T-branes at the limits of geometry

T-branes at the limits of geometry
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T 形膜的几何极限

DOI:
10.1007/jhep10(2017)058
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发表时间:
2017
影响因子:
5.4
通讯作者:
Schaposnik, Laura P.
Schaposnik, Laura P.
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Anderson, Lara B.;Heckman, Jonathan J.;Katz, Sheldon;Schaposnik, Laura P.

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6D f -理论紧化的奇异极限通常由t膜捕获,即7膜相交的非阿贝尔构型与幂零法向变形矩阵。这种7膜的长距离近似是一个类似希钦的系统,在这个系统中,简单而不规则的极点出现在几何图形的标记点上。当多个物质场局域于几何中的同一点时,相关的希格斯场会表现出不规则的行为,即极性大于1的数量级。这为设计野生希格斯束提供了一种几何机制。异常抵消和重力耦合等物理约束也限制了这些磁极的顺序。使用这个几何公式,我们将看似不同的野Hitchin系统统一在一个框架中,其中极点的阶数成为可调参数,由f理论模型的调节规范单重态模决定。
Singular limits of 6D F-theory compactifications are often captured by T-branes, namely a non-abelian configuration of intersecting 7-branes with a nilpotent matrix of normal deformations. The long distance approximation of such 7-branes is a Hitchin-like system in which simple and irregular poles emerge at marked points of the geometry. When multiple matter fields localize at the same point in the geometry, the associated Higgs field can exhibit irregular behavior, namely poles of order greater than one. This provides a geometric mechanism to engineer wild Higgs bundles. Physical constraints such as anomaly cancellation and consistent coupling to gravity also limit the order of such poles. Using this geometric formulation, we unify seemingly different wild Hitchin systems in a single framework in which orders of poles become adjustable parameters dictated by tuning gauge singlet moduli of the F-theory model.
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