p.61, 1995. ,
The generalization of Faulhaber's formula to sums of non-integral powers, Journal of Mathematical Analysis and Applications, vol.330, p.571, 2007. ,