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New construction of eigenstates and separation of variables for SU(N) quantum spin chains
KTH, Centres, Nordic Institute for Theoretical Physics NORDITA.
2017 (English)In: Journal of High Energy Physics (JHEP), ISSN 1126-6708, E-ISSN 1029-8479, no 9, article id 111Article in journal (Refereed) Published
Abstract [en]

We conjecture a new way to construct eigenstates of integrable XXX quantum spin chains with SU(N) symmetry. The states are built by repeatedly acting on the vacuum with a single operator B-good(u) evaluated at the Bethe roots. Our proposal serves as a compact alternative to the usual nested algebraic Bethe ansatz. Furthermore, the roots of this operator give the separated variables of the model, explicitly generalizing Sklyanin's approach to the SU(N) case. We present many tests of the conjecture and prove it in several special cases. We focus on rational spin chains with fundamental representation at each site, but expect many of the results to be valid more generally.

Place, publisher, year, edition, pages
SPRINGER , 2017. no 9, article id 111
Keyword [en]
Bethe Ansatz, Lattice Integrable Models
National Category
Physical Sciences
Identifiers
URN: urn:nbn:se:kth:diva-215820DOI: 10.1007/JHEP09(2017)111ISI: 000411721300002Scopus ID: 2-s2.0-85030104045OAI: oai:DiVA.org:kth-215820DiVA, id: diva2:1149905
Note

QC 20171017

Available from: 2017-10-17 Created: 2017-10-17 Last updated: 2017-10-17Bibliographically approved

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