Baxter Q-Operators and Representations of Yangians
dc.contributor.author | Bazhanov, Vladimir V. | |
dc.contributor.author | Frassek, Rouven | |
dc.contributor.author | Lukowski, Tomasz | |
dc.contributor.author | Meneghelli, Carlo | |
dc.contributor.author | Staudacher, Matthias | |
dc.date.accessioned | 2017-06-15T18:25:31Z | |
dc.date.available | 2017-06-15T18:25:31Z | |
dc.date.created | 2011-09-27 | |
dc.date.issued | 2011-09-27 | |
dc.identifier.issn | 0863-0976 | |
dc.identifier.uri | http://edoc.hu-berlin.de/18452/3477 | |
dc.description.abstract | We 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.iso | eng | |
dc.publisher | Humboldt-Universität zu Berlin, Mathematisch-Naturwissenschaftliche Fakultät II, Institut für Mathematik | |
dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | |
dc.subject.ddc | 510 Mathematik | |
dc.title | Baxter Q-Operators and Representations of Yangians | |
dc.type | book | |
dc.identifier.urn | urn:nbn:de:kobv:11-100193411 | |
dc.identifier.doi | http://dx.doi.org/10.18452/2825 | |
local.edoc.pages | 27 | |
local.edoc.type-name | Buch | |
local.edoc.container-type | series | |
local.edoc.container-type-name | Schriftenreihe | |
local.edoc.container-year | 2010 | |
dc.identifier.zdb | 2075199-0 | |
bua.series.name | Preprints aus dem Institut für Mathematik | |
bua.series.issuenumber | 2010,9 |