T-branes and geometry
T-branes and geometry
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T 形膜和几何形状
DOI：
10.1007/jhep05(2014)080
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发表时间：
2013
影响因子：
5.4
通讯作者：
S. Katz
中科院分区：
文献类型：
--
作者：
L. Anderson;J. Heckman;S. Katz
B-紧T-膜是相交膜的非交换推广，其中法变形矩阵沿沿着某个子空间是幂零的。在本文中，我们研究了六维F理论真空的开弦数据的几何剩余。我们表明，在一个光滑的卡-丘三倍Xsmth上的对偶M-理论/ IIA紧化，T-膜数据的几何剩余转化为Xsmth的中间雅可比矩阵中的三种形式的潜力值的周期。从光滑的奇异卡-丘，我们展示了如何跟踪这个数据在奇异的极限使用的理论限制混合霍奇结构，这反过来又直接指向一个紧急的Hitchin-like系统耦合到缺陷。我们认为，物理数据的F-理论紧化的奇异三倍涉及指定的几何形状以及剩余的三种形式的潜在的模和通量是本地化的判别式。我们给出了具有杂合的紧F-理论模型中的T-膜的例子，并评论了我们的结果到四维真空的推广。
A bstractT-branes are a non-abelian generalization of intersecting branes in which the matrix of normal deformations is nilpotent along some subspace. In this paper we study the geometric remnant of this open string data for six-dimensional F-theory vacua. We show that in the dual M-theory / IIA compactification on a smooth Calabi-Yau threefold Xsmth, the geometric remnant of T-brane data translates to periods of the three-form potential valued in the intermediate Jacobian of Xsmth. Starting from a smoothing of a singular Calabi-Yau, we show how to track this data in singular limits using the theory of limiting mixed Hodge structures, which in turn directly points to an emergent Hitchin-like system coupled to defects. We argue that the physical data of an F-theory compactification on a singular threefold involves specifying both a geometry as well as the remnant of three-form potential moduli and flux which is localized on the discriminant. We give examples of T-branes in compact F-theory models with heterotic duals, and comment on the extension of our results to four-dimensional vacua.
影响因子：
5.4
作者：
L. Anderson;J. Gray;Yang-Hui He;A. Lukas
通讯作者：
L. Anderson;J. Gray;Yang-Hui He;A. Lukas
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
影响因子：
5.4
作者：
L. Anderson;Yang-Hui He;A. Lukas
通讯作者：
L. Anderson;Yang-Hui He;A. Lukas