Theory space of one unitary matrix model and its critical behavior associated with Argyres-Douglas theory
| Autor: | Katsuya Yano, Hiroshi Itoyama |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: |
Physics
High Energy Physics - Theory Nuclear and High Energy Physics Logarithm FOS: Physical sciences Astronomy and Astrophysics Unitary matrix Space (mathematics) Atomic and Molecular Physics and Optics Scaling limit High Energy Physics - Theory (hep-th) Critical point (thermodynamics) Trigonometric functions Mathematical physics |
| Popis: | The lowest critical point of one unitary matrix model with cosine plus logarithmic potential is known to correspond with the $(A_1, A_3)$ Argyres-Douglas (AD) theory and its double scaling limit derives the Painlev\'{e} II equation with parameter. Here, we consider the critical points associated with all cosine potentials and determine the scaling operators, their vevs and their scaling dimensions from perturbed string equations at planar level. These dimensions agree with those of $(A_1,A_{4k-1})$ AD theory. Comment: 21 pages, reference added |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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