For unitary matrix models with potentials up to cos 3α, the paper infers phase diagrams from classical potential shape and shows beta functions on critical lines are nowhere vanishing, claiming third-order transitions.
A-D hypersurface of $su(n)$ $\mathcal{N}=2$ supersymmetric gauge theory with $N_f = 2n-2$ flavors
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abstract
In the previous letter, arXiv:2210.16738[hep-th], we found a set of flavor mass relations as constraints that the $\beta$-deformed $A_{n-1}$ quiver matrix model restores the maximal symmetry in the massive scaling limit and reported the existence of Argyres-Douglas critical hypersurface. In this letter, we derive the concrete conditions on moduli parameters which maximally degenerates the Seiberg-Witten curve while maintaining the flavor mass relations. These conditions define the A-D hypersurface.
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Notes on phase structure and non-vanishing $\beta$ functions of one-unitary matrix model
For unitary matrix models with potentials up to cos 3α, the paper infers phase diagrams from classical potential shape and shows beta functions on critical lines are nowhere vanishing, claiming third-order transitions.