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

Argyres, Philip C. and Kapustin, Anton and Seiberg, Nathan (2006) On S-duality for non-simply-laced gauge groups. Journal of High Energy Physics, 2006 (6). Art. No. 043. ISSN 1126-6708. https://resolver.caltech.edu/CaltechAUTHORS:ARGjhep06

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Abstract

We point out that for Script N = 4 gauge theories with exceptional gauge groups G_2 and F_4 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 Γ_0(3) and Γ_0(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.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1088/1126-6708/2006/06/043DOIArticle
http://iopscience.iop.org/article/10.1088/1126-6708/2006/06/043/metaPublisherArticle
http://arxiv.org/abs/hep-th/0603048arXivDiscussion Paper
ORCID:
AuthorORCID
Kapustin, Anton0000-0003-3903-5158
Seiberg, Nathan0000-0003-3897-046X
Additional Information:© 2006 SISSA. Received 31 March 2006, accepted for publication 15 May 2006. Published 20 June 2006. P.C.A. and A.K. would like to thank Institute for Advanced Study, Princeton, NJ, for hospitality while this work was being performed. P.C.A. is supported in part by DOE grant DOE-FG02-84-ER40153. A.K. is supported in part by DOE grant DOE-FG03-92-ER40701. N.S. is supported in part by DOE grant DOE-FG02-90-ER40542. E-print number: hep-th/0603048
Funders:
Funding AgencyGrant Number
Department of Energy (DOE)DE-FG02-84-ER40153
Department of Energy (DOE)DE-FG03-92-ER40701
Department of Energy (DOE)DE-FG02-90-ER40542
Subject Keywords:Duality in Gauge Field Theories, Supersymmetric gauge theory
Issue or Number:6
Record Number:CaltechAUTHORS:ARGjhep06
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:ARGjhep06
Official Citation:Philip C. Argyres et al JHEP06(2006)043
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:5039
Collection:CaltechAUTHORS
Deposited By: Archive Administrator
Deposited On:22 Sep 2006
Last Modified:12 Dec 2019 17:06

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