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

Philip C. Argyres | Zendy; Anton Kapustin | Zendy; Nathan Seiberg | Zendy

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

Author(s) -

Philip C. Argyres,

Anton Kapustin,

Nathan Seiberg

Publication year - 2006

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2006/06/043

Subject(s) - moduli space , mathematics , duality (order theory) , pure mathematics , seiberg duality , s duality , poincaré duality , string duality , string theory , gauge theory , gauge group , mathematical physics , supersymmetric gauge theory , physics , gauge anomaly , quantum mechanics , cohomology , relationship between string theory and quantum field theory , quantum gravity , quantum

We point out that for N=4 gauge theories with exceptional gauge groups G_2and F_4 the S-duality transformation acts on the moduli space by a nontrivialinvolution. We note that the duality groups of these theories are the Heckegroups with elliptic elements of order six and four, respectively. These groupsextend certain subgroups of SL(2,Z) by elements with a non-trivial action onthe moduli space. We show that under an embedding of these gauge theories intostring theory, the Hecke duality groups are represented by T-dualitytransformations.Comment: 8 pages, latex. v2: references adde

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