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arXiv 1408.0912hep-th
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一个新的具有扩展SUSY和谱流的AdS_4/CFT_3对偶

A new AdS_4/CFT_3 Dual with Extended SUSY and a Spectral Flow

Yolanda Lozano, Niall T. Macpherson

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40 pages, published version
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摘要：

通过对ABJM的IIA型对偶进行非阿贝尔T对偶变换，构造了一个新的IIB型超引力背景AdS_4。对探测膜和类粒子膜的分析提出了一个对偶CFT，其中每个规范群都是加倍的。非阿贝尔T-对偶的一个共同特征是，在缺乏来自弦论的任何全局信息的情况下，它产生了非紧的对偶背景，其坐标存在于对偶化所涉及的李群的李代数中。在CFT的背景下，这给CFT带来了明显的问题。本文证明了在新的AdS_4背景下，伴随对偶CFT的规范群在非紧内部方向从0到无穷大时经历谱流，这类似于N=1时的Seiberg对偶。这种现象，非常让人想起级联，在CFT中为非紧坐标的运行提供了一种解释，并表明在流的末端，额外的电荷消失了，对偶CFT由非常类似于ABJM的2-节点的非对称性描述，尽管减少了超对称性。

英文摘要：

We construct a new AdS_4 background in Type IIB supergravity by means of a non-Abelian T-duality transformation on the Type IIA dual of ABJM. The analysis of probe and particle-like branes suggests a dual CFT in which each of the gauge groups is doubled. A common feature of non-Abelian T-duality is that in the absence of any global information coming from String Theory it gives rise to non-compact dual backgrounds, with coordinates living in the Lie algebra of the Lie group involved in the dualization. In backgrounds with CFT duals this poses obvious problems to the CFTs. In this paper we show that for the new AdS_4 background the gauge groups of the associated dual CFT undergo a spectral flow as the non-compact internal direction runs from 0 to infinity, which resembles Seiberg duality in N=1. This phenomenon, very reminiscent of the cascade, provides an interpretation in the CFT for the running of the non-compact coordinate, and suggests that at the end of the flow the extra charges disappear and the dual CFT is described by a 2-node quiver very similar to ABJM, albeit with reduced supersymmetry.

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