AdS/CFT CORRESPONDENCE VIA R-CURRENT CORRELATION FUNCTIONS REVISITED

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 [Formula: see text] super-Yang–Mills theory. These correlation functions in free field limit can be derived from the worldline formalism and are 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 propagators. We expect that this reparametrization corresponds to transforming open string moduli parametrization to the closed string ones.