AdS/CFT correspondence via R-current correlation functions revisited

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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23 pages, v2: calculations clarified, references added, v3: sections re-arranged with more explanations, 4 figures and an appe

Scientific paper

10.1142/S0217751X08039943

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.

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