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arXiv 1306.0466hep-th
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扩展的高自旋全息和格拉斯曼模型

Extended higher spin holography and Grassmannian models

Thomas Creutzig, Yasuaki Hikida, Peter B. Ronne

摘要:

我们提出了AdS_3上推广Chan-Paton因子的高自旋引力理论与具有和不具有超对称性的二维Grassmannian模型的大N极限之间的全息对偶。这些建议是没有Chan-Paton因子的对偶的自然扩展,并且扩展是由更高维版本的对偶激发的,这意味着通过ABJ理论与超弦理论可能的关系。作为证据的建议,我们表明,自由极限的格拉斯曼模型具有更高的自旋对称性所期望的对偶引力理论。此外,我们构造了超对称格拉斯曼模型的t Hooft极限下的电流,并将其与体理论的电流进行了比较。超引力理论中的单圈配分函数是在规范扇区解耦后由格拉斯曼模型的t Hooft极限再现的。

英文摘要:

We propose holographic dualities between higher spin gravity theories extended with Chan-Paton factor on AdS_3 and a large N limit of two dimensional Grassmannian models with and without supersymmetry. These proposals are natural extensions of the duality without Chan-Paton factor, and the extensions are motivated by a higher dimensional version of the duality, which implies a possible relation to superstring theory via ABJ theory. As evidence for the proposals, we show that the free limit of the Grassmannian models have the higher spin symmetry expected from the dual gravity theory. Furthermore, we construct currents in the 't Hooft limit of the supersymmetric Grassmannian model and compare them with the currents from the bulk theory. One-loop partition function of the supergravity theory is reproduced by the 't Hooft limit of the Grassmannian model after decoupling a gauge sector.

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