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On O(N_c) d=3 N=2 supersymmetric QCD Theories

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arxiv 1109.5081 v2 pith:23G3R5RR submitted 2011-09-23 hep-th

classification hep-th
keywords dualitygaugetheoriesmodulispacetheorytherechern-simons
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We study three dimensional N=2 supersymmetric QCD theories with O(N_c) gauge groups and with N_f chiral multiplets in the vector representation. We argue that for N_f < N_c-2 there is a runaway potential on the moduli space and no vacuum. For N_f >= N_c-2 there is a moduli space also in the quantum theory, and for N_f >= N_c-1 there is a superconformal fixed point at the origin of this moduli space that has a dual description as the low-energy fixed point of an O(N_f-N_c+2) gauge theory. We test this duality in various ways; in some cases the duality for an O(2) gauge theory may be related to the known duality for U(1) gauge theories. We also discuss real mass deformations, which allow to connect theories with a different Chern-Simons level. This allows us to connect our duality with the known duality in O(N_c) theories with a Chern-Simons term of level k, where the dual gauge group is given by O(N_f+|k|-N_c+2).

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  1. Rank-two tensors and deconfinement in 3d $\mathcal{N}=2$ $SU(N)$ gauge theories

    hep-th 2025-04 conditional novelty 7.0 of 10

    The authors derive confining dualities for 3d SU(N) theories with two antisymmetric tensors (nf+na=4) and for symmetric-tensor theories with monopole superpotentials, using tensor deconfinement and duplication identities.

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