The c-Function of Noncommutative Yang-Mills Theory from Holography

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  • 8 January 2000
Abstract
In this paper we obtain the $c$-function of noncommutative Yang-Mills (NCYM) theory from the boundary counter-terms in its supergravity dual. Within certain region of the B-moduli, including the self-dual backgrounds (at either zero or finite temperature), the $c$-function monotonically decreases towards the infrared fixed point, where it recovers the central charge of ordinary Yang-Mills theory. In the other part of the B-moduli, the resulting $c$-function has singularity at a finite value of the radial coordinate, indicative of the breakdown of the treatment.

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