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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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 |
work_keys_str_mv |
AT keitanii dualityandconfinementin3dn2chiralsungaugetheories |
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1725284968551153664 |