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Separated variables and wave functions for rational gl(N) spin chains in the companion twist frame
KTH, Centres, Nordic Institute for Theoretical Physics NORDITA. Trinity Coll Dublin, Sch Math, Dublin 2, Ireland.;Trinity Coll Dublin, Hamilton Math Inst, Dublin 2, Ireland..
KTH, Centres, Nordic Institute for Theoretical Physics NORDITA. Trinity Coll Dublin, Sch Math, Dublin 2, Ireland.;Trinity Coll Dublin, Hamilton Math Inst, Dublin 2, Ireland.;Uppsala Univ, Dept Phys & Astron, POB 516, SE-75120 Uppsala, Sweden..
2019 (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
AMER INST PHYSICS , 2019. Vol. 60, no 3, article id 032701
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Physical Sciences
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URN: urn:nbn:se:kth:diva-249822DOI: 10.1063/1.5085387ISI: 000462914000019Scopus ID: 2-s2.0-85063530843OAI: oai:DiVA.org:kth-249822DiVA, id: diva2:1306117
Note

QC 20190423

Available from: 2019-04-23 Created: 2019-04-23 Last updated: 2019-04-23Bibliographically approved

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