Gravity/Non-Commutative Yang-Mills Correspondence and Doubletons
Abstract
We discuss the gravity dual description for a non-commutative Yang-Mills theory, which reduces to that on AdS5 x S5 in the commutative limit. It is found that doubletons do not decouple in this dual gravity description unless one takes the commutative limit. The decoupling of the doubletons in AdS5 space implies that the dual gauge theory has SU(N) gauge symmetry. Our result implies that this gravity description is dual to non-commutative U(N) gauge theory. It is compatible with the claim that U(1) and SU(N) gauge symmetries can not separate in non-commutative U(N) gauge theory.
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