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arXiv 0808.1271hep-th
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关于变形规范理论及其弦/M-理论

On deformed gauge theories and their string/M-theory duals

Emiliano Imeroni

摘要:

我们提出了II型弦背景和开弦边界条件的TsT变换(T-对偶,移位,T-对偶)的一般公式。TsT变换提供了一个系统的过程来寻找具有变形的拉格朗日场积的规范理论的弦论解,并且该解可以通过使用变换的D膜探针来分析。作为说明变形理论的一些特征的例子,我们考虑已知的背景对偶非交换,偶极和β-变形N=4超级杨米尔斯以及新的背景对偶最近提出的N=6陈-西蒙斯-物质理论的变形生活在多个M2膜上的orbifold。

英文摘要:

We present general formulae for the TsT transformation (T-duality, shift, T-duality) of type II string backgrounds and open string boundary conditions. The TsT transformation provides a systematic procedure to find string theory duals of gauge theories with deformed products of fields in the lagrangian, and the duals can be analyzed by using transformed D-brane probes. As examples illustrating some features of the deformed theories, we consider the known backgrounds dual to non-commutative, dipole and beta-deformed N=4 Super Yang-Mills as well as new backgrounds dual to deformations of the recently proposed N=6 Chern-Simons-matter theory living on multiple M2-branes on an orbifold.

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