F-theory fluxes, chirality and Chern-Simons theories
F-theory fluxes, chirality and Chern-Simons theories
复制标题
F 理论通量、手性和 Chern-Simons 理论
DOI：
10.1007/jhep03(2012)027
复制
发表时间：
2011
影响因子：
5.4
通讯作者：
Hirotaka Hayashi
中科院分区：
文献类型：
--
作者：
Thomas W. Grimm;Hirotaka Hayashi
摘要我们利用对偶M理论描述，研究了椭圆纤维Calabi-Yau四重体上四维F理论紧化的带电手性物质谱。完全解析的 Calabi-Yau 四重体上的 M 理论四形式通量可以诱导手性光谱。在 M 理论中，该通量在规范理论的库仑分支中产生三维 Chern-Simons 耦合。在附加圆上的 F 理论紧致化中，这些耦合仅通过带电费米子在环中运行的单环校正来生成。这种识别使我们能够推断出四维有效理论的手性物质场的净数量。手性公式可以通过使用解析的四倍有效曲线的交集数和锥体来评估。我们认为，对有效曲线的研究还可以跟踪每个联合维度的解析过程。为了编写简单的手性公式，我们建议使用解析过程中涉及的有效曲线来确定物质表面，并与基础中的第二维群论联系起来。我们通过 SU(5) 和 SU(5) × U(1) 规范组的示例来举例说明我们的方法。
A bstractWe study the charged chiral matter spectrum of four-dimensional F-theory compactifications on elliptically fibered Calabi-Yau fourfolds by using the dual M-theory description. A chiral spectrum can be induced by M-theory four-form flux on the fully resolved Calabi-Yau fourfold. In M-theory this flux yields three-dimensional Chern-Simons couplings in the Coulomb branch of the gauge theory. In the F-theory compactification on an additional circle these couplings are only generated by one-loop corrections with charged fermions running in the loop. This identification allows us to infer the net number of chiral matter fields of the four-dimensional effective theory. The chirality formulas can be evaluated by using the intersection numbers and the cones of effective curves of the resolved fourfolds. We argue that a study of the effective curves also allows to follow the resolution process at each co-dimension. To write simple chirality formulas we suggest to use the effective curves involved in the resolution process to determine the matter surfaces and to connect with the group theory at co-dimension two in the base. We exemplify our methods on examples with SU(5) and SU(5) × U(1) gauge group.
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
F 理论紧致化中的 G(4)-通量、手性物质和奇点解析
DOI：
10.1016/j.nuclphysb.2011.12.013
发表时间：
2012
期刊：
Nuclear Physics
影响因子：
--
作者：
Krause;Mayrhofer;Weigand
通讯作者：
Weigand