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Contracted and expanded integrable structures

Doikou, A and Sfetsos, K (2009) Contracted and expanded integrable structures J.Phys.A, 42.

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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.

Item Type: Article
Divisions : Surrey research (other units)
Authors :
Doikou, A
Date : 22 April 2009
DOI : 10.1088/1751-8113/42/47/475204
Uncontrolled Keywords : hep-th, hep-th, math-ph, math.MP, nlin.SI
Related URLs :
Depositing User : Symplectic Elements
Date Deposited : 17 May 2017 12:26
Last Modified : 24 Jan 2020 22:14

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