Holography for $\mathcal{N}=4$ on ${\mathbb{RP}}^4$

Abstract

We propose a holographic description of $\mathcal{N}=4$ super Yang-Mills on the four-dimensional real projective space ${\mathbb{RP}}^4$. We first construct the dual background in the framework of five-dimensional $\mathcal{N}=8$ gauged supergravity, and then uplift it to a new one-half BPS solution of type IIB supergravity. A salient feature of our solution is the presence of a bulk naked singularity whose local behavior resembles that of an O1${}_{-}$ plane in flat space.

37 pages, 3 figures