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dc.contributor.authorTaylor, Washington
dc.date.accessioned2019-06-19T15:35:14Z
dc.date.available2019-06-19T15:35:14Z
dc.date.issued2018
dc.date.submitted2010-09
dc.identifier.issn1089-3288
dc.identifier.urihttps://hdl.handle.net/1721.1/121358
dc.description.abstractQuantum anomalies, determined by the Atiyah-Singer in- dex theorem, place strong constraints on the space of quantu m gravity theories in six dimensions with minimal supersymmetry. The conjecture of “string universality” states that all such theories whic h do not have anomalies or other quantum inconsistencies are realized in string theory. This paper describes this conjecture and recent work by Kuma r, Mor- rison, and the author towards developing a global picture of the space of consistent 6D supergravities and their realization in st ring theory via F-theory constructions. We focus on the discrete data for ea ch model associated with the gauge symmetry group and the representa tion of this group on matter fields. The 6D anomaly structure determi nes an integral lattice for each gravity theory, which is related t o the geometry of an elliptically fibered Calabi-Yau three-fold in an F-the ory construc- tion. Possible exceptions to the string universality conje cture suggest novel constraints on low-energy gravity theories which may be identified from the structure of F-theory geometryen_US
dc.description.sponsorshipUnited States. Department of Energy (contract #DE-FC02-94ER40818)en_US
dc.language.isoen
dc.publisherInternational Press of Bostonen_US
dc.relation.isversionof10.4310/SDG.2010.V15.N1.A10en_US
dc.rightsCreative Commons Attribution-Noncommercial-Share Alikeen_US
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/4.0/en_US
dc.sourcearXiven_US
dc.titleAnomaly constraints and string/F-theory geometry in 6D quantum gravityen_US
dc.typeArticleen_US
dc.identifier.citationTaylor, Washington. "Anomaly constraints and string/F-theory geometry in 6D quantum gravity." AMS/IP studies in advanced mathematics, Sept. 2010, 22 pp.en_US
dc.contributor.departmentMassachusetts Institute of Technology. Department of Physicsen_US
dc.relation.journalAMS/IP studies in advanced mathematicsen_US
dc.eprint.versionAuthor's final manuscripten_US
dc.type.urihttp://purl.org/eprint/type/JournalArticleen_US
eprint.statushttp://purl.org/eprint/status/PeerRevieweden_US
dc.date.updated2019-06-19T11:30:16Z
dspace.date.submission2019-06-19T11:30:17Z
mit.journal.volume2010en_US


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