On string tensions in supersymmetric gauge theory

被引:80
作者
Herzog, CP [1 ]
Klebanov, IR [1 ]
机构
[1] Princeton Univ, Dept Phys, Princeton, NJ 08544 USA
基金
美国国家科学基金会;
关键词
D O I
10.1016/S0370-2693(02)01155-3
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
In some models of N = I supersymmetric SU(M) gauge dynamics (Nucl. Phys. B 447 (1995) 271 and Nucl. Phys. B 513 (1998) 87), the tension of a string ending on q external quarks, is proportional to sin(piq/M), q = 1,..., M - 1. In this Letter we calculate the ratios of the q-string tensions using the recently derived type 1113 gravity duals of N = I SUSY gauge theories. Far in the IR these gravity duals contain an S-3 with M units of R-R 3-form flux which, upon S-duality, turns into NS-NS 3-form. flux. The confining q-string is described by a D3-brane wrapping an S-2 subset of S-3 with q units of world volume flux. For one of the gravity dual back-grounds (Maldacena-Nunez) a D3-brane probe calculation exactly reproduces the sin(piq/M) dependence, while for another (Klebanov-Strassler) we find approximate agreement. We speculate on the connection of the q-string tensions with D-brane tensions in the SU(2) WZW model. (C) 2002 Elsevier Science B.V. All rights reserved.
引用
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页码:388 / 392
页数:5
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