Abstract
We construct a family of 4d \( \mathcal{N} \) = 1 theories that we call \( {E}_{\rho}^{\sigma } \)[USp(2N)] which exhibit a novel type of 4d IR duality very reminiscent of the mirror duality enjoyed by the 3d \( \mathcal{N} \) = 4 \( {T}_{\rho}^{\sigma } \)[SU(N)] theories. We obtain the \( {E}_{\rho}^{\sigma } \)[USp(2N)] theories from the recently introduced E[USp(2N )] theory, by following the RG flow initiated by vevs labelled by partitions ρ and σ for two operators transforming in the antisymmetric representations of the USp(2N) × USp(2N) IR symmetries of the E[USp(2N)] theory. These vevs are the 4d uplift of the ones we turn on for the moment maps of T[SU(N)] to trigger the flow to \( {T}_{\rho}^{\sigma } \)[SU(N)]. Indeed the E[USp(2N)] theory, upon dimensional reduction and suitable real mass deformations, reduces to the T[SU(N)] theory. In order to study the RG flows triggered by the vevs we develop a new strategy based on the duality webs of the T[SU(N)] and E[USp(2N)] theories.
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Hwang, C., Pasquetti, S. & Sacchi, M. 4d mirror-like dualities. J. High Energ. Phys. 2020, 47 (2020). https://doi.org/10.1007/JHEP09(2020)047
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DOI: https://doi.org/10.1007/JHEP09(2020)047