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

被引:287
作者
Hashimoto, A [1 ]
Itzhaki, N
机构
[1] Univ Calif Santa Barbara, Inst Theoret Phys, Santa Barbara, CA 93106 USA
[2] Univ Calif Santa Barbara, Dept Phys, Santa Barbara, CA 93106 USA
基金
美国国家科学基金会;
关键词
D O I
10.1016/S0370-2693(99)01037-0
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
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. (C) 1999 Published by Elsevier Science B.V. All rights reserved.
引用
收藏
页码:142 / 147
页数:6
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