Point Group Interpretation of Galois Symmetry of Bethe Ansatz Solutions of Magnetic Pentagonal Ring
Barbara Lulek, Tadeusz Lulek, M. Łabuz +1 more
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.
Acta Physica Polonica A•Feb 1, 2015•0 citations