A Note on Supergravity Duals of Noncommutative Yang-Mills Theory

Details A Note on Supergravity Duals of Noncommutative Yang-Mills Theory A Note on Supergravity Duals of Noncommutative Yang-Mills Theory

2000-04-30

arxiv.org/abs/hep-th/0005007v2

JHEP 0006 (2000) 043

Physics

High Energy Physics

High Energy Physics - Theory

18 pages, harvmac; typos corrected and references added

Scientific paper

10.1088/1126-6708/2000/06/043

A class of supergravity backgrounds have been proposed as dual descriptions of strong coupling large-N noncommutative Yang-Mills (NCYM) theories in 3+1 dimensions. However calculations of correlation functions in supergravity from an evaluation of relevant classical actions appear ambiguous. We propose a resolution of this ambiguity. Assuming that {\it some} holographic description exists - regardless of whether it is the NCYM theory - we argue that there should be operators in the holographic boundary theory which create normalized states of definite energy and momenta. An operator version of the dual correspondence then provides a calculation of correlators of these operators in terms of bulk Green's functions. We show that in the low energy limit the correlators reproduce expected answers of the ordinary Yang-Mills theory.

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