Intrinsic non-commutativity of closed string theory

dc.contributor.authorFreidel, Laurenten
dc.contributor.authorLeigh, Robert G.en
dc.contributor.authorMinic, Djordjeen
dc.contributor.departmentPhysicsen
dc.date.accessioned2019-02-28T18:45:08Zen
dc.date.available2019-02-28T18:45:08Zen
dc.date.issued2017-09-14en
dc.description.abstractWe show that the proper interpretation of the cocycle operators appearing in the physical vertex operators of compactified strings is that the closed string target is non-commutative. We track down the appearance of this non-commutativity to the Polyakov action of the flat closed string in the presence of translational monodromies (i.e., windings). In view of the unexpected nature of this result, we present detailed calculations from a variety of points of view, including a careful understanding of the consequences of mutual locality in the vertex operator algebra, as well as a detailed analysis of the symplectic structure of the Polyakov string. We also underscore why this non-commutativity was not emphasized previously in the existing literature. This non-commutativity can be thought of as a central extension of the zero-mode operator algebra, an effect set by the string length scale-it is present even in trivial backgrounds. Clearly, this result indicates that the alpha' -> 0 limit is more subtle than usually assumed.en
dc.description.notesRGL and DM thank Perimeter Institute for hospitality. LF, RGL and DM thank the Banff Center for providing an inspiring environment for work and the Julian Schwinger Foundation for support. RGL is supported in part by the U.S. Department of Energy contract DE-SC0015655 and DM by the U.S. Department of Energy under contract DE-FG02-13ER41917. Research at Perimeter Institute for Theoretical Physics is supported in part by the Government of Canada through NSERC and by the Province of Ontario through MRI.en
dc.description.sponsorshipJulian Schwinger Foundationen
dc.description.sponsorshipU.S. Department of Energy [DE-SC0015655, DE-FG02-13ER41917]en
dc.description.sponsorshipGovernment of Canada through NSERCen
dc.description.sponsorshipProvince of Ontario through MRIen
dc.format.mimetypeapplication/pdfen
dc.identifier.doihttps://doi.org/10.1007/JHEP09(2017)060en
dc.identifier.issn1029-8479en
dc.identifier.issue9en
dc.identifier.other60en
dc.identifier.urihttp://hdl.handle.net/10919/88029en
dc.language.isoen_USen
dc.publisherSpringeren
dc.rightsCreative Commons Attribution 4.0 Internationalen
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/en
dc.subjectConformal Field Theoryen
dc.subjectNon-Commutative Geometryen
dc.subjectString Dualityen
dc.titleIntrinsic non-commutativity of closed string theoryen
dc.title.serialJournal of High Energy Physicsen
dc.typeArticle - Refereeden
dc.type.dcmitypeTexten

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