Construction of irregular conformal/W block and flavor mass relations of <math altimg="si1.svg"><mi mathvariant="script">N</mi><mo linebreak="goodbreak" linebreakstyle="after">=</mo><mn>2</mn></math> SUSY gauge theory from the An−1 quiver matrix model - INSPIRE

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Construction of irregular conformal/W block and flavor mass relations of $N = 2$ SUSY gauge theory from the An−1 quiver matrix model

Hiroshi Itoyama
(
- Osaka Metropolitan U. and
- OCAMI, Osaka
)
,
Takeshi Oota
(
- Osaka Metropolitan U. and
- OCAMI, Osaka
)
,
Reiji Yoshioka
(
- Osaka Metropolitan U. and
- OCAMI, Osaka
)

Oct 30, 2022

12 pages

Published in:

Phys.Lett.B 841 (2023) 137938

Published: Apr 27, 2023

e-Print:

2210.16738 [hep-th]

DOI:

10.1016/j.physletb.2023.137938 (publication)

Report number:

NITEP 144

View in:

ADS Abstract Service

reference search3 citations

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Abstract: (Elsevier B.V.)

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} = 2 n \to 2 n - 1, 2 n - 2

limits on the number of flavors at 4d

s u (n)

N = 2

SUSY gauge theory side is carried out to provide us with the integral representation of

s u (n)

irregular conformal/W block. The original paths are naturally deformed into those in the complex plane, permitting us to convert into an

s u (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.

Note:

12 pages, 3 figures; v2: published version

matrix model: quiver
gauge field theory: supersymmetry
matrix model: unitarity
flavor
conformal
scaling
deformation

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