Integrable models from twisted half-loop algebras

N. Crampe, C. A. S. Young

Research output: Contribution to journalArticlepeer-review

Abstract

This paper is devoted to the construction of new integrable quantum-mechanical models based on certain subalgebras of the half-loop algebra of gl(N). Various results about these subalgebras are proven by presenting them in the notation of the St Petersburg school. These results are then used to demonstrate the integrability, and find the symmetries, of two types of physical system: twisted Gaudin magnets and Calogero-type models of particles on several half lines meeting at a point.

Original languageEnglish
Pages (from-to)5491-5509
Number of pages19
JournalJournal of Physics A: Mathematical and Theoretical
Volume40
Issue number21
DOIs
Publication statusPublished - 25 May 2007

Keywords

  • TODA FIELD-THEORIES
  • BOUNDARY-CONDITIONS
  • REFLECTION GROUPS
  • QUANTUM-SYSTEMS
  • BETHE-ANSATZ
  • PARTICLES
  • OPERATORS

Cite this