arXiv 1402.63272014-02hep-th

相交D3-branes的场论

The Field Theory of Intersecting D3-branes

Eric Mintun, Joseph Polchinski, Sichun Sun

备注：: 30 pages. v2: added references, small updates. v3: grant info revised
DOI：: 10.1007/JHEP08(2015)118

摘要：

我们研究了两个具有1+1维交叉的垂直D3-膜上的缺陷规范理论，D3-膜上的$U(1)$场和交叉点上的带电超多重态。我们认为，这种规范理论必须有一个磁荷孤子对应的D弦之间的膜拉伸。我们表明，超多重态的源磁场以及电场，但磁荷被限制，如果超多重态的作用是正则的。考虑超多重态空间的周期性导致一个非平凡的Gibbons-Hawking度规，我们表明，然后有预期的磁扭结的解决方案。超多重态度规有一个奇点，我们认为这个奇点必须通过嵌入完整的弦论来解决。另一个有趣的特征是经典场方程在交叉点处具有对数发散，这导致了作用量中的经典重整化群流。

英文摘要：

We examine the defect gauge theory on two perpendicular D3-branes with a 1+1 dimensional intersection, consisting of $U(1)$ fields on the D3-branes and charged hypermultiplets on the intersection. We argue that this gauge theory must have a magnetically charged soliton corresponding to the D-string stretched between the branes. We show that the hypermultiplets do source magnetic as well as electric fields, but the magnetic charges are confined if the hypermultiplet action is canonical. Considerations of periodicity of the hypermultiplet space lead to a nontrivial Gibbons-Hawking metric, and we show that there is then the expected magnetic kink solution. The hypermultiplet metric has a singularity, which we argue must be resolved by embedding in the full string theory. Another interesting feature is that the classical field equations have logarithmic divergences at the intersection, which lead to a classical renormalization group flow in the action.

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摘要：

英文摘要：

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