Abstract
It was recently proposed that \( \mathcal{N} \) = 1 supersymmetric gauged matrix models have a duality of order four — that is, a quadrality — reminiscent of infrared dualities of SQCD theories in higher dimensions. In this note, we show that the zero-dimensional quadrality proposal can be inferred from the two-dimensional Gadde-Gukov-Putrov triality. We consider two-dimensional \( \mathcal{N} \) = (0, 2) SQCD compactified on a sphere with the half-topological twist. For a convenient choice of R-charge, the zero-mode sector on the sphere gives rise to a simple \( \mathcal{N} \) = 1 gauged matrix model. Triality on the sphere then implies a triality relation for the supersymmetric matrix model, which can be completed to the full quadrality.
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Closset, C., Ghim, D. & Seong, RK. Supersymmetric gauged matrix models from dimensional reduction on a sphere. J. High Energ. Phys. 2018, 26 (2018). https://doi.org/10.1007/JHEP05(2018)026
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DOI: https://doi.org/10.1007/JHEP05(2018)026