Gravity/Non-Commutative Yang-Mills Correspondence and Doubletons

Details Gravity/Non-Commutative Yang-Mills Correspondence and Doubletons Gravity/Non-Commutative Yang-Mills Correspondence and Doubletons

2001-12-11

arxiv.org/abs/hep-th/0112083v2

Prog.Theor.Phys. 107 (2002) 805-825

Physics

High Energy Physics

High Energy Physics - Theory

24 pages, no figures, references added

Scientific paper

10.1143/PTP.107.805

We discuss the gravity dual description for a non-commutative Yang-Mills theory, which reduces to that on AdS_{5} x S_{5} 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 AdS_{5} 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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