TY - JOUR
T1 - On string tensions in supersymmetric gauge theory
AU - Herzog, Christopher P.
AU - Klebanov, Igor R.
PY - 2002
Y1 - 2002
N2 - 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.
AB - 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.
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U2 - 10.1016/S0370-2693(02)01155-3
DO - 10.1016/S0370-2693(02)01155-3
M3 - Article
AN - SCOPUS:0001515771
SN - 0370-2693
VL - 526
SP - 388
EP - 392
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 - 3-4
ER -