Tinkertoys for the DN series View Full Text


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Article Info

DATE

2013-02-19

AUTHORS

Oscar Chacaltana, Jacques Distler

ABSTRACT

We 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... »

PAGES

110

References to SciGraph publications

  • 2012-09-26. N = 2 generalized superconformal quiver gauge theory in JOURNAL OF HIGH ENERGY PHYSICS
  • 2011-05-16. More three dimensional mirror pairs in JOURNAL OF HIGH ENERGY PHYSICS
  • 2007-12-28. S-duality in N = 2 supersymmetric gauge theories in JOURNAL OF HIGH ENERGY PHYSICS
  • 2012-08-06. N = 2 dualities in JOURNAL OF HIGH ENERGY PHYSICS
  • 2009-07-20. Six-dimensional DN theory and four-dimensional SO-USp quivers in JOURNAL OF HIGH ENERGY PHYSICS
  • 2010-03-09. Hitchin equation, singularity, and N = 2 superconformal field theories in JOURNAL OF HIGH ENERGY PHYSICS
  • 2008-01-31. Infinite coupling duals of N = 2 gauge theories and new rank 1 superconformal field theories in JOURNAL OF HIGH ENERGY PHYSICS
  • 2010-09-16. Mirrors of 3d Sicilian theories in JOURNAL OF HIGH ENERGY PHYSICS
  • 2010-11-22. Tinkertoys for Gaiotto duality in JOURNAL OF HIGH ENERGY PHYSICS
  • Identifiers

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    http://scigraph.springernature.com/pub.10.1007/jhep02(2013)110

    DOI

    http://dx.doi.org/10.1007/jhep02(2013)110

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1040546683


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