KP and Toda tau functions in Bethe ansatz
arXiv:1003.3071 · doi:10.1142/9789814324373_0019
Abstract
Recent work of Foda and his group on a connection between classical integrable hierarchies (the KP and 2D Toda hierarchies) and some quantum integrable systems (the 6-vertex model with DWBC, the finite XXZ chain of spin 1/2, the phase model on a finite chain, etc.) is reviewed. Some additional information on this issue is also presented.
latex2e, using ws-procs9x6 package, 19 pages, contribution to the festschrift volume for the 60th anniversary of Tetsuji Miwa
References in corpus (6)
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- XXZ scalar products and KP
- Domain wall partition functions and KP
- Determinantal Representation of the Time-Dependent Stationary Correlation Function for the Totally Asymmetric Simple Exclusion Model
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Cited by in corpus (8)
- Classical tau-function for quantum spin chains
- Vertex models, TASEP and Grothendieck polynomials
- K-theoretic boson-fermion correspondence and melting crystals
- ABJM Matrix Model and 2D Toda Lattice Hierarchy
- Pfaffian structures and certain solutions to BKP hierarchies II. Multiple integrals
- Bethe ansatz and Hirota equation in integrable models
- Free fermions in classical and quantum integrable models
- Comments on Slavnov products, Temperley-Lieb open spin chains, and KP tau functions