On string tensions in supersymmetric gauge theory

Christopher P. Herzog, Igor R. Klebanov

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In some models of N = 1 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 sm(nq/M), q = 1,-,M - 1. In this Letter 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 an S3 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 S2 c S3 with q units of world volume flux. For one of the gravity dual backgrounds (Maldacena-Nuñez) a D3-brane probe calculation exactly reproduces the sin(πq/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.

Original languageEnglish (US)
Pages (from-to)388-392
Number of pages5
JournalPhysics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Issue number3-4
StatePublished - 2002

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics


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