Contracted and expanded integrable structures

Anastasia Doikou, Konstadinos Sfetsos

Research output: Contribution to journalArticle

Abstract

We propose a generic framework to obtain certain types of contracted and centrally extended algebras. This is based on the existence of quadratic algebras (reflection algebras and twisted Yangians), naturally arising in the context of boundary integrable models. A quite old misconception regarding the "expansion" of the E_2 algebra into sl_2 is resolved using the representation theory of the aforementioned quadratic algebras. We also obtain centrally extended algebras associated to rational and trigonometric (q-deformed) R-matrices that are solutions of the Yang--Baxter equation.
Original languageEnglish
JournalJournal of Physics A: Mathematical and Theoretical
Volume42
Issue number47
DOIs
Publication statusPublished - 27 Nov 2009

Keywords

  • hep-th
  • math-ph
  • math.MP
  • nlin.SI

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