$U_q({\widehat{sl}}_n)$-analog of the XXZ chain with a boundary

Abstract

We study $U_q({\widehat{sl}}_n)$ analog of the XXZ spin chain with a boundary magnetic field h. We construct explicit bosonic formulas of the vacuum vector and the dual vacuum vector with a boundary magnetic field. We derive integral formulas of the correlation functions.

24 pages, LaTEX2e

References in corpus (2)

• Bosonization of quantum sine-Gordon field with a boundary
• Dynamical correlation functions for an impenetrable Bose gas with Neumann or Dirichlet boundary conditions

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• The massless XXZ chain with a boundary
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• Diagonalization of infinite transfer matrix of boundary $U_{q,p}(A_{N-1}^{(1)})$ face model
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• Difference equations for correlation functions of Belavin's $Z_n$-symmetric model with boundary reflection
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