Holographic Correlators of Giant Gravitons in Monodromy Defects

TL;DR

This paper calculates holographic correlation functions for giant gravitons affected by monodromy defects using probe branes and charged geodesics, revealing a new contribution from defect-anchored geodesics that captures one-point functions.

Contribution

It introduces a novel method to compute correlators involving giant gravitons in defect backgrounds by analyzing charged geodesics in supergravity.

Findings

Discovery of an extra geodesic contribution from the defect.

Calculation of one-point functions of giant graviton operators.

Extension of holographic techniques to defect scenarios.

Abstract

We compute holographically correlation functions for giant gravitons in $\mathcal{N}=4$ SYM in the presence of monodromy defects through probe branes. The computation boils down to the study of charged geodesics in certain five-dimensional gauged supergravity backgrounds. In addition to the standard U-shaped geodesic, in the presence of the defect, we find an extra, novel, contribution from a geodesic anchored at the defect which captures the one-point function of the square of the giant graviton.