Mixing of ground states in vertex models

Jin Hong, Seok-Jin Kang, Tetsuji Miwa, R A Weston

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

We consider the analogue of the six-vertex model constructed from alternating spin n/2 and spin m/2 lines, where 1 = n < m. We identify the transfer matrix and the space on which it acts in terms of the representation theory of Uq (sl2). We diagonalize the transfer matrix and compute the S-matrix. We give a trace formula for local correlation functions. When n = 1, the one-point function of a spin m/2 local variable for the alternating lattice with a particular ground state is given as a linear combination of the one-point functions of the pure spin m/2 model with different ground states. The mixing ratios are calculated exactly and are expressed in terms of irreducible characters of Uq(sl2) and the deformed Virasoro algebra.

Original languageEnglish
Pages (from-to)L515-L525
JournalJournal of Physics A: Mathematical and General
Volume31
Issue number28
DOIs
Publication statusPublished - 17 Jul 1998

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