Abstract
Motivated by the BPS/CFT correspondence, we explore the similarities be- tween the classical β-deformed Hermitean matrix model and the q-deformed matrix models associated to 3d \( \mathcal{N} \) = 2 supersymmetric gauge theories on D2 ×q S1 and \( {S}_b^3 \) by matching parameters of the theories. The novel results that we obtain are the correlators for the models, together with an additional result in the classical case consisting of the W -algebra representation of the generating function. Furthermore, we also obtain surprisingly simple expressions for the expectation values of characters which generalize previously known results.
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Cassia, L., Lodin, R. & Zabzine, M. On matrix models and their q-deformations. J. High Energ. Phys. 2020, 126 (2020). https://doi.org/10.1007/JHEP10(2020)126
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DOI: https://doi.org/10.1007/JHEP10(2020)126