Published June 2006 | Version v1
Journal article

On S-duality for non-simply-laced gauge groups

  • 1. Physics Department, University of Cincinnati, Cincinnati OH 45221-0011 (United States)
  • 2. California Institute of Technology, Pasadena, CA 91125 (United States)
  • 3. School of Natural Sciences, Institute for Advanced Study, Princeton NJ 08540 (United States)

Description

We point out that for N = 4 gauge theories with exceptional gauge groups G2 and F4 the S-duality transformation acts on the moduli space by a nontrivial involution. We note that the duality groups of these theories are the Hecke groups with elliptic elements of order 6 and 4, respectively. These groups extend the Γ0(3) and Γ0(2) subgroups of SL(2,Z) by elements with a non-trivial action on the moduli space. We show that under a certain embedding of these gauge theories into string theory, the Hecke duality groups are represented by T-duality transformations

Availability note (English)

Available online at http://stacks.iop.org/1126-6708/2006/i=06/a=043/jhep062006043.pdf or at the Web site for the Journal of High Energy Physics (ISSN 1029-8479) http://www.iop.org/

Additional details

Publishing Information

Journal Title
Journal of High Energy Physics
Journal Volume
2006
Journal Issue
06
Journal Page Range
p. 043
ISSN
1126-6708

INIS

Country of Publication
Italy
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
38001646
Subject category
S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
Descriptors DEI
DUALITY; GAUGE INVARIANCE; QUANTUM FIELD THEORY; SL GROUPS; SPACE; STRING MODELS; TRANSFORMATIONS
Descriptors DEC
COMPOSITE MODELS; EXTENDED PARTICLE MODEL; FIELD THEORIES; INVARIANCE PRINCIPLES; LIE GROUPS; MATHEMATICAL MODELS; PARTICLE MODELS; QUARK MODEL; SYMMETRY GROUPS