ITP OpenIR  > 理论物理所2012年知识产出
G(4)-flux, chiral matter and singularity resolution in F-theory compactifications
Krause, S; Mayrhofer, C; Weigand, T; Weigand, T (reprint author), Univ Heidelberg, Inst Theoret Phys, Philosophenweg 19, D-69120 Heidelberg, Germany.
2012
发表期刊NUCLEAR PHYSICS B
ISSN0550-3213
卷号858期号:1页码:1-47
摘要We construct a set of chirality inducing G(4)-fluxes in global F-theory compactifications on Calabi-Yau four-folds. Special emphasis is put on models with gauge group SU(5) x U(1)(X) relevant in the context of F-theory GUT model building, which are described in terms of a U(1)-restricted Tate model. A G(4)-flux arises in a manner completely analogous to the U(1)x gauge potential. We describe in detail the resolution by blow-up of the various singularities responsible for the U(1)(X) factor and the standard SU(5) gauge group and match the result with techniques applied in the context of tonic geometry. This provides an explicit identification of the structure of the resolved fibre over the matter curves and over the enhancement points relevant for Yukawa couplings. We compute the flux-induced chiral index both of SU(5) charged matter and of SU(5) singlets charged only under U(1)(X) localised on curves which are not contained in the SU(5) locus. We furthermore discuss global consistency conditions such as D3-tadpole cancellation, D-term supersymmetry and Freed-Witten quantisation. The U(1)(X) gauge flux is a global extension of a class of split spectral cover bundles. It constitutes an essential ingredient in the construction of globally defined F-theory compactifications with chiral matter. We exemplify this in a three-generation SU(5) x U(1)(X) model whose flux satisfies all of the above global consistency conditions. We also extend our results to chiral fluxes in models without U(I) restriction. (C) 2011 Elsevier B.V. All rights reserved.
部门归属[Krause, Sven; Mayrhofer, Christoph; Weigand, Timo] Univ Heidelberg, Inst Theoret Phys, D-69120 Heidelberg, Germany; [Weigand, Timo] CAS, Kavli Inst Theoret Phys China, Beijing 100190, Peoples R China
关键词Vacua Manifolds Geometry Duality Guts
学科领域Physics
资助者Klaus-Tschira-Stiftung; Transregio TR33 "The Dark Universe" ; Klaus-Tschira-Stiftung; Transregio TR33 "The Dark Universe" ; Klaus-Tschira-Stiftung; Transregio TR33 "The Dark Universe" ; Klaus-Tschira-Stiftung; Transregio TR33 "The Dark Universe"
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收录类别SCI
语种英语
资助者Klaus-Tschira-Stiftung; Transregio TR33 "The Dark Universe" ; Klaus-Tschira-Stiftung; Transregio TR33 "The Dark Universe" ; Klaus-Tschira-Stiftung; Transregio TR33 "The Dark Universe" ; Klaus-Tschira-Stiftung; Transregio TR33 "The Dark Universe"
WOS记录号WOS:000300534400001
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文献类型期刊论文
条目标识符http://ir.itp.ac.cn/handle/311006/15112
专题理论物理所2012年知识产出
通讯作者Weigand, T (reprint author), Univ Heidelberg, Inst Theoret Phys, Philosophenweg 19, D-69120 Heidelberg, Germany.
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GB/T 7714
Krause, S,Mayrhofer, C,Weigand, T,et al. G(4)-flux, chiral matter and singularity resolution in F-theory compactifications[J]. NUCLEAR PHYSICS B,2012,858(1):1-47.
APA Krause, S,Mayrhofer, C,Weigand, T,&Weigand, T .(2012).G(4)-flux, chiral matter and singularity resolution in F-theory compactifications.NUCLEAR PHYSICS B,858(1),1-47.
MLA Krause, S,et al."G(4)-flux, chiral matter and singularity resolution in F-theory compactifications".NUCLEAR PHYSICS B 858.1(2012):1-47.
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