Abstract
We propose new classes of 4d \( \mathcal{N} \) = 1 S-confining gauge theories, with a simple gauge group, rank-two matter and cubic superpotentials. The gauge group can be symplectic, orthogonal or special unitary. In some cases we derive the dualities via the deconfinement technique that uses iteratively known, more fundamental, dualities. In the symplectic case we discuss the 3d reduction to a confining unitary gauge theory with monopole superpotential. This 3d S-confinement provides an understanding of a recently proposed 4d \( \mathcal{N} \) = 1 theory that flows to the conformal manifold of \( \mathcal{N} \) = 4 SYM with SU(2n + 1) gauge group. The 3d perspective allows us to generalize this construction to another similar flow with supersymmetry enhancement: a 4d \( \mathcal{N} \) = 1 theory that flows to the conformal manifold of a 4d \( \mathcal{N} \) = 2 necklace theory with SU(2n + 1)3 gauge group.
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Acknowledgments
We would like to thank Lea Bottini, Sara Pasquetti and Shlomo Razamat for useful discussions. MS is also grateful to the Scuola Internazionale Superiore di Studi Avanzati (SISSA) for ospitality when this project was initiated. MS is partially supported by the ERC Consolidator Grant #864828 “Algebraic Foundations of Supersymmetric Quantum Field Theory (SCFTAlg)” and by the Simons Collaboration for the Nonperturbative Bootstrap under grant #494786 from the Simons Foundation. Stephane Bajeot and Sergio Benvenuti are partially supported by the INFN Research Project GAST.
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Bajeot, S., Benvenuti, S. & Sacchi, M. S-confining gauge theories and supersymmetry enhancements. J. High Energ. Phys. 2023, 42 (2023). https://doi.org/10.1007/JHEP08(2023)042
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DOI: https://doi.org/10.1007/JHEP08(2023)042