Duality group actions on fermions

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dc.contributor.authorPantev, Tonyen
dc.contributor.authorSharpe, Eric R.en
dc.contributor.departmentPhysicsen
dc.date.accessioned2019-03-01T20:17:51Zen
dc.date.available2019-03-01T20:17:51Zen
dc.date.issued2016-11-29en
dc.description.abstractIn this short paper we look at the action of T-duality and string duality groups on fermions, in maximally-supersymmetric theories and related theories. Briefly, we argue that typical duality groups such as SL( 2, Z) have sign ambiguities in their actions on fermions, and propose that pertinent duality groups be extended by Z 2, to groups such as the metaplectic group. Specifically, we look at duality groups arising from mapping class groups of tori in M theory compactifications, T-duality, ten-dimensional type IIB S-duality, and ( briefly) four-dimensional N = 4 super Yang-Mills, and in each case, propose that the full duality group is a nontrivial Z 2 extension of the duality group acting on bosonic degrees of freedom, to more accurately describe possible actions on fermions. We also walk through U-duality groups for toroidal compactifications to nine, eight, and seven dimensions, which enables us to perform cross-consistency tests of these proposals.en
dc.description.notesWe would like to thank L. Anderson, P. Aspinwall, D. Auroux, J. Distler, J. Francis, J. Gray, I. Melnikov, D. Morrison, B. Pioline, S. Sethi, P. West, and E. Witten for useful conversations. This work was performed in part at the Aspen Center for Physics, which is supported by National Science Foundation grant PHY-1066293. T.P. was partially supported by NSF grants DMS-1302242 and DMS-1601438. E.S. was partially supported by NSF grant PHY-1417410.en
dc.description.sponsorshipNational Science Foundation [PHY-1066293]en
dc.description.sponsorshipNSF [DMS-1302242, DMS-1601438, PHY-1417410]en
dc.format.mimetypeapplication/pdfen
dc.identifier.doihttps://doi.org/10.1007/JHEP11(2016)171en
dc.identifier.issn1029-8479en
dc.identifier.issue11en
dc.identifier.other171en
dc.identifier.urihttp://hdl.handle.net/10919/88046en
dc.language.isoen_USen
dc.publisherSpringeren
dc.rightsCreative Commons Attribution 4.0 Internationalen
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/en
dc.subjectString Dualityen
dc.subjectExtended Supersymmetryen
dc.titleDuality group actions on fermionsen
dc.title.serialJournal of High Energy Physicsen
dc.typeArticle - Refereeden
dc.type.dcmitypeTexten

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