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Article: On stringy invariants of GUT vacua

TitleOn stringy invariants of GUT vacua
Authors
Issue Date2013
PublisherInternational Press.
Citation
Communications in Number Theory and Physics, 2013, Volume 7, Number 4, p. 551 – 579 How to Cite?
AbstractWe investigate aspects of certain stringy invariants of singular elliptic fibrations which arise in engineering Grand Unified Theories in F-theory. In particular, we exploit the small resolutions of the total space of these fibrations provided recently in the physics literature to compute “stringy characteristic classes”, and find that numerical invariants obtained by integrating such characteristic classes are predetermined by the topology of the base of the elliptic fibration. Moreover, we derive a simple (dimension independent) formula for pushing forward powers of the exceptional divisor of a blowup, which one may use to reduce any integral (in the sense of Chow cohomology) on a small resolution of a singular elliptic fibration to an integral on the base. We conclude with a remark on the cohomology of small resolutions of GUT vacua, where we conjecture that certain simple formulas for their Hodge numbers may be given solely in terms of the first Chern class and Hodge numbers of the base.
Persistent Identifierhttp://hdl.handle.net/10722/199126

 

DC FieldValueLanguage
dc.contributor.authorFullwood Jr, JAen_US
dc.contributor.authorvan Hoeij, MVHen_US
dc.date.accessioned2014-07-22T01:03:54Z-
dc.date.available2014-07-22T01:03:54Z-
dc.date.issued2013en_US
dc.identifier.citationCommunications in Number Theory and Physics, 2013, Volume 7, Number 4, p. 551 – 579en_US
dc.identifier.urihttp://hdl.handle.net/10722/199126-
dc.description.abstractWe investigate aspects of certain stringy invariants of singular elliptic fibrations which arise in engineering Grand Unified Theories in F-theory. In particular, we exploit the small resolutions of the total space of these fibrations provided recently in the physics literature to compute “stringy characteristic classes”, and find that numerical invariants obtained by integrating such characteristic classes are predetermined by the topology of the base of the elliptic fibration. Moreover, we derive a simple (dimension independent) formula for pushing forward powers of the exceptional divisor of a blowup, which one may use to reduce any integral (in the sense of Chow cohomology) on a small resolution of a singular elliptic fibration to an integral on the base. We conclude with a remark on the cohomology of small resolutions of GUT vacua, where we conjecture that certain simple formulas for their Hodge numbers may be given solely in terms of the first Chern class and Hodge numbers of the base.en_US
dc.languageengen_US
dc.publisherInternational Press.en_US
dc.relation.ispartofCommunications in Number Theory and Physicsen_US
dc.rightsCommunications in Number Theory and Physics. Copyright © International Press.en_US
dc.titleOn stringy invariants of GUT vacuaen_US
dc.typeArticleen_US
dc.identifier.emailFullwood Jr, JA: fullwood@hku.hken_US
dc.identifier.doi10.4310/CNTP.2013.v7.n4.a1en_US
dc.identifier.hkuros231718en_US
dc.identifier.hkuros231708-
dc.identifier.volumeVolume 7, Number 4en_US
dc.identifier.spage551 – 579en_US
dc.identifier.epage551 – 579en_US

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