On String Tensions in Supersymmetric SU(M) Gauge Theory

Details On String Tensions in Supersymmetric SU(M) Gauge Theory On String Tensions in Supersymmetric SU(M) Gauge Theory

2001-11-08

arxiv.org/abs/hep-th/0111078v4

Phys.Lett. B526 (2002) 388-392

Physics

High Energy Physics

High Energy Physics - Theory

9 pages, 1 figure, v4: Published in PLB, typos in eqs. 10 and 12 fixed, figure compressed

Scientific paper

10.1016/S0370-2693(02)01155-3

In some models of N=1 supersymmetric SU(M) gauge dynamics (hep-th/9503163 and hep-th/9707244), the tension of a string ending on q external quarks is proportional to sin(pi q/M), q=1,..., M-1. In this paper we calculate the ratios of the q-string tensions using the recently derived type IIB gravity duals of N=1 SUSY gauge theories. Far in the IR these gravity duals contain a three-sphere 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 a two-sphere inside the three-sphere with q units of world volume flux. For one of the gravity dual backgrounds (Maldacena-Nunez) a D3-brane probe calculation exactly reproduces the sin(pi q/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.

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