A Note on Supergravity Duals of Noncommutative Yang-Mills Theory

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 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.