Magnetic Pentagonal Ring - Galois Extensions and Crystallography |
| M. Labuza and T. Lulekb,c
aDepartment of Theoretical Physics, Faculty of Mathematics and Natural Sciences, University of Rzeszów;, S. Pigonia 1, 35-310 Rzeszów, Poland bFaculty of Physics, Adam Mickiewicz University, Umultowska 85, 61-614 Poznań, Poland cDepartment of Experimental Physics, Faculty of Mathematics and Natural Sciences, University of Rzeszów, S. Pigonia 1, 35-310 Rzeszów, Poland |
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| The Galois symmetry of exact Bethe Ansatz eigenstates for magnetic pentagonal ring is shown to bear a close analogy to some crystallographic constructions. Automorphisms of number field extensions associated with these eigenstates prove to be related to choices of the Bravais cells in the finite crystal lattice ℤ2×ℤ2, responsible for extension of the cyclotomic field by the Bethe parameters. |
DOI: 10.12693/APhysPolA.132.97 PACS numbers: 75.10.Jm, 03.65.Fd, 03.67.Lx, 02.10.Ud, 02.10.De |