S-Duality in N=4 Yang-Mills Theories with General Gauge Groups,

Details S-Duality in N=4 Yang-Mills Theories with General Gauge Groups, S-Duality in N=4 Yang-Mills Theories with General Gauge Groups,

1995-02-09

arxiv.org/abs/hep-th/9502057v2

Nucl.Phys. B448 (1995) 127-165

Physics

High Energy Physics

High Energy Physics - Theory

39 pages, NYU-TH-94/12/1, IFUM/488/FT, CPTH-A347-01/95, RI-12-94

Scientific paper

10.1016/0550-3213(95)00177-T

't Hooft construction of free energy, electric and magnetic fluxes, and of the partition function with twisted boundary conditions, is extended to the case of $N=4$ supersymmetric Yang-Mills theories based on arbitrary compact, simple Lie groups. The transformation of the fluxes and the free energy under S-duality is presented. We consider the partition function of $N=4$ for a particular choice of boundary conditions, and compute exactly its leading infrared divergence. We verify that this partition function obeys the transformation laws required by S-duality. This provides independent evidence in favor of S-duality in $N=4$ theories.

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