Sduality in N = 4 YangMills theories with general gauge groups
Abstract
't Hooft's 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 YangMills theories based on arbitrary compact, simple Lie groups. The transformation of the fluxes and the free energy under Sduality 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 Sduality. This provides independent evidence in favor of Sduality in N = 4 theories.
 Publication:

Nuclear Physics B
 Pub Date:
 February 1995
 DOI:
 10.1016/05503213(95)00177T
 arXiv:
 arXiv:hepth/9502057
 Bibcode:
 1995NuPhB.448..127G
 Keywords:

 High Energy Physics  Theory
 EPrint:
 39 pages, NYUTH94/12/1, IFUM/488/FT, CPTHA34701/95, RI1294