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Separated variables and wave functions for rational gl(N) spin chains in the companion twist frame
Stockholm University, Nordic Institute for Theoretical Physics (Nordita). Trinity College Dublin, Ireland.
Stockholm University, Nordic Institute for Theoretical Physics (Nordita). Trinity College Dublin, Ireland; Uppsala University, Sweden.
Number of Authors: 22019 (English)In: Journal of Mathematical Physics, ISSN 0022-2488, E-ISSN 1089-7658, Vol. 60, no 3, article id 032701Article in journal (Refereed) Published
Abstract [en]

We propose a basis for rational gl(N) spin chains in an arbitrary rectangular representation (S-A) that factorises the Bethe vectors into products of Slater determinants in Baxter Q-functions. This basis is constructed by repeated action of fused transfer matrices on a suitable reference state. We prove that it diagonalises the so-called B-operator; hence, the operatorial roots of the latter are the separated variables. The spectrum of the separated variables is also explicitly computed, and it turns out to be labeled by Gelfand-Tsetlin patterns. Our approach utilises a special choice of the spin chain twist which substantially simplifies derivations.

Place, publisher, year, edition, pages
2019. Vol. 60, no 3, article id 032701
National Category
Mathematics
Identifiers
URN: urn:nbn:se:su:diva-168398DOI: 10.1063/1.5085387ISI: 000462914000019OAI: oai:DiVA.org:su-168398DiVA, id: diva2:1314242
Available from: 2019-05-08 Created: 2019-05-08 Last updated: 2019-05-08Bibliographically approved

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