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On s-confinement in 3d $\mathcal{N}=2$ gauge theories with anti-symmetric tensors

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arxiv 1906.03908 v1 pith:O37NWLPH submitted 2019-06-10 hep-th

classification hep-th
keywords s-confinementgaugephasesanti-symmetriccoulombmathcaltensorstheories
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abstract

We elaborate on s-confinement phases in three-dimensional $\mathcal{N}=2$ supersymmetric gauge theory, especially focusing on the $SU(N)$ and $USp(2N)$ gauge theories with anti-symmetric tensors and (anti-)fundamental matters. This will elucidate a quantum structure of the Coulomb moduli space of vacua. We stress the importance of so-called dressed Coulomb branch operators for describing these s-confinement phases. The 3d s-confinement phases are highly richer than the 4d ones since there is no chiral anomaly constraint on the matter contents.

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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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