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 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.
Keywords
Cite
@article{arxiv.hep-th/0505162,
title = {AdS/CFT correspondence via R-current correlation functions revisited},
author = {Shahin Mamedov and Shahrokh Parvizi},
journal= {arXiv preprint arXiv:hep-th/0505162},
year = {2008}
}
Comments
23 pages, v2: calculations clarified, references added, v3: sections re-arranged with more explanations, 4 figures and an appendix added