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Article: On stringy invariants of GUT vacua
Title  On stringy invariants of GUT vacua 

Authors  
Issue Date  2013 
Publisher  International Press. 
Citation  Communications in Number Theory and Physics, 2013, Volume 7, Number 4, p. 551 – 579 How to Cite? 
Abstract  We investigate aspects of certain stringy invariants of singular elliptic fibrations which arise in engineering Grand Unified Theories in Ftheory. 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 Identifier  http://hdl.handle.net/10722/199126 
DC Field  Value  Language 

dc.contributor.author  Fullwood Jr, JA  en_US 
dc.contributor.author  van Hoeij, MVH  en_US 
dc.date.accessioned  20140722T01:03:54Z   
dc.date.available  20140722T01:03:54Z   
dc.date.issued  2013  en_US 
dc.identifier.citation  Communications in Number Theory and Physics, 2013, Volume 7, Number 4, p. 551 – 579  en_US 
dc.identifier.uri  http://hdl.handle.net/10722/199126   
dc.description.abstract  We investigate aspects of certain stringy invariants of singular elliptic fibrations which arise in engineering Grand Unified Theories in Ftheory. 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.language  eng  en_US 
dc.publisher  International Press.  en_US 
dc.relation.ispartof  Communications in Number Theory and Physics  en_US 
dc.rights  Communications in Number Theory and Physics. Copyright © International Press.  en_US 
dc.title  On stringy invariants of GUT vacua  en_US 
dc.type  Article  en_US 
dc.identifier.email  Fullwood Jr, JA: fullwood@hku.hk  en_US 
dc.identifier.doi  10.4310/CNTP.2013.v7.n4.a1  en_US 
dc.identifier.hkuros  231718  en_US 
dc.identifier.hkuros  231708   
dc.identifier.volume  Volume 7, Number 4  en_US 
dc.identifier.spage  551 – 579  en_US 
dc.identifier.epage  551 – 579  en_US 