The Role of the Central Element in the Quantum Algebra Underlying the Twisted XXZ Chain

Abstract

We study the relationship among the XXZ Heisenberg model and three models obtained from it by various transformations. In particular, we emphasize the role of a non trivial central element $t^Z$ in the underlying algebra and its relationship with the twisted boundary conditions, $S_{N+1}^{\pm }=t^{\pm N}{S}_1^{\pm }$.

LaTeX file, 15 pages

References in corpus (3)

• Quantum Inverse Scattering Method and Correlation Functions
• Algebraic Aspects of Bethe-Ansatz
• The Quantum Algebraic Structure of the Twisted XXZ Chain

Cited by in corpus (3)

• Multiparametric quantum gl(2): Lie bialgebras, quantum R-matrices and non-relativistic limits
• Integrable multiparametric quantum spin chains
• Quantum harmonic oscillator algebras as non-relativistic limits of multiparametric $gl(2)$ quantizations