Duality and confinement in 3d N=2 “chiral” SU(N) gauge theories

We study low-energy dynamics of three-dimensional N=2 SU(N) “chiral” gauge theories with F fundamental and F¯ anti-fundamental matters without a Chern–Simons term. Compared to a naive semi-classical analysis of the Coulomb branch, its quantum structure is highly richer than expected due to so-called...

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Main Author: Keita Nii
Format: Article
Language:English
Published: Elsevier 2019-02-01
Series:Nuclear Physics B
Online Access:http://www.sciencedirect.com/science/article/pii/S0550321319300057
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spelling doaj-4ccf5516c1214088b60b7cfee72f2a362020-11-25T00:41:54ZengElsevierNuclear Physics B0550-32132019-02-01939507533Duality and confinement in 3d N=2 “chiral” SU(N) gauge theoriesKeita Nii0Albert Einstein Center for Fundamental Physics, Institute for Theoretical Physics, University of Bern, Sidlerstrasse 5, CH-3012 Bern, SwitzerlandWe study low-energy dynamics of three-dimensional N=2 SU(N) “chiral” gauge theories with F fundamental and F¯ anti-fundamental matters without a Chern–Simons term. Compared to a naive semi-classical analysis of the Coulomb branch, its quantum structure is highly richer than expected due to so-called “dressed” Coulomb branch (monopole) operators. We propose dualities and confinement phases for the “chiral” SU(N) theories. The theories with N>F>F¯ exhibit spontaneous supersymmetry breaking. The very many Coulomb branch operators generally remain exactly massless and are non-trivially mapped under the dualities. Some dualities lead to a novel duality between SU(N) and USp(2N˜) theories. For the 3d N=2 SU(2) gauge theory with 2F doublets, there are generally F+2 “chiral” and “non-chiral” dual descriptions.http://www.sciencedirect.com/science/article/pii/S0550321319300057
collection DOAJ
language English
format Article
sources DOAJ
author Keita Nii
spellingShingle Keita Nii
Duality and confinement in 3d N=2 “chiral” SU(N) gauge theories
Nuclear Physics B
author_facet Keita Nii
author_sort Keita Nii
title Duality and confinement in 3d N=2 “chiral” SU(N) gauge theories
title_short Duality and confinement in 3d N=2 “chiral” SU(N) gauge theories
title_full Duality and confinement in 3d N=2 “chiral” SU(N) gauge theories
title_fullStr Duality and confinement in 3d N=2 “chiral” SU(N) gauge theories
title_full_unstemmed Duality and confinement in 3d N=2 “chiral” SU(N) gauge theories
title_sort duality and confinement in 3d n=2 “chiral” su(n) gauge theories
publisher Elsevier
series Nuclear Physics B
issn 0550-3213
publishDate 2019-02-01
description We study low-energy dynamics of three-dimensional N=2 SU(N) “chiral” gauge theories with F fundamental and F¯ anti-fundamental matters without a Chern–Simons term. Compared to a naive semi-classical analysis of the Coulomb branch, its quantum structure is highly richer than expected due to so-called “dressed” Coulomb branch (monopole) operators. We propose dualities and confinement phases for the “chiral” SU(N) theories. The theories with N>F>F¯ exhibit spontaneous supersymmetry breaking. The very many Coulomb branch operators generally remain exactly massless and are non-trivially mapped under the dualities. Some dualities lead to a novel duality between SU(N) and USp(2N˜) theories. For the 3d N=2 SU(2) gauge theory with 2F doublets, there are generally F+2 “chiral” and “non-chiral” dual descriptions.
url http://www.sciencedirect.com/science/article/pii/S0550321319300057
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