Bethe ansatz and Hirota equation in integrable models
arXiv:1211.4428
Abstract
In this short review the role of the Hirota equation and the tau-function in the theory of classical and quantum integrable systems is outlined.
8 pages
References in corpus (10)
- Quantum Inverse Scattering Method and Correlation Functions
- How Algebraic Bethe Ansatz works for integrable model
- Algebraic Aspects of Bethe-Ansatz
- Spin generalization of the Ruijsenaars-Schneider model, non-abelian 2D Toda chain and representations of Sklyanin algebra
- Supersymmetric Bethe Ansatz and Baxter Equations from Discrete Hirota Dynamics
- Calogero-Moser hierarchy and KP hierarchy
- Baxter's Q-operators and operatorial Backlund flow for quantum (super)-spin chains
- Classical tau-function for quantum spin chains
- Backlund transformations for difference Hirota equation and supersymmetric Bethe ansatz
- KP and Toda tau functions in Bethe ansatz
Cited by in corpus (5)
- On Three Dimensional Quiver Gauge Theories and Integrability
- The master T-operator for the Gaudin model and the KP hierarchy
- Classical integrability for beta-ensembles and general Fokker-Planck equations
- The Master T-Operator for Inhomogeneous XXX Spin Chain and mKP Hierarchy
- On the Integrable Structure of Super Yang-Mills Scattering Amplitudes