Bethe roots and refined enumeration of alternating-sign matrices

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dc.creatorRazumov, A. V.
dc.creatorStroganov, Yu. G.
dc.date2006-05-01
dc.date2006-05-12
dc.date.accessioned2026-07-07T07:13:42Z
dc.date.available2026-07-07T07:13:42Z
dc.descriptionThe properties of the most probable ground state candidate for the XXZ spin chain with the anisotropy parameter equal to -1/2 and an odd number of sites is considered. Some linear combinations of the components of the considered state, divided by the maximal component, coincide with the elementary symmetric polynomials in the corresponding Bethe roots. It is proved that those polynomials are equal to the numbers providing the refined enumeration of the alternating-sign matrices of order M+1 divided by the total number of the alternating-sign matrices of order M, for the chain of length 2M+1.
dc.descriptionLaTeX 2e, 12 pages, minor corrections, references added
dc.identifierhttps://arxiv.org/abs/math-ph/0605004
dc.identifierhttp://arxiv.org/abs/math-ph/0605004
dc.identifierJ. Stat. Mech. (2006) P07004
dc.identifierdoi:10.1088/1742-5468/2006/07/P07004
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/112567
dc.subjectMathematical Physics
dc.subjectOther Condensed Matter
dc.subjectExactly Solvable and Integrable Systems
dc.titleBethe roots and refined enumeration of alternating-sign matrices
dc.typetext

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