Theory space of one unitary matrix model and its critical behavior associated with Argyres-Douglas theory

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 Painleve II equation with parameter. Here, we consider the critical points associated with all cosine potentials and determine the scaling operators, their vacuum expectation values (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.

Automated summary

The study investigates critical points associated with cosine potentials and determines scaling operators, vacuum expectation values, and scaling dimensions at the planar level. These dimensions are found to be consistent with the dimensions of a specific AD theory.