Galois Symmetries of Bethe Parameters for the Heisenberg Pentagon

G. Banaszak; B. Lulek; T. Lulek; Jan Milewski; B. Szydło

doi:10.1016/S0034-4877(13)60030-0

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Title

Galois Symmetries of Bethe Parameters for the Heisenberg Pentagon

Authors

^{[ 1 ]} Instytut Matematyki, Wydział Elektryczny, Politechnika Poznańska | ^{[ P ]} employee

Year of publication

2013

Published in

Reports on Mathematical Physics

Journal year: 2013 | Journal volume: vol. 71 | Journal number: no. 2

Article type

scientific article

Publication language

english

Keywords

EN

XXX model
Bethe Ansatz parameters
Galois symmetries

Abstract

EN In this paper the field generated by the Bethe parameters related to the XXX model for the Heisenberg pentagon is considered. For the interior of the Brillouin zone, the Galois group of the Bethe number field over the rationals is determined. This Galois group is recognized as the group of arithmetic symmetries of the Bethe parameters.

Pages (from - to)

205 - 215

DOI

10.1016/S0034-4877(13)60030-0

URL

https://www.sciencedirect.com/science/article/pii/S0034487713600300?via%3Dihub

Ministry points / journal

20

Impact Factor

1,042

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