Extended higher spin holography and Grassmannian models
Extended higher spin holography and Grassmannian models
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DOI：
10.1007/jhep11(2013)038
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发表时间：
2013-06
影响因子：
5.4
通讯作者：
T. Creutzig;Yasuaki Hikida;P. B. Rønne
中科院分区：
文献类型：
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作者：
T. Creutzig;Yasuaki Hikida;P. B. Rønne
我们提出了在ADS3上推广的含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Grassman模型的大N极限之间的全息对偶。这些建议是没有Chan-Paton因子的对偶性的自然扩展，这些扩展是由对偶性的高维版本所驱动的，这意味着通过ABJ理论可能与超弦理论有关系。作为证据，我们证明了Grassman模型的自由极限具有双重引力理论所期望的更高的自旋对称性。此外，我们构造了超对称Grassman模型的‘t Hooft极限内的电流，并将其与本体理论中的电流进行了比较。超引力理论的单圈配分函数是在规范扇区解耦后由Grassman模型的‘t Hooft极限重现的。
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.