Holography for $$ \mathcal{N} $$ = 4 on $$ \mathbbm{RP} $$4
João Caetano, Leonardo Rastelli
Abstract
A bstract We propose a holographic description of $$ \mathcal{N} $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>N</mml:mi> </mml:math> = 4 super Yang-Mills on the four-dimensional real projective space $$ \mathbbm{RP} $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>RP</mml:mi> </mml:math> 4 . We first construct the dual background in the framework of five-dimensional $$ \mathcal{N} $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>N</mml:mi> </mml:math> = 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.