AdS/CFT correspondence via R-current correlation functions revisited

TL;DR

This paper revisits the AdS/CFT correspondence by analyzing R-current correlation functions in N=4 super Yang-Mills theory, demonstrating how free field calculations relate to AdS supergravity results through reparametrization.

Contribution

It shows that reparametrizing heat kernel integrals derived from free field correlators reproduces AdS supergravity results, linking open and closed string descriptions.

Findings

Reparametrization of heat kernel integrals yields AdS supergravity correlators.

Correlation functions derived from free fields match AdS results after transformation.

Supports open/closed string duality in the context of R-current correlators.

Abstract

Motivated by realizing open/closed string duality in the work by Gopakumar [Phys. Rev. D70:025009,2004], we study two and three-point correlation functions of R-current vector fields in N=4 super Yang-Mills theory. These correlation functions in free field limit can be derived from the worldline formalism and written as heat kernel integrals in the position space. We show that reparametrizing these integrals converts them to the expected AdS supergravity results which are known in terms of bulk to boundary propagator. We expect that this reparametrization corresponds to transforming open string moduli parameterization to the closed string ones.