Show simple item record

2011-09-27Buch DOI: 10.18452/2837
Review of AdS/CFT Integrability, Chapter III.1
dc.contributor.authorStaudacher, Matthias
dc.date.accessioned2017-06-15T18:27:52Z
dc.date.available2017-06-15T18:27:52Z
dc.date.created2011-09-27
dc.date.issued2011-09-27
dc.identifier.issn0863-0976
dc.identifier.urihttp://edoc.hu-berlin.de/18452/3489
dc.description.abstractThe one-dimensional Heisenberg XXX spin chain appears in a special limit of the AdS/CFT integrable system. We review various ways of proving its integrability, and discuss the associated methods of solution. In particular, we outline the coordinate and the algebraic Bethe ansatz, giving reference to literature suitable for learning these techniques. Finally we speculate which of the methods might lift to the exact solution of the AdS/CFT system, and sketch a promising method for constructing the Baxter Q-operator of the XXX chain. It allows to find the spectrum of the model using certain algebraic techniques, while entirely avoiding Bethe's ansatz.eng
dc.language.isoeng
dc.publisherHumboldt-Universität zu Berlin, Mathematisch-Naturwissenschaftliche Fakultät II, Institut für Mathematik
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/
dc.subjectBethe ansatzeng
dc.subjectR-matrixeng
dc.subjectQ-operatoreng
dc.subject.ddc510 Mathematik
dc.titleReview of AdS/CFT Integrability, Chapter III.1
dc.typebook
dc.subtitleBethe Ansätze and the R-Matrix Formalism
dc.identifier.urnurn:nbn:de:kobv:11-100193534
dc.identifier.doihttp://dx.doi.org/10.18452/2837
local.edoc.container-titlePreprints aus dem Institut für Mathematik
local.edoc.pages17
local.edoc.type-nameBuch
local.edoc.container-typeseries
local.edoc.container-type-nameSchriftenreihe
local.edoc.container-volume2010
local.edoc.container-issue20
local.edoc.container-year2010
local.edoc.container-erstkatid2075199-0

Show simple item record