Abstract
In this paper we give a field theory explanation of two confining dualities that have been proposed in the literature based on exact results from supersymmetric localization. The first confining model under investigation is 4d SU(Nc + 1) SQCD with a conjugate rank-2 anti-symmetric tensor, Nc + 3 anti-fundamentals, 2Nc fundamentals and a superpotential that couples the anti-symmetric tensor and the fundamentals. The second confining model studied here is 3d \( \mathcal{N} \) = 2 USp(4) gauge SQCD with two fundamentals, two rank-2 anti-symmetric tensors and vanishing superpotential. Here we prove that these models are confining by using the technique of deconfining the anti-symmetric tensors and then by flowing to the IR description by sequential dualities. As a bonus the analysis provides (alternative) proofs of the identities obtained from supersymmetric localization.
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Acknowledgments
We are grateful to Sara Pasquetti and Simone Rota for discussions. D.M thanks the Perimeter Institute for Theoretical Physics for the hospitality and the organizers of the “Strings 2023” conference, during which this work has been completed. The work of A.A., D.M. has been supported in part by the Italian Ministero dell’Istruzione, Università e Ricerca (MIUR), in part by Istituto Nazionale di Fisica Nucleare (INFN) through the “Gauge Theories, Strings, Supergravity” (GSS) research project and in part by MIUR-PRIN contract 2017CC72MK-003.
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Amariti, A., Mantegazza, F. & Morgante, D. Sporadic dualities from tensor deconfinement. J. High Energ. Phys. 2024, 188 (2024). https://doi.org/10.1007/JHEP05(2024)188
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DOI: https://doi.org/10.1007/JHEP05(2024)188