T-branes and monodromy
T-branes and monodromy
复制标题
T-膜和单一性
DOI：
10.1007/jhep07(2011)030
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发表时间：
2010
影响因子：
5.4
通讯作者：
C. Vafa
中科院分区：
文献类型：
--
作者：
S. Cecotti;Clay Córdova;J. Heckman;C. Vafa
我们引入T膜，或称“三角膜”，它是膜的一种新的非阿贝尔束缚状态，其特征是在某些轨迹上，它们的法向变形矩阵或Higgs场是上三角形的。这些构型完善了单向膜的概念，单向膜最近在F理论现象学中发挥了关键作用。我们展示了生活在复余维一子空间上的定域物质是如何出现的，并解释了如何计算它们在复余维二子空间中的汤川耦合。T膜不仅阐明了膜单向性的含义，它们还为现象学的构建和纯理论的应用开辟了大量的新可能性。结果表明，对于一般的T膜，希格斯场的本征值不能捕捉到局域模谱。特别地，这提供了一种方法来避免对假设希格斯场的谱方程完全确定局域模型的F理论的某些约束。
We introduce T-branes, or “triangular branes”, which are novel non-abelian bound states of branes characterized by the condition that on some loci, their matrix of normal deformations, or Higgs field, is upper triangular. These configurations refine the notion of monodromic branes which have recently played a key role in F-theory phenomenology. We show how localized matter living on complex codimension one subspaces emerge, and explain how to compute their Yukawa couplings, which are localized in complex codimension two. Not only do T-branes clarify what is meant by brane monodromy, they also open up a vast array of new possibilities both for phenomenological constructions and for purely theoretical applications. We show that for a general T-brane, the eigenvalues of the Higgs field can fail to capture the spectrum of localized modes. In particular, this provides a method for evading some constraints on F-theory GUTs which have assumed that the spectral equation for the Higgs field completely determines a local model.