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

Itoyama, Hiroshi; Yano, Katsuya

doi:10.48550/arxiv.2103.11428

Cited by 2 publications

(8 citation statements)

References 46 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The scaling behavior of the perturbed couplings is determined. The obtained perturbed potential is consistent with the form of the scaling operators constructed in [35]. The analysis of [35] shows that the dimensions of the scaling operators agree with those of the parameters of the SW curve.…”

Section: Introductionsupporting

confidence: 75%

“…The obtained perturbed potential is consistent with the form of the scaling operators constructed in [35]. The analysis of [35] shows that the dimensions of the scaling operators agree with those of the parameters of the SW curve. Here, we determine more explicitly how the perturbed couplings of the unitary model are related to the parameters in the SW curve.…”

Section: Introductionsupporting

confidence: 75%

“…Recently, the unitary matrix models have attracted renewed interest in the context of matrix model/gauge theory correspondence [31,32,33,34,35,36]. (See also [37,38,39,40,40,41,42,43,44,45,46,47,48,49,50,51,52,53] for correspondence between more general matrix models and supersymmetric gauge theories.)…”

Section: Introductionmentioning

confidence: 99%

“…Its k-th multi-critical point [6,8] is related to the type (A 1 , A 4k−1 ) Argyres-Douglas (AD) superconformal fixed point [56,57] of the supersymmetric theory. In [31,32,33,35], it is shown that the limit to the AD point of the gauge theory can be described by the double scaling limit to the multi-critical point in the unitary matrix model 1 .…”

Section: Introductionmentioning

confidence: 99%

“…In [35], perturbations around the k-th critical point and its double scaling limit are studied by using the method of orthogonal polynomials [60,61,7,8]. Using the planar string equations, the scaling operators are determined.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Perturbation of multi-critical unitary matrix models, double scaling limits, and Argyres-Douglas theories

Oota

2021

Preprint

View full text Add to dashboard Cite

Using the saddle point method, we give an explicit form of the planar free energy and Wilson loops of unitary matrix models in the one-cut regime. The multi-critical unitary matrix models are shown to undergo third-order phase transitions at two points by studying the planar free energy. One of these ungapped/gapped phase transitions is multi-critical, while the other is not multi-critical.The spectral curve of the k-th multi-critical matrix model exhibits an A 4k−1 singularity at the multi-critical point. Perturbation around the multi-critical point and its double scaling limit are studied. In order to take the double scaling limit, the perturbed coupling constants should be finetuned such that all the zero points of the spectral curve approach to the A 4k−1 singular point. The fine-tuning is examined in the one-cut regime, and the scaling behavior of the perturbed couplings is determined. It is shown that the double scaling limit of the spectral curve is isomorphic to the Seiberg-Witten curve of the Argyres-Douglas theory of type (A 1 , A 4k−1 ).

show abstract

Section: Introductionsupporting

confidence: 75%

Section: Introductionsupporting

confidence: 75%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Perturbation of multi-critical unitary matrix models, double scaling limits, and Argyres-Douglas theories

Oota

2021

Preprint

View full text Add to dashboard Cite

show abstract

Construction of irregular conformal/W block and flavor mass relations of $\mathcal{N}=2$ SUSY gauge theory from the $A_{n-1}$ quiver matrix model

Itoyama¹,

Oota²,

Yoshioka³

2022

Preprint

View full text Add to dashboard Cite

A sequence of massive scaling limits of the β-deformed A n−1 quiver matrix model that keeps the size of the matrices finite and that corresponds to the N f = 2n → 2n − 1, 2n − 2 limits on the number of flavors at 4d su(n) N = 2 SUSY gauge theory side is carried out to provide us with the integral representation of su(n) irregular conformal/W block. The original paths are naturally deformed into those in the complex plane, permitting us to convert into an su(n) extension of the unitary matrix model of GWW type with a set of log potentials for all species of eigenvalues. Looking at the region in the parameter space that enjoys the maximal symmetry of the model, we derive a set of relations among the mass parameters which may serve as evidence for the existence of the Argyres-Douglas critical hypersurface.

show abstract

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

Cited by 2 publications

References 46 publications

Perturbation of multi-critical unitary matrix models, double scaling limits, and Argyres-Douglas theories

Perturbation of multi-critical unitary matrix models, double scaling limits, and Argyres-Douglas theories

Construction of irregular conformal/W block and flavor mass relations of $\mathcal{N}=2$ SUSY gauge theory from the $A_{n-1}$ quiver matrix model

Contact Info

Product

Resources

About