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Title: The moduli space of vacua of $$ \mathcal{N}=2 $$ class $$ \mathcal{S} $$ theories

Journal Article · · Journal of High Energy Physics (Online)
 [1];  [1]
  1. Institute for Advanced Study, Princeton (United Kingdom). School of Natural Sciences

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, T N theory and Argyres-Douglas theories.

Research Organization:
Institute for Advanced Study, Princeton (United Kingdom)
Sponsoring Organization:
USDOE
Grant/Contract Number:
SC0009988
OSTI ID:
1454739
Journal Information:
Journal of High Energy Physics (Online), Vol. 2014, Issue 10; ISSN 1029-8479
Publisher:
Springer BerlinCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 13 works
Citation information provided by
Web of Science

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Cited By (2)

Aspects of Defects in 3d-3d Correspondence text January 2015
Symmetry enhancement and closing of knots in 3d/3d correspondence text January 2018

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