Baxter's Q-operators and operatorial Bäcklund flow for quantum (super)-spin chains
From MaRDI portal
Publication:422399
DOI10.1007/s00220-012-1428-9zbMath1247.82023arXiv1010.4022OpenAlexW2155460992MaRDI QIDQ422399
Zengo Tsuboi, Vladimir A. Kazakov, Sébastien Leurent
Publication date: 16 May 2012
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1010.4022
Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) KdV equations (Korteweg-de Vries equations) (35Q53) Exactly solvable models; Bethe ansatz (82B23)
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Cites Work
- Finite size spectrum of \(\operatorname{SU}(N)\) principal chiral field from discrete Hirota dynamics
- From characters to quantum (super)spin chains via fusion
- Complete 1-loop test of AdS/CFT
- Wronskian solution for AdS/CFT Y-system
- Conformal weights of RSOS lattice models and their fusion hierarchies
- Solutions of the T-system and Baxter equations for supersymmetric spin chains
- Noncompact \(\mathrm{sl}(N)\) spin chains: BGG-resolution, Q-operators and alternating sum representation for finite-dimensional transfer matrices
- Quantum field theories in finite volume: Excited state energies
- Superconformal field theory and SUSY \(N=1\) KdV hierarchy. II: the \(Q\)-operator
- Bäcklund transformations for the difference Hirota equation and the supersymmetric Bethe ansatz
- An analogue of the character formula for Hecke algebras
- Integrable structure of conformal field theory. II: \(Q\)-operator and DDV equation
- Integrable structure of conformal field theory. III: The Yang-Baxter relation
- Quantum integrable models and discrete classical Hirota equations
- \(Q\)-operator and factorised separation chain for Jack polynomials
- Excited states by analytic continuation of TBA equations
- New developments in the eight vertex model
- Discrete Hirota dynamics for AdS/CFT
- PSU\((2, 2|4)\) character of quasiclassical AdS/CFT
- Pseudo-differential equations, and the Bethe ansatz for the classical Lie algebras
- Exact spectrum of anomalous dimensions of planar \(N = 4\) supersymmetric Yang-Mills theory: TBA and excited states
- Supersymmetric Bethe ansatz and Baxter equations from discrete Hirota dynamics
- Hidden Grassmann structure in the \(XXZ\) model
- Partition function of the eight-vertex lattice model
- Families of solutions of the nested Bethe ansatz for theA2spin chain
- FUNCTIONAL RELATIONS IN SOLVABLE LATTICE MODELS I: FUNCTIONAL RELATIONS AND REPRESENTATION THEORY
- Exercises with the universalR-matrix
- Diagonalisation of GL(N) invariant transfer matrices and quantum N-wave system (Lee model)
- 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
- A thermodynamic Bethe ansatz for planar AdS/CFT: a proposal
- The periodic Toda chain and a matrix generalization of the Bessel function recursion relations
- AN ALGEBRAIC APPROACH TO VERTEX MODELS AND TRANSFER MATRIX SPECTRA
- Pfaffian and determinant solutions to a discretized Toda equation for , and
- Analytic Bethe ansatz and functional equations for Lie superalgebra
- A Q-operator identity for the correlation functions of the infinite XXZ spin-chain
- The Baxter equation for quantum discrete Boussinesq equation
- Integrable structure of \(W_3\) conformal field theory, quantum Boussinesq theory and boundary affine Toda theory
