SU(2)/Z2 symmetry of the BKT transition and twisted boundary condition

Kiyohide Nomura, Atsuhiro Kitazawa

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Abstract

The Berezinskii-Kosterlitz-Thouless (BKT) transition, the transition of the two-dimensional sine-Gordon model, plays an important role in low-dimensional physics. We relate the operator content of the BKT transition to that of the SU(2) Wess-Zumino-Witten model, using twisted boundary conditions. With this method, in order k - 1 to determine the BKT critical point, we can use the level crossing of the lower excitations instead of those for the periodic boundary case, thus the convergence to the transition point is highly improved. We verify the efficiency of this method by applying it to the S = 1, 2 spin chains.

Original languageEnglish
Pages (from-to)7341-7362
Number of pages22
JournalJournal of Physics A: Mathematical and General
Volume31
Issue number36
DOIs
Publication statusPublished - Sep 11 1998

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All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Physics and Astronomy(all)

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