• Corpus ID: 119728178

# Irregular conformal block and its matrix model

@article{Rim2012IrregularCB,
title={Irregular conformal block and its matrix model},
author={Chaiho Rim},
journal={arXiv: High Energy Physics - Theory},
year={2012}
}
• C. Rim
• Published 30 October 2012
• Mathematics
• arXiv: High Energy Physics - Theory
Irregular conformal block is a new tool to study Argyres-Douglas theory, whose irregular vector is represented as a simultaneous eigenstate of a set of positive Virasoro generators. One way to find the irregular conformal block is to use the partition function of the \beta-ensemble of hermitian matrix model. So far the method is limited to the case of irregular singularity of even degree. In this letter, we present a new matrix model for the case of odd degree and calculate its partition…
8 Citations
Argyres-Douglas theories and Liouville irregular states
• Mathematics
Journal of High Energy Physics
• 2019
Abstract We study irregular states of rank-two and three in Liouville theory, based on an ansatz proposed by D. Gaiotto and J. Teschner. Using these irregular states, we evaluate asymptotic
KEK-TH-1595 , RIKEN-MP-66 W 3 irregular states and isolated N = 2 superconformal field theories
• Mathematics
• 2013
We explore the proposal that the six-dimensional (2, 0) theory on the Riemann surface with irregular punctures leads to a four-dimensional gauge theory coupled to the isolated N = 2 superconformal
Argyres-Douglas theories, S-duality and AGT correspondence
• Mathematics
• 2020
We propose a Nekrasov-type formula for the instanton partition functions of fourdimensional N = 2 U(2) gauge theories coupled to (A1,D2n) Argyres-Douglas theories. This is carried out by extending
$\beta$-Deformed Matrix Models and 2d/4d Correspondence
We review the $$\beta$$-deformed matrix model approach to the correspondence between four-dimensional $$\mathcal {N}=2$$ gauge theories and two-dimensional conformal field theories. The \(\beta
Argyres-Douglas theories, Painlevé II and quantum mechanics
• Physics
Journal of High Energy Physics
• 2019
A bstractWe show in details that the all order genus expansion of the two-cut Hermitian cubic matrix model reproduces the perturbative expansion of the H1 Argyres-Douglas theory coupled to the Ω
A slow review of the AGT correspondence
Starting with a gentle approach to the AGT correspondence from its 6d origin, these notes provide a wide survey of the literature on numerous extensions of the correspondence. This is the writeup of
${{\mathcal{W}}_3}$ irregular states and isolated $\mathcal{N}=2$ superconformal field theories
• Mathematics
• 2013
A bstractWe explore the proposal that the six-dimensional (2, 0) theory on the Riemann surface with irregular punctures leads to a four-dimensional gauge theory coupled to the isolated $Imperial / TP / 2014 / KM / 01 β-deformed Matrix Models and 2 d / 4 d correspondence • 2015 ## References SHOWING 1-10 OF 14 REFERENCES Matrix models for irregular conformal blocks and Argyres-Douglas theories • Mathematics • 2012 A bstractAs regular conformal blocks describe the$ \mathcal{N} $=2 superconformal gauge theories in four dimensions, irregular conformal conformal blocks are expected to reproduce the instanton Irregular singularities in Liouville theory and Argyres-Douglas type gauge theories • Mathematics • 2012 A bstractMotivated by problems arising in the study of N=2 supersymmetric gauge theories we introduce and study irregular singularities in two-dimensional conformal field theory, here Liouville Wild quiver gauge theories • Mathematics • 2012 A bstractWe study$ \mathcal{N} = {2} $supersymmetric SU(2) gauge theories coupled to non-Lagrangian superconformal field theories induced by compactifying the six dimensional A1 (2,0) theory on Liouville Correlation Functions from Four-Dimensional Gauge Theories • Mathematics • 2010 We conjecture an expression for the Liouville theory conformal blocks and correlation functions on a Riemann surface of genus g and n punctures as the Nekrasov partition function of a certain class β-deformed matrix model and Nekrasov partition function • Mathematics • 2011 A bstractWe study Penner type matrix models in relation with the Nekrasov partition function of four dimensional$ \mathcal{N} = {2} \$, SU(2) supersymmetric gauge theories with NF = 2, 3 and 4. By
Toda Theories, Matrix Models, Topological Strings, and N=2 Gauge Systems
• Mathematics, Physics
• 2009
We consider the topological string partition function, including the Nekrasov deformation, for type IIB geometries with an A_{n-1} singularity over a Riemann surface. These models realize the N=2
Classification of Complete N = 2 Supersymmetric Theories in 4 Dimensions
• Mathematics
• 2011
We define the notion of a complete N = 2 supersymmetric theory in 4 dimensions as a UV complete theory for which all the BPS central charges can be arbitrarily varied as we vary its Coulomb branch