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.
将具有更高自旋AdS 3 π的二维极小模型CFTs类推广到具有大N=4超共形对称性的理论.我们构造了一个基于整体D(2,1)的高自旋理论|α)超代数,并提出了一个N族陪集作为对偶CFT描述.我们还指出如何一个非阿贝尔版本的瓦西里耶夫高自旋理论可能会给IIB弦论的另一种描述AdS3 x S3 x S1的背景。
$P-V$ Criticality of Conformal Gravity Holography in Four Dimensions
{We examine the critical behaviour i. e. $P-V$ criticality of conformal gravity~(CG) in an extended phase space in which the cosmological constant should be interpreted as a thermodynamic pressure and the corresponding conjugate quantity as a thermodynamic volume.} The main potential point of interest in CG is that there exists a {non-trivial} \emph{Rindler parameter ($a$)} in the {spacetime geometry. This geometric parameter has an important role to construct a model for gravity at large distances where the parameter " $a$ " actually originates}. We also investigate the effect of the said par…