G(4)-flux, chiral matter and singularity resolution in F-theory compactifications
文献类型:期刊论文
作者 | Krause, S ; Mayrhofer, C ; Weigand, T |
刊名 | NUCLEAR PHYSICS B
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出版日期 | 2012 |
卷号 | 858期号:1页码:1-47 |
关键词 | VACUA MANIFOLDS GEOMETRY DUALITY GUTS |
ISSN号 | 0550-3213 |
通讯作者 | Weigand, T (reprint author), Univ Heidelberg, Inst Theoret Phys, Philosophenweg 19, D-69120 Heidelberg, Germany. |
英文摘要 | 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. |
学科主题 | Physics |
收录类别 | SCI |
资助信息 | Klaus-Tschira-Stiftung; Transregio TR33 "The Dark Universe" |
原文出处 | http://dx.doi.org/10.1016/j.nuclphysb.2011.12.013 |
语种 | 英语 |
WOS记录号 | WOS:000300534400001 |
公开日期 | 2014-04-25 |
源URL | [http://ir.itp.ac.cn/handle/311006/15112] ![]() |
专题 | 理论物理研究所_理论物理所1978-2010年知识产出 |
推荐引用方式 GB/T 7714 | Krause, S,Mayrhofer, C,Weigand, T. 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.(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. |
入库方式: OAI收割
来源:理论物理研究所
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