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

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.
Authors:
 [1] ;  [1]
  1. Institute for Advanced Study, Princeton (United Kingdom). School of Natural Sciences
Publication Date:
Grant/Contract Number:
SC0009988
Type:
Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2014; Journal Issue: 10; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Research Org:
Institute for Advanced Study, Princeton (United Kingdom)
Sponsoring Org:
USDOE
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; Supersymmetric gauge theory; Extended Supersymmetry; Brane Dynamics in Gauge Theories
OSTI Identifier:
1454739

Xie, Dan, and Yonekura, Kazuya. The moduli space of vacua of $ \mathcal{N}=2 $ class $ \mathcal{S} $ theories. United States: N. p., Web. doi:10.1007/JHEP10(2014)134.
Xie, Dan, & Yonekura, Kazuya. The moduli space of vacua of $ \mathcal{N}=2 $ class $ \mathcal{S} $ theories. United States. doi:10.1007/JHEP10(2014)134.
Xie, Dan, and Yonekura, Kazuya. 2014. "The moduli space of vacua of $ \mathcal{N}=2 $ class $ \mathcal{S} $ theories". United States. doi:10.1007/JHEP10(2014)134. https://www.osti.gov/servlets/purl/1454739.
@article{osti_1454739,
title = {The moduli space of vacua of $ \mathcal{N}=2 $ class $ \mathcal{S} $ theories},
author = {Xie, Dan and Yonekura, Kazuya},
abstractNote = {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.},
doi = {10.1007/JHEP10(2014)134},
journal = {Journal of High Energy Physics (Online)},
number = 10,
volume = 2014,
place = {United States},
year = {2014},
month = {10}
}