The SU(2) Wess-Zumino-Witten spin chain sigma model.

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dc.contributor.authorHernández Redondo, Rafael
dc.contributor.authorMiguel Nieto, Juan
dc.contributor.authorRuiz Gil, Roberto
dc.date.accessioned2023-06-17T13:27:40Z
dc.date.available2023-06-17T13:27:40Z
dc.date.issued2019-06-18
dc.description© 2019 Springer. J. M. Nieto and R. Ruiz would like to thank the organizers of the program YRISW 2019: A modern primer for 2D CFT at the Erwin Schrodinger Institute in Vienna for support while this work was being completed. The work of R. H. is supported by grant FPA2014-54154-P and by BSCH-UCM through grant GR3/14-A 910770.
dc.description.abstractClassical strings propagating in AdS(3) x S-3 x T-4 supported with Neveu-Schwarz-Neveu-Schwarz flux are described by a Wess-Zumino-Witten model. In this note, we study the emergence of their semiclassical SU(2) spectrally flowed sectors as the Landau-Lifshitz limit of the underlying quantum spin chain. We consider the propagator in the coherent state picture, and find that the time interval is discretized proportionally to the lattice spacing. In the Landau-Lifshitz limit, where both time and space become continuous, we derive a path integral representation of the propagator for each spectrally flowed sector. We prove that the arbitrariness of the global phase of coherent states is mapped to the gauge freedom of the B-field in the classical action. We show that higher order corrections in the Landau-Lifshitz limit are suppressed by inverse powers of the 't Hooft coupling.
dc.description.departmentDepto. de Física Teórica
dc.description.facultyFac. de Ciencias Físicas
dc.description.refereedTRUE
dc.description.sponsorshipMinisterio de Economía y Competitividad (MINECO)
dc.description.sponsorshipUniversidad Complutense de Madrid/Banco de Santander
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/56935
dc.identifier.doi10.1007/JHEP06(2019)080
dc.identifier.issn1029-8479
dc.identifier.officialurlhttp://dx.doi.org/10.1007/JHEP06(2019)080
dc.identifier.relatedurlhttps://link.springer.com/
dc.identifier.urihttps://hdl.handle.net/20.500.14352/13540
dc.issue.number6
dc.journal.titleJournal of high energy physics
dc.language.isoeng
dc.publisherSpringer
dc.relation.projectIDFPA2014-54154-P
dc.relation.projectIDGR3/14-A 910770
dc.rightsAtribución 3.0 España
dc.rights.accessRightsopen access
dc.rights.urihttps://creativecommons.org/licenses/by/3.0/es/
dc.subject.cdu53
dc.subject.keywordS-3 X T-4
dc.subject.keywordString Theory
dc.subject.keywordADS(3)
dc.subject.ucmFísica (Física)
dc.subject.unesco22 Física
dc.titleThe SU(2) Wess-Zumino-Witten spin chain sigma model.
dc.typejournal article
dspace.entity.typePublication
relation.isAuthorOfPublicationc904cec6-4e4a-45e1-a8a5-027c9abc2127
relation.isAuthorOfPublication50ad714f-fec4-4993-b6ce-515977265335
relation.isAuthorOfPublication.latestForDiscoveryc904cec6-4e4a-45e1-a8a5-027c9abc2127
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