TRIGONOMETRIC sℓ(2) GAUDIN MODEL WITH BOUNDARY TERMS

Author:

CIRILO ANTÓNIO N.1,MANOJLOVIĆ N.23,NAGY Z.2

Affiliation:

1. Centro de Análise Funcional e Aplicações, Instituto Superior Técnico, Universidade Técnica de Lisboa, Av. Rovisco Pais, 1049-001 Lisboa, Portugal

2. Grupo de Física Matemática da Universidade de Lisboa, Av. Prof. Gama Pinto 2, PT-1649-003 Lisboa, Portugal

3. Departamento de Matemática, F. C. T., Universidade do Algarve, Campus de Gambelas, PT-8005-139 Faro, Portugal

Abstract

We review the derivation of the Gaudin model with integrable boundaries. Starting from the non-symmetric R-matrix of the inhomogeneous spin-½ XXZ chain and generic solutions of the reflection equation and the dual reflection equation, the corresponding Gaudin Hamiltonians with boundary terms are calculated. An alternative derivation based on the so-called classical reflection equation is discussed.

Publisher

World Scientific Pub Co Pte Lt

Subject

Mathematical Physics,Statistical and Nonlinear Physics

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