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arXiv · hep-th/9907166

Non-Commutative Yang-Mills and the AdS/CFT Correspondence

Akikazu Hashimoto·N. Itzhaki
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Abstract

We study the non-commutative supersymmetric Yang-Mills theory at strong coupling using the AdS/CFT correspondence. The supergravity description and the UV/IR relation confirms the expectation that the non-commutativity affects the ultra-violet but not the infra-red of the Yang-Mills dynamics. We show that the supergravity solution dual to the non-commutative N=4 SYM in four dimensions has no boundary and defines a minimal scale. We also show that the relation between the B field and the scale of non-commutativity is corrected at large coupling and determine its dependence on the 't Hooft coupling λ.

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Akikazu Hashimoto, N. Itzhaki. 1999-08-03. Non-Commutative Yang-Mills and the AdS/CFT Correspondence. https://doi.org/10.1016/s0370-2693(99)01037-0

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