Published June 2007 | Version v1
Journal article

A note on S-duality for the N = 1* Sp(2n) and SO(2n+1) super-Yang-Mills theories

  • 1. Department of Fundamental Physics, Chalmers University of Technology, S-412 96 Goeteborg (Sweden)

Description

We study the N = 1* supersymmetric gauge theories with gauge groups Sp(2n) and SO(2n+1). These theories are obtained from the corresponding N = 4 supersymmetric Yang-Mills theories via a mass deformation. We show that the number of quantum vacua in the Sp(2n) theory is equal to the number of quantum vacua in the SO(2n+1) theory. This constitutes non-trivial support for S-duality between these theories. The verification of the equality of the number of quantum vacua involves a rather esoteric identity due to Ramanujan

Additional details

Publishing Information

Journal Title
Journal of High Energy Physics
Journal Volume
6
Journal Issue
2007
Journal Page Range
p. 077
ISSN
1126-6708

INIS

Country of Publication
Italy
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
38083998
Subject category
S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
Descriptors DEI
DEFORMATION; DUALITY; GAUGE INVARIANCE; MASS; QUANTUM FIELD THEORY; SO GROUPS; SP GROUPS; SUPERSYMMETRY; VACUUM STATES; YANG-MILLS THEORY
Descriptors DEC
FIELD THEORIES; INVARIANCE PRINCIPLES; LIE GROUPS; SYMMETRY; SYMMETRY GROUPS