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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| Format: | Article |
| Language: | English |
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Elsevier
2019-02-01
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| Series: | Nuclear Physics B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0550321319300057 |
| Summary: | 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. |
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| ISSN: | 0550-3213 |