The moduli space of vacua of N=2 class S theories View Full Text


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Article Info

DATE

2014-10

AUTHORS

Dan Xie, Kazuya Yonekura

ABSTRACT

We develop a systematic method to describe the moduli space of vacua of four dimensional N=2 class S theories including Coulomb branch, Higgs branch and mixed branches. In particular, we determine the Higgs and mixed branch roots, and the dimensions of the Coulomb and Higgs components of mixed branches. They are derived by using generalized Hitchin’s equations obtained from twisted compactification of 5d maximal Super-Yang-Mills, with local degrees of freedom at punctures given by (nilpotent) orbits. The crucial thing is the holomorphic factorization of the Seiberg-Witten curve and reduction of singularity at punctures. We illustrate our method by many examples including N=2 SQCD, TN theory and Argyres-Douglas theories. More... »

PAGES

134

References to SciGraph publications

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  • 2014-01. Supersymmetric gauge theory, (2,0) theory and twisted 5d Super-Yang-Mills in JOURNAL OF HIGH ENERGY PHYSICS
  • 2011-02. On D = 5 super Yang-Mills theory and (2, 0) theory in JOURNAL OF HIGH ENERGY PHYSICS
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  • 2012-02. Wild quiver gauge theories in JOURNAL OF HIGH ENERGY PHYSICS
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    43 schema:description We develop a systematic method to describe the moduli space of vacua of four dimensional N=2 class S theories including Coulomb branch, Higgs branch and mixed branches. In particular, we determine the Higgs and mixed branch roots, and the dimensions of the Coulomb and Higgs components of mixed branches. They are derived by using generalized Hitchin’s equations obtained from twisted compactification of 5d maximal Super-Yang-Mills, with local degrees of freedom at punctures given by (nilpotent) orbits. The crucial thing is the holomorphic factorization of the Seiberg-Witten curve and reduction of singularity at punctures. We illustrate our method by many examples including N=2 SQCD, TN theory and Argyres-Douglas theories.
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