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

Itoyama, Hiroshi; Yoshioka, Reiji

doi:10.1016/j.nuclphysb.2024.116765

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

Hiroshi Itoyama
(
- Osaka City U. and
- OCAMI, Osaka
)
,
Reiji Yoshioka
(
- Osaka City U. and
- OCAMI, Osaka
)

Nov 16, 2024

16 pages

Published in:

Nucl.Phys.B 1010 (2025) 116765

Published: Dec 5, 2024

e-Print:

2411.10747 [hep-th]

DOI:

10.1016/j.nuclphysb.2024.116765 (publication)

Report number:

NITEP 228

View in:

ADS Abstract Service

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Abstract: (Elsevier B.V.)

Continuing with our previous series of work, we present a case study of the critical phenomena around Argyres-Douglas singularity of

N = 2

susy made at

(A_{1}, A_{4 k - 1}), k = 1, 2

realized by one-unitary matrix model. We determine the phase diagram, which is recast into LEEA of

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.

Note:

16 pages, 7 figures

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Figures(7)

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