Expectation values of chiral primary operators in holographic interface CFT

TL;DR

This paper compares classical gauge theory calculations and holographic gravity computations of chiral primary operator expectation values in a 4D N=4 super Yang-Mills interface, finding consistent results that support the gauge/gravity duality.

Contribution

It provides the first explicit comparison of expectation values of chiral primary operators in an interface setup from both gauge theory and holographic perspectives.

Findings

Classical gauge theory calculations match holographic gravity results.

Non-trivial agreement supports the gauge/gravity duality in interface contexts.

Provides explicit computations for D3-D5 system with probe D5-brane.

Abstract

We consider the expectation values of chiral primary operators in the presence of the interface in the 4 dimensional N=4 super Yang-Mills theory. This interface is derived from D3-D5 system in type IIB string theory. These expectation values are computed classically in the gauge theory side. On the other hand, this interface is a holographic dual to type IIB string theory on AdS_5 x S^5 spacetime with a probe D5-brane. The expectation values are computed by GKPW prescription in the gravity side. We find non-trivial agreement of these two results: the gauge theory side and the gravity side.