TY - JOUR

T1 - Non-commutative Yang-Mills and the AdS/CFT correspondence

AU - Hashimoto, Akikazu

AU - Itzhaki, N.

N1 - Funding Information:
N.I. would like to thank S. Yankielowicz for discussions. The work of A.H. is supported in part by the National Science Foundation under Grant No. PHY94-07194. The work of N.I. is supported in part by NSF grant No. PHY9722022.

PY - 1999

Y1 - 1999

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0002940990&partnerID=8YFLogxK

U2 - 10.1016/S0370-2693(99)01037-0

DO - 10.1016/S0370-2693(99)01037-0

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AN - SCOPUS:0002940990

SN - 0370-2693

VL - 465

SP - 142

EP - 147

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

IS - 1-4

ER -