Correlators of $\mathcal{N}=4$ SYM on real projective space at strong coupling

Abstract

We consider type IIB supergravity on a $\mathbb{Z}_2$ quotient of AdS$_5\times$S$^5$ as the holographic dual of strongly coupled 4d $\mathcal{N}=4$ SYM on $\mathbb{RP}^4$ space with the gauging of charge conjugation. Using bootstrap techniques, we determine all two-point functions of $\frac{1}{2}$-BPS operators of arbitrary weights at the leading order in the large central charge expansion.