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

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arxiv hep-th/9907166 v2 pith:4QIAD5SW submitted 1999-07-20 hep-th

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

classification hep-th
keywords couplingnon-commutativeyang-millscorrespondencenon-commutativityrelationscalesupergravity
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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 \lambda.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Groenewold-Moyal twists, integrable spin-chains and AdS/CFT

    hep-th 2026-04 unverdicted novelty 7.0

    A Groenewold-Moyal twist deforms an integrable sl(2) spin-chain whose spectrum is computed perturbatively via the Baxter equation and matched at order J^{-3} to a non-local charge of a deformed BMN string in AdS.

  2. Holographic Subregion Complexity and Fidelity Susceptibility in Noncommutative Yang--Mills Theory

    hep-th 2026-02 conditional novelty 6.0

    In the noncommutative Yang–Mills dual, holographic subregion complexity acquires a lower bound and a minimum-length scale, and strong subadditivity fails exactly at that scale.