Integrable systems, shuffle algebras, and bethe equations

Boris L. Feigin

doi:10.1090/mosc/259

Integrable systems, shuffle algebras, and bethe equations

Boris L. Feigin^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

We speak about the part of integrable system theory dealing with conformal theory and W-algebras (ordinary and deformed). Some new approaches to finding Bethe equations that describe the spectrum of Hamiltonians of these quantum integrable systems are developed. The derivation of the Bethe equations is based on the technique of shuffle algebras arising in quantum group theory.

Original language	English
Pages (from-to)	203-246
Number of pages	44
Journal	Transactions of the Moscow Mathematical Society
Volume	77
DOIs	https://doi.org/10.1090/mosc/259
State	Published - 2016
Externally published	Yes

Bibliographical note

Publisher Copyright:
© 2016 American Mathematical Society.

Keywords

Affine Lie algebra
Bethe equations
Center at the critical level
Drinfeld–Sokolov reduction
Integrable system
Quantum group
Shuffle algebra

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10.1090/mosc/259

Cite this

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Integrable systems, shuffle algebras, and bethe equations

Abstract

Bibliographical note

Keywords

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