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Nested algebraic Bethe ansaetze for orthogonal and symplectic spin chains
- Publication Year :
- 2020
- Publisher :
- University of York, 2020.
-
Abstract
- In this thesis the nested algebraic Bethe ansatz technique is applied to various orthogonal and symplectic closed and open spin chain models. Each spin chain considered is regarded as a representation of an underlying quantum group algebra, and expressions for eigenvectors of transfer matrices associated to these models are constructed using the algebra relations, reducing the problem to a set of Bethe equations. The specific models considered are the Ol'shanskii twisted Yangian spin chain, where gl_n bulk symmetry is broken to orthogonal or symplectic symmetry; the MacKay twisted Yangian spin chain, an open spin chain with bulk orthogonal or symplectic symmetry and various boundary types; and the q-deformed orthogonal or symplectic closed spin chain. For the first and third cases, a closed 'trace formula' expression for the eigenvector is also provided.
Details
- Language :
- English
- Database :
- British Library EThOS
- Publication Type :
- Dissertation/ Thesis
- Accession number :
- edsble.829803
- Document Type :
- Electronic Thesis or Dissertation