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

被引：0

作者：

Lulek, B. ^{[1
]}

Lulek, T. ^{[2
]}

Labuz, M. ^{[3
]}

Milewski, J. ^{[4
]}

机构：

[1] East European State Higher Sch, PL-37700 Przemysl, Poland

[2] Adam Mickiewicz Univ, Fac Phys, PL-61614 Poznan, Poland

[3] Univ Rzeszow, Fac Math & Nat Sci, Dept Theoret Phys, PL-35310 Rzeszow, Poland

[4] Poznan Univ Tech, Inst Math, PL-60965 Poznan, Poland

来源：

ACTA PHYSICA POLONICA A | 2015年 / 127卷 / 02期

关键词：

STRINGS;

D O I：

10.12693/APhysPolA.127.336

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Exact solutions of the eigenproblem of the magnetic pentagonal ring exhibit the arithmetic symmetry expressed in terms of a Galois group of a finite extension of the prime field 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 C-4 x D-4. We present also the appropriate irreducible representations of the group.

引用

页码：336 / 338

页数：3

共 28 条

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