Ontology type: schema:ScholarlyArticle Open Access: True
2013-02-19
AUTHORSOscar Chacaltana, Jacques Distler
ABSTRACTWe describe a procedure for classifying 4D \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$ \mathcal{N} $\end{document} = 2 superconformal theories of the type introduced by Davide Gaiotto. Any punctured curve, C, on which the 6D (2, 0) SCFT is compactified, may be decomposed into 3-punctured spheres, connected by cylinders. The 4D theories, which arise, can be characterized by listing the “matter” theories corresponding to 3-punctured spheres, the simple gauge group factors, corresponding to cylinders, and the rules for connecting these ingredients together. Different pants decompositions of C correspond to different S-duality frames for the same underlying family of 4D \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$ \mathcal{N} $\end{document} = 2 SCFTs. In a previous work [1], we developed such a classification for the AN −1 series of 6D (2, 0) theories. In the present paper, we extend this to the DN series. We outline the procedure for general DN, and construct, in detail, the classification through D4. We discuss the implications for S-duality in Spin(8) and Spin(7) gauge theory, and recover many of the dualities conjectured by Argyres and Wittig [2]. More... »
PAGES110
http://scigraph.springernature.com/pub.10.1007/jhep02(2013)110
DOIhttp://dx.doi.org/10.1007/jhep02(2013)110
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