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Article: D5 elliptic fibrations: NonKodaira fibers and new orientifold limits of Ftheory
Title  D5 elliptic fibrations: NonKodaira fibers and new orientifold limits of Ftheory 

Authors  
Issue Date  2015 
Publisher  International Press. The Journal's web site is located at http://www.intlpress.com/CNTP 
Citation  Communications in Number Theory and Physics, 2015, v. 9 n. 3, p. 583642 How to Cite? 
Abstract  A D5 elliptic fibration is a fibration whose generic fiber is mod eled by the complete intersection of two quadric surfaces in P3. They provide simple examples of elliptic fibrations admitting a rich spectrum of singular fibers (not all on the list of Kodaira) without introducing singularities in the total space of the fibration, thus avoiding a discussion of their resolutions. We study systematically the fiber geometry of such fibrations using Segre symbols and com pute several topological invariants. We present for the first time Sen’s (orientifold) limits for D5 elliptic fibrations. These orientifolds limits describe different weak coupling limits of Ftheory to type IIB string theory giving a sys tem of three braneimagebrane pairs in presence of a Z2 orien tifold. The orientifold theory is mathematically described by the double cover the base of the elliptic fibration. Such orientifold the ories are characterized by a transition from a semistable singular fiber to an unstable one. In this paper, we describe the first example of a weak coupling limit in Ftheory characterized by a transition to a nonKodaira (and nonADE) fiber. Inspired by string dualities, we obtain nontrivial topological relations connecting the elliptic fibration and the different loci that appear in its weak coupling limit. Mathematically, these are very surprising relations which re late the total Chern class of the D5 elliptic fibration and those of different loci that naturally appear in the weak coupling limit. We work over bases of arbitrary dimension and our results are inde pendent of any CalabiYau hypothesis. 
Persistent Identifier  http://hdl.handle.net/10722/218755 
DC Field  Value  Language 

dc.contributor.author  Fullwood Jr, JA   
dc.date.accessioned  20150918T06:52:31Z   
dc.date.available  20150918T06:52:31Z   
dc.date.issued  2015   
dc.identifier.citation  Communications in Number Theory and Physics, 2015, v. 9 n. 3, p. 583642   
dc.identifier.uri  http://hdl.handle.net/10722/218755   
dc.description.abstract  A D5 elliptic fibration is a fibration whose generic fiber is mod eled by the complete intersection of two quadric surfaces in P3. They provide simple examples of elliptic fibrations admitting a rich spectrum of singular fibers (not all on the list of Kodaira) without introducing singularities in the total space of the fibration, thus avoiding a discussion of their resolutions. We study systematically the fiber geometry of such fibrations using Segre symbols and com pute several topological invariants. We present for the first time Sen’s (orientifold) limits for D5 elliptic fibrations. These orientifolds limits describe different weak coupling limits of Ftheory to type IIB string theory giving a sys tem of three braneimagebrane pairs in presence of a Z2 orien tifold. The orientifold theory is mathematically described by the double cover the base of the elliptic fibration. Such orientifold the ories are characterized by a transition from a semistable singular fiber to an unstable one. In this paper, we describe the first example of a weak coupling limit in Ftheory characterized by a transition to a nonKodaira (and nonADE) fiber. Inspired by string dualities, we obtain nontrivial topological relations connecting the elliptic fibration and the different loci that appear in its weak coupling limit. Mathematically, these are very surprising relations which re late the total Chern class of the D5 elliptic fibration and those of different loci that naturally appear in the weak coupling limit. We work over bases of arbitrary dimension and our results are inde pendent of any CalabiYau hypothesis.   
dc.language  eng   
dc.publisher  International Press. The Journal's web site is located at http://www.intlpress.com/CNTP   
dc.relation.ispartof  Communications in Number Theory and Physics   
dc.rights  Communications in Number Theory and Physics. Copyright © International Press.   
dc.title  D5 elliptic fibrations: NonKodaira fibers and new orientifold limits of Ftheory   
dc.type  Article   
dc.identifier.email  Fullwood Jr, JA: fullwood@hku.hk   
dc.identifier.doi  10.4310/CNTP.2015.v9.n3.a4   
dc.identifier.hkuros  253469   
dc.identifier.volume  9   
dc.identifier.issue  3   
dc.identifier.spage  583   
dc.identifier.epage  642   
dc.publisher.place  USA   