Massive Abelian gauge symmetries and fluxes in F-theory
Massive Abelian gauge symmetries and fluxes in F-theory
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F 理论中的大规模阿贝尔规范对称性和通量
DOI：
10.1007/jhep12(2011)004
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发表时间：
2011
影响因子：
5.4
通讯作者：
T. Weigand
中科院分区：
文献类型：
--
作者：
Thomas W. Grimm;Max Kerstan;Eran Palti;T. Weigand
在卡拉比-丘四重上压缩的抽象 F 理论通过椭圆纤维化的奇点结构自然地描述了非阿贝尔规范对称性。相比之下，阿贝尔对称性由于其固有的全局性质而更难研究。我们认为，在一般的 F 理论紧化中，存在大量的阿贝尔对称性，例如 D7 膜上 U(N) 规范群的阿贝尔部分的隆起，这是由对偶 M 理论设置的非凯勒分辨率引起的。规范场期望值消失的四维 F 理论真空对应于卡拉比-丘极限。我们建议沿着这些 U(1) 开启的通量被提升为非谐波四形式通量。我们在阿贝尔规范因子存在的情况下，通过 F 理论紧致化得出了有效的四维规范超重力，包括可能的通量对规范、蝌蚪和物质谱的影响。
A bstractF-theory compactified on a Calabi-Yau fourfold naturally describes non- Abelian gauge symmetries through the singularity structure of the elliptic fibration. In contrast Abelian symmetries are more difficult to study because of their inherently global nature. We argue that in general F-theory compactifications there are massive Abelian symmetries, such as the uplift of the Abelian part of the U(N) gauge group on D7-branes, that arise from non-Kähler resolutions of the dual M-theory setup. The four-dimensional F-theory vacuum with vanishing expectation values for the gauge fields corresponds to the Calabi-Yau limit. We propose that fluxes that are turned on along these U(1)s are uplifted to non-harmonic four-form fluxes. We derive the effective four-dimensional gauged su- pergravity resulting from F-theory compactifications in the presence of the Abelian gauge factors including the effects of possible fluxes on the gauging, tadpoles and matter spectrum.
全局 F 理论 GUT 中的阿贝尔规范对称性和质子衰变
影响因子：
5
作者：
T. W. Grimm;T. Weigand
通讯作者：
T. Weigand