• 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… 
Argyres-Douglas theories and Liouville irregular states
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
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
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
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
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
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
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
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
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
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
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
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
New Phenomena in SU(3) Supersymmetric Gauge Theory
The O(n) model on a random surface: critical points and large-order behaviour
...
...