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

TL;DR

This paper investigates the two-point functions of half-BPS operators in strongly coupled 4d $ ext{N}=4$ SYM on real projective space using holography and bootstrap methods, revealing new insights into correlators at strong coupling.

Contribution

It provides the first computation of two-point functions of $rac{1}{2}$-BPS operators in this setting at strong coupling using holography and bootstrap techniques.

Findings

All two-point functions of $rac{1}{2}$-BPS operators determined at leading order.

Results applicable to arbitrary operator weights.

Enhanced understanding of correlators in $ ext{N}=4$ SYM on $ ext{RP}^4$.

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.