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2011-09-27Buch DOI: 10.18452/2825
Baxter Q-Operators and Representations of Yangians
dc.contributor.authorBazhanov, Vladimir V.
dc.contributor.authorFrassek, Rouven
dc.contributor.authorLukowski, Tomasz
dc.contributor.authorMeneghelli, Carlo
dc.contributor.authorStaudacher, Matthias
dc.date.accessioned2017-06-15T18:25:31Z
dc.date.available2017-06-15T18:25:31Z
dc.date.created2011-09-27
dc.date.issued2011-09-27
dc.identifier.issn0863-0976
dc.identifier.urihttp://edoc.hu-berlin.de/18452/3477
dc.description.abstractWe develop a new approach to Baxter Q-operators by relating them to the theory of Yangians, which are the simplest examples for quantum groups. Here we open up a new chapter in this theory and study certain degenerate solutions of the Yang-Baxter equation connected with harmonic oscillator algebras. These infinite-state solutions of the Yang-Baxter equation serve as elementary, "partonic" building blocks for other solutions via the standard fusion procedure. As a first example of the method we consider sl(n) compact spin chains and derive the full hierarchy of operatorial functional equations for all related commuting transfer matrices and Q-operators. This leads to a systematic and transparent solution of these chains, where the nested Bethe equations are derived in an entirely algebraic fashion, without any reference to the traditional Bethe ansatz techniques.eng
dc.language.isoeng
dc.publisherHumboldt-Universität zu Berlin, Mathematisch-Naturwissenschaftliche Fakultät II, Institut für Mathematik
dc.subject.ddc510 Mathematik
dc.titleBaxter Q-Operators and Representations of Yangians
dc.typebook
dc.identifier.urnurn:nbn:de:kobv:11-100193411
dc.identifier.doihttp://dx.doi.org/10.18452/2825
local.edoc.container-titlePreprints aus dem Institut für Mathematik
local.edoc.pages27
local.edoc.type-nameBuch
local.edoc.container-typeseries
local.edoc.container-type-nameSchriftenreihe
local.edoc.container-volume2010
local.edoc.container-issue9
local.edoc.container-year2010
local.edoc.container-erstkatid2075199-0

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