Non-commutative Yang-Mills and the AdS/CFT correspondence

Akikazu Hashimoto*, N. Itzhaki

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


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 script N sign = 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.

Original languageEnglish
Pages (from-to)142-147
Number of pages6
JournalPhysics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Issue number1-4
StatePublished - 1999
Externally publishedYes


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