The spectrum of quantum-group-invariant transfer matrices

Rafael Nepomechie, Ana L. Retore

Research output: Contribution to journalArticle

Abstract

Integrable open quantum spin-chain transfer matrices constructed from trigonometric R-matrices associated to affine Lie algebras gˆ, and from certain K-matrices (reflection matrices) depending on a discrete parameter p, were recently considered in arXiv:1802.04864 and arXiv:1805.10144. It was shown there that these transfer matrices have quantum group symmetry corresponding to removing the pth node from the gˆ Dynkin diagram. Here we determine the spectrum of these transfer matrices by using analytical Bethe ansatz, and we determine the dependence of the corresponding Bethe equations on p. We propose formulas for the Dynkin labels of the Bethe states in terms of the numbers of Bethe roots of each type. We also briefly study how duality transformations are implemented on the Bethe ansatz solutions.

Original languageEnglish (US)
Pages (from-to)266-297
Number of pages32
JournalNuclear Physics B
Volume938
DOIs
StatePublished - Jan 1 2019

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algebra
diagrams
symmetry

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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The spectrum of quantum-group-invariant transfer matrices. / Nepomechie, Rafael; Retore, Ana L.

In: Nuclear Physics B, Vol. 938, 01.01.2019, p. 266-297.

Research output: Contribution to journalArticle

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