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Title: Seiberg-Witten geometry of four-dimensional N = 2 SO–USp quiver gauge theories

Abstract

We apply the instanton counting method to study a class of four-dimensional N=2 supersymmetric quiver gauge theories with alternating SO and USp gauge groups. We compute the partition function in the Ω-background and express it as functional integrals over density functions. Applying the saddle point method, we derive the limit shape equations which determine the dominant instanton configurations in the flat space limit. The solution to the limit shape equations gives the Seiberg-Witten geometry of the low energy effective theory. As an illustrating example, we work out explicitly the Seiberg-Witten geometry for linear quiver gauge theories. Our result matches the Seiberg-Witten solution obtained previously using the method of brane constructions in string theory.

Authors:
ORCiD logo [1]
  1. Rutgers Univ., Piscataway, NJ (United States)
Publication Date:
Research Org.:
Rutgers Univ., Piscataway, NJ (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1579599
Alternate Identifier(s):
OSTI ID: 1579556
Grant/Contract Number:  
SC0010008
Resource Type:
Published Article
Journal Name:
Physical Review D
Additional Journal Information:
Journal Volume: 100; Journal Issue: 12; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Supersymmetric field theories

Citation Formats

Zhang, Xinyu. Seiberg-Witten geometry of four-dimensional N=2 SO–USp quiver gauge theories. United States: N. p., 2019. Web. doi:10.1103/PhysRevD.100.125015.
Zhang, Xinyu. Seiberg-Witten geometry of four-dimensional N=2 SO–USp quiver gauge theories. United States. doi:10.1103/PhysRevD.100.125015.
Zhang, Xinyu. Tue . "Seiberg-Witten geometry of four-dimensional N=2 SO–USp quiver gauge theories". United States. doi:10.1103/PhysRevD.100.125015.
@article{osti_1579599,
title = {Seiberg-Witten geometry of four-dimensional N=2 SO–USp quiver gauge theories},
author = {Zhang, Xinyu},
abstractNote = {We apply the instanton counting method to study a class of four-dimensional N=2 supersymmetric quiver gauge theories with alternating SO and USp gauge groups. We compute the partition function in the Ω-background and express it as functional integrals over density functions. Applying the saddle point method, we derive the limit shape equations which determine the dominant instanton configurations in the flat space limit. The solution to the limit shape equations gives the Seiberg-Witten geometry of the low energy effective theory. As an illustrating example, we work out explicitly the Seiberg-Witten geometry for linear quiver gauge theories. Our result matches the Seiberg-Witten solution obtained previously using the method of brane constructions in string theory.},
doi = {10.1103/PhysRevD.100.125015},
journal = {Physical Review D},
number = 12,
volume = 100,
place = {United States},
year = {2019},
month = {12}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
DOI: 10.1103/PhysRevD.100.125015

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