TY - JOUR

T1 - S-duality in N = 4 Yang-Mills theories with general gauge groups

AU - Girardello, Luciano

AU - Giveon, Amit

AU - Porrati, Massimo

AU - Zaffaroni, Alberto

N1 - Funding Information:
We would like to thankC . Imbimboa nd S. Mukhi for helpfuld iscussionsW. e also thankS . Elitzur, E. RabinoviciA, . SchwimmerC, . Vafa and E. Witten.A .G. would like to thankt heD epartmenotf Physicso f NYU for its kind hospitalityL.. G. is supporteidn part by the Ministerod ell' Universite della RicercaS cientificae Tecnologicab,y INFN and by ECC, contractsS CI*-CT92-0789a nd CHRX-CT92-0035A. .G. is supporteidn part by BSF - American-IsraeBli -NationaSl cienceF oundationb,y the BRF - the Basic ResearchF oundationa ndby an Alon fellowshipM. .P. is supporteidn part by NSF under grantP HY-9318171A. .Z. is supportedin part by ECC, ProjectE RBCHGCTI93073, SCI-CT93-0340C, HRX-CT93-0340.

PY - 1995/8/14

Y1 - 1995/8/14

N2 - '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 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.

AB - '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 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.

UR - http://www.scopus.com/inward/record.url?scp=4244088238&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=4244088238&partnerID=8YFLogxK

U2 - 10.1016/0550-3213(95)00177-T

DO - 10.1016/0550-3213(95)00177-T

M3 - Article

AN - SCOPUS:4244088238

SN - 0550-3213

VL - 448

SP - 127

EP - 165

JO - Nuclear Physics, Section B

JF - Nuclear Physics, Section B

IS - 1-2

ER -