Preprint

PUBDB-2025-01506

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Rank-two tensors and deconfinement in 3d $\mathcal{N} = 2$ $SU (N )$ gauge theories

Amariti, A. ; Mantegazza, F. (Corresponding author)DESY* ; Rota, S.

2025

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Please use a persistent id in citations: doi:10.3204/PUBDB-2025-01506

Report No.: DESY-25-071; arXiv:2504.21654

Abstract: In this paper we study the IR dynamics of $SU(N)$ gauge theories with four supercharges in 3d in presence of symmetric or antisymmetric tensor. Using the tensor deconfinement technique we provide some proofs of results previously claimed in the literature about confining dualities for $SU(N)$ with two antisymmetric tensors.Furthermore we study 3d confining dualities with symmetric tensors and linear monopole superpotentials.These confining dualities have been obtained by applying the duplication formula for the hyperbolic Gamma functions on effective dualities on $\mathbb{R}^{1,2} \times S^1$ with $SU(N)$ gauge groups and antisymmetric tensors. We conclude the analysis providing an alternative derivation, again using the tensor deconfinement technique.

Note: 57 pages, 9 figures

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Contributing Institute(s):

1. Theorie-Gruppe (T)

Research Program(s):

1. 611 - Fundamental Particles and Forces (POF4-611) (POF4-611)
2. DFG project G:(GEPRIS)506632645 - SFB 1624: Höhere Strukturen, Modulräume und Integrabilität (506632645) (506632645)

Experiment(s):

1. No specific instrument

Appears in the scientific report 2025

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Database coverage:

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