The moduli space of vacua of N = 2 S theories

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Abstract

We develop a systematic method to describe the moduli space of vacua of four dimensional N = 2 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.

Original languageEnglish
Article number134
JournalJournal of High Energy Physics
Volume2014
Issue number10
DOIs
Publication statusPublished - 2014

Keywords

  • Brane Dynamics in Gauge Theories
  • Extended Supersymmetry
  • Supersymmetric gauge theory

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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