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 http://resolver.caltech.edu/CaltechAUTHORS:ARGjhep06
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We point out that for Script 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,Bbb 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.
|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|
|Subject Keywords:||Duality in Gauge Field Theories, Supersymmetric gauge theory|
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|Deposited By:||Archive Administrator|
|Deposited On:||22 Sep 2006|
|Last Modified:||26 Dec 2012 09:03|
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