Article ID Journal Published Year Pages File Type
10148071 Physica B: Condensed Matter 2018 23 Pages PDF
Abstract
An arithmetic qubit, separated from the state space of the heptagonal magnetic ring within the XXX model in the three-magnon sector at the center of the Brillouin zone, is shown to have a Galois symmetry, stemming from a polynomial f of degree 6 indecomposable over the prime field Q, with admissible quanta of phase as its roots. The Galois group is shown to be isomorphic with the dihedral group D6, and the main Galois theorem for this case is demonstrated in detail, including generators for each subfield, the corresponding minimal polynomials, as well as intepretation in terms of rigged string configurations. The splitting number field for the polynomial f proves to be the arena for exact solutions of Bethe Ansatz equations for this case.
Related Topics
Physical Sciences and Engineering Physics and Astronomy Condensed Matter Physics
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