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arXiv · 2411.10747

Phases and triple(multiple) point: critical phenomena around the AD singularity

Hiroshi Itoyama·Reiji Yoshioka
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Abstract

Continuing with our previous series of work, we present a case study of the critical phenomena around Argyres-Douglas singularity of ${\cal N} =2$ susy made at $(A_1, A_{4k-1} ), k =1, 2$ realized by one-unitary matrix model. We determine the phase diagram, which is recast into LEEA of $\mathcal{N}=2$, 4d gauge theory by the 0d-4d connection. There are three distinct phases, each corresponding to an eigenvalue distribution with 0, 1, and 2 gaps. These form an entire phase diagram with a triple point. Examining the behavior of the planar free energy, we show, among other things,that the transition line between 1- and 2-gap phases ending at the triple point is the $k=2$ multicritical one.

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Hiroshi Itoyama, Reiji Yoshioka. 2024-11-16. Phases and triple(multiple) point: critical phenomena around the AD singularity. https://arxiv.org/abs/2411.10747

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