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Acta Physica Polonica A

Point Group Interpretation of Galois Symmetry of Bethe Ansatz Solutions of Magnetic Pentagonal Ring

Barbara Lulek, Tadeusz Lulek, M. Łabuz, Jan Milewski

Published Feb 1, 2015• 0 citations
Publisher

Abstract

Exact solutions of the eigenproblem of the magnetic pentagonal ring exhibit the arithmetic symmetry expressed in terms of a Galois group of a nite extension of the prime eld Q of rationals.We propose here a geometric interpretation of this symmetry in the interior of the Brillouin zone, in terms of point groups.Explicitly, it is a subgroup of the direct product C4 × D4.We present also the appropriate irreducible representations of the group.

DOI
10.12693/aphyspola.127.336

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