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arXiv 1407.0403hep-thmath.GT
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BPS M5-branes作为3d-3d通信的缺陷

BPS M5-branes as Defects for the 3d-3d Correspondence

Ibrahima Bah, Maxime Gabella, Nick Halmagyi

摘要:

本文研究了包裹在双曲三维流形M_3上的M5-膜在AdS_4解中的超对称探测M5-膜。这相当于在3d-3d对应的框架内引入内部缺陷。BPS条件要求探针M5-膜沿着整个AdS_4延伸,并包裹一个嵌入M_3上的S^2-纤维化的表面。我们发现该曲面到M_3的投影可以是测地线,也可以是围绕测地线的管状曲面。除了对应于对偶3d N=2规范理论的R对称性之外,这些组态还保留了额外的U(1)对称性。BPS M2-膜可以在包裹测地线的M5-膜之间伸展。我们解释了除了探测M5-膜上的一个封闭的测地线的共形Dehn手术。

英文摘要:

We study supersymmetric probe M5-branes in the AdS_4 solution that arises from M5-branes wrapped on a hyperbolic 3-manifold M_3. This amounts to introducing internal defects within the framework of the 3d-3d correspondence. The BPS condition for a probe M5-brane extending along all of AdS_4 requires it to wrap a surface embedded in an S^2-fibration over M_3. We find that the projection of this surface to M_3 can be either a geodesic or a tubular surface around a geodesic. These configurations preserve an extra U(1) symmetry, in addition to the one corresponding to the R-symmetry of the dual 3d N=2 gauge theory. BPS M2-branes can stretch between M5-branes wrapping geodesics. We interpret the addition of probe M5-branes on a closed geodesic in terms of conformal Dehn surgery.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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