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arXiv 0705.2347hep-th
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带边界流形上的五维矢量耦合超引力

Five-dimensional vector-coupled supergravity on a manifold with boundary

Sean McReynolds

摘要:

我们考虑在有边界的时空(同构于M × S1/Z2)上五维麦克斯韦和杨-米尔斯-爱因斯坦超引力理论的玻色子和费米对称性。由于“陈-西蒙斯”项的出现,经典作用量在规范和超对称下一般不是不变的。一旦允许体向量场在边界上传播,就会有一个由定义五维理论的秩3对称张量控制的“流入”。我们讨论的要求,不变性的行动施加新的物质内容和边界条件。

英文摘要:

We consider the bosonic and fermionic symmetries of five-dimensional Maxwell- and Yang-Mills-Einstein supergravity theories on a spacetime with boundaries (isomorphic to M x S1/Z2). Due to the appearance of the "Chern-Simons" term, the classical action is not generally invariant under gauge and supersymmetries. Once bulk vector fields are allowed to propagate on the boundaries, there is an "inflow" governed by the rank-3 symmetric tensor that defines the five-dimensional theories. We discuss the requirements that invariance of the action imposes on new matter content and boundary conditions.

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