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A Note on Supergravity Duals of Noncommutative Yang-Mills Theory

Sumit R. Das·Banhiman Ghosh
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Abstract

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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Sumit R. Das, Banhiman Ghosh. 2000-05-11. A Note on Supergravity Duals of Noncommutative Yang-Mills Theory. https://doi.org/10.1088/1126-6708%2F2000%2F06%2F043

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