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Title: 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 non-negative integer, m. The T N (m) theory arises from the 6d, A N-1 type N=(2,0) theory reduced on a 3-punctured 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 negative-degree line bundle. The U$$(m)\atop{N}$$ theories likewise arise from the 6d N=(2,0) theory on a 4-punctured 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:
 [1];  [1];  [1]
  1. 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 1029-8479
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 non-negative integer, m. The TN(m) theory arises from the 6d, AN-1 type N=(2,0) theory reduced on a 3-punctured 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 negative-degree line bundle. The U$(m)\atop{N}$ theories likewise arise from the 6d N=(2,0) theory on a 4-punctured 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}
}

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