Classical tau-function for quantum spin chains
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Publication:737566
DOI10.1007/JHEP09(2013)064zbMath1342.81179arXiv1112.3310WikidataQ58009669 ScholiaQ58009669MaRDI QIDQ737566
Zengo Tsuboi, Alexander Alexandrov, Anton V. Zabrodin, Vladimir A. Kazakov, Sébastien Leurent
Publication date: 12 August 2016
Published in: Journal of High Energy Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1112.3310
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Cites Work
- KZ characteristic variety as the zero set of classical Calogero-Moser Hamiltonians
- Baxter's Q-operators and operatorial Bäcklund flow for quantum (super)-spin chains
- From characters to quantum (super)spin chains via fusion
- Wronskian solution for AdS/CFT Y-system
- Baxter Q-operators and representations of Yangians
- Oscillator construction of \(\mathfrak{su}(n|m)\) \(Q\)-operators
- Conformal weights of RSOS lattice models and their fusion hierarchies
- Solutions of the T-system and Baxter equations for supersymmetric spin chains
- Baxter operators for arbitrary spin
- Solitons and infinite dimensional Lie algebras
- Hidden Grassmann structure in the \(XXZ\) model. II: Creation operators
- Superconformal field theory and SUSY \(N=1\) KdV hierarchy. II: the \(Q\)-operator
- Schur function expansion for normal matrix model and associated discrete matrix models
- Baxter's Q-operators for supersymmetric spin chains
- Bäcklund transformations for the difference Hirota equation and the supersymmetric Bethe ansatz
- Rational solutions of the Zakharov-Shabat equations and completely integrable systems of \(N\) particles on a line
- An analogue of the character formula for Hecke algebras
- Yang-Baxter equation and representation theory. I
- Rational \(KP\) and \(mKP\)-solutions in Wronskian form
- Holonomic quantum fields. I
- Rational solutions of the Kadomtsev-Petviashvili equation and integrable systems of \(n\) particles on a line
- Integrable structure of conformal field theory. III: The Yang-Baxter relation
- Modified KP and discrete KP
- Quantum integrable models and discrete classical Hirota equations
- \(Q\)-operator and factorised separation chain for Jack polynomials
- Hirota equation and Bethe ansatz
- A note on the modified KP hierarchy and its (yet another) dispersionless limit
- Solving the AdS/CFT Y-system
- On Hirota's difference equations
- New developments in the eight vertex model
- Wronskian solutions of the T-, Q- and Y-systems related to infinite dimensional unitarizable modules of the general linear superalgebra \(gl(M|N)\)
- XXZ scalar products and KP
- PSU\((2, 2|4)\) character of quasiclassical AdS/CFT
- Rational Ruijsenaars-Schneider hierarchy and bispectral difference operators
- Supersymmetric Bethe ansatz and Baxter equations from discrete Hirota dynamics
- Coupled modified KP hierarchy and its dispersionless limit
- Hidden Grassmann structure in the \(XXZ\) model
- The quantum Gaudin system
- Partition function of the eight-vertex lattice model
- Toda lattice hierarchy and conservation laws
- Scalar products of symmetric functions and matrix integrals
- FUNCTIONAL RELATIONS IN SOLVABLE LATTICE MODELS I: FUNCTIONAL RELATIONS AND REPRESENTATION THEORY
- ALGEBRAIC ASPECTS OF THE BETHE ANSATZ
- GENERALIZED KAZAKOV-MIGDAL-KONTSEVICH MODEL: GROUP THEORY ASPECTS
- Jacobi-Trudy formula for generalised Schur polynomials
- Gaudin Hamiltonians generate the Bethe algebra of a tensor power of the vector representation of $\mathfrak{gl}_{N}$
- Exercises with the universalR-matrix
- Discrete Hirota's Equation in Quantum Integrable Models
- Quantization of models with non-compact quantum group symmetry: modular XXZ magnet and lattice sinh-Gordon model
- Restricted solid-on-solid models connected with simply laced algebras and conformal field theory
- Baxter'sQ-operator for theW-algebraWN
- Factorization of \mathcal{R} -matrix and Baxter \mathcal{Q} -operators for genericsl(N) spin chains
- Hidden Grassmann structure in the XXZ model III: introducing the Matsubara direction
- The periodic Toda chain and a matrix generalization of the Bessel function recursion relations
- Analytic Bethe ansatz and functional equations for Lie superalgebra
- Quantum Jacobi-Trudi and Giambelli formulae for Uq(Br(1)) from the analytic Bethe ansatz
- Spin generalization of the Ruijsenaars-Schneider model, the non-Abelian 2D Toda chain, and representations of the Sklyanin algebra
- The BaxterQ-operator for the gradedSL(2|1) spin chain
- A Q-operator identity for the correlation functions of the infinite XXZ spin-chain
- Fermionic construction of partition functions for two-matrix models and perturbative Schur function expansions
- The Baxter equation for quantum discrete Boussinesq equation
- Integrable structure of \(W_3\) conformal field theory, quantum Boussinesq theory and boundary affine Toda theory
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