Infinitely many $$ \mathcal{N}=1 $$ dualities from m + 1  m = 1
Abstract
We discuss two infinite classes of 4d supersymmetric theories, T_{N}^{(m)} and U$$(m)\atop{N}$$, labelled by an arbitrary nonnegative integer, m. The T_{N}^{(m)} theory arises from the 6d, A_{N1} type N=(2,0) theory reduced on a 3punctured sphere, with normal bundle given by line bundles of degree (m + 1, m); the m = 0 case is the N=2 supersymmetric T_{N} theory. The novelty is the negativedegree line bundle. The U$$(m)\atop{N}$$ theories likewise arise from the 6d N=(2,0) theory on a 4punctured sphere, and can be regarded as gluing together two (partially Higgsed) T_{N}^{(m)} theories. The T_{N}^{(m)} and U$$(m)\atop{N}$$ theories can be represented, in various duality frames, as quiver gauge theories, built from T_{N} components via gauging and nilpotent Higgsing. We analyze the RG flow of the U($$(m)\atop{N}$$ theories, and find that, for all integer m > 0, they end up at the same IR SCFT as SU(N) SQCD with 2N flavors and quartic superpotential. The U$$(m)\atop{N}$$ theories can thus be regarded as an infinite set of UV completions, dual to SQCD with N_{f} = 2N _{c}. The U$$(m)\atop{N}$$ duals have different duality frame quiver representations, with 2m + 1 gauge nodes.
 Authors:

 University of California, San Diego, La Jolla, CA (United States). Department of Physics
 Publication Date:
 Research Org.:
 University of California, San Diego, La Jolla, CA (United States). Department of Physics
 Sponsoring Org.:
 USDOE
 OSTI Identifier:
 1434593
 Grant/Contract Number:
 SC0009919
 Resource Type:
 Accepted Manuscript
 Journal Name:
 Journal of High Energy Physics (Online)
 Additional Journal Information:
 Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2015; Journal Issue: 10; Journal ID: ISSN 10298479
 Publisher:
 Springer Berlin
 Country of Publication:
 United States
 Language:
 English
 Subject:
 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; Super symmetric gauge theory; Brane Dynamics in Gauge Theories; Duality in Gauge Field Theories; Renormalization Group
Citation Formats
Agarwal, Prarit, Intriligator, Kenneth, and Song, Jaewon. Infinitely many $ \mathcal{N}=1 $ dualities from m + 1  m = 1. United States: N. p., 2015.
Web. doi:10.1007/JHEP10(2015)035.
Agarwal, Prarit, Intriligator, Kenneth, & Song, Jaewon. Infinitely many $ \mathcal{N}=1 $ dualities from m + 1  m = 1. United States. doi:10.1007/JHEP10(2015)035.
Agarwal, Prarit, Intriligator, Kenneth, and Song, Jaewon. Tue .
"Infinitely many $ \mathcal{N}=1 $ dualities from m + 1  m = 1". United States. doi:10.1007/JHEP10(2015)035. https://www.osti.gov/servlets/purl/1434593.
@article{osti_1434593,
title = {Infinitely many $ \mathcal{N}=1 $ dualities from m + 1  m = 1},
author = {Agarwal, Prarit and Intriligator, Kenneth and Song, Jaewon},
abstractNote = {We discuss two infinite classes of 4d supersymmetric theories, TN(m) and U$(m)\atop{N}$, labelled by an arbitrary nonnegative integer, m. The TN(m) theory arises from the 6d, AN1 type N=(2,0) theory reduced on a 3punctured sphere, with normal bundle given by line bundles of degree (m + 1, m); the m = 0 case is the N=2 supersymmetric TN theory. The novelty is the negativedegree line bundle. The U$(m)\atop{N}$ theories likewise arise from the 6d N=(2,0) theory on a 4punctured sphere, and can be regarded as gluing together two (partially Higgsed) TN(m) theories. The TN(m) and U$(m)\atop{N}$ theories can be represented, in various duality frames, as quiver gauge theories, built from TN components via gauging and nilpotent Higgsing. We analyze the RG flow of the U($(m)\atop{N}$ theories, and find that, for all integer m > 0, they end up at the same IR SCFT as SU(N) SQCD with 2N flavors and quartic superpotential. The U$(m)\atop{N}$ theories can thus be regarded as an infinite set of UV completions, dual to SQCD with Nf = 2N c. The U$(m)\atop{N}$ duals have different duality frame quiver representations, with 2m + 1 gauge nodes.},
doi = {10.1007/JHEP10(2015)035},
journal = {Journal of High Energy Physics (Online)},
number = 10,
volume = 2015,
place = {United States},
year = {2015},
month = {10}
}
Web of Science
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