Virasoro irregular conformal block and beta deformed random matrix model

DOI10.1016/j.physletb.2015.01.003zbMath1345.17017arXiv1411.4453OpenAlexW2053974379MaRDI QIDQ315879

Chaiho Rim, Hong Zhang, Sang-Kwan Choi

Publication date: 26 September 2016

Published in: Physics Letters. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1411.4453

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Virasoro and related algebras (17B68) Supersymmetric field theories in quantum mechanics (81T60) Yang-Mills and other gauge theories in quantum field theory (81T13) Applications of Lie (super)algebras to physics, etc. (17B81) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Random matrices (algebraic aspects) (15B52)

Related Items (9)

Super-spectral curve of irregular conformal blocks ⋮ Irregular conformal block, spectral curve and flow equations ⋮ Classical Virasoro irregular conformal block ⋮ Classical Virasoro irregular conformal block. II ⋮ Irregular conformal blocks, with an application to the fifth and fourth Painlevé equations ⋮ Irregular conformal states and spectral curve: irregular matrix model approach ⋮ Nekrasov and Argyres-Douglas theories in spherical Hecke algebra representation ⋮ Argyres-Douglas theories and Liouville irregular states ⋮ A slow review of the AGT correspondence

Cites Work

• Unnamed Item
• Unnamed Item
• Parametric dependence of irregular conformal block
• \(\mathcal{W}_3 \) irregular states and isolated \( \mathcal{N}=2 \) superconformal field theories
• Penner type matrix model and Seiberg-Witten theory
• A direct proof of AGT conjecture at {\(\beta\)} = 1
• Method of generating q-expansion coefficients for conformal block and \({\mathcal N}=2\) Nekrasov function by \(\beta \)-deformed matrix model
• The Selberg-Jack symmetric functions
• Monopoles, duality and chiral symmetry breaking in \(N=2\) supersymmetric QCD
• Matrix models for irregular conformal blocks and Argyres-Douglas theories
• Irregular singularities in Liouville theory and Argyres-Douglas type gauge theories
• Some combinatorial properties of Jack symmetric functions
• Electric-magnetic duality, monopole condensation, and confinement in \(N=2\) supersymmetric Yang-Mills theory
• Selberg integral and \(\mathrm{SU}(N)\) AGT conjecture
• Wild quiver gauge theories
• Whittaker pairs for the Virasoro algebra and the Gaiotto-Bonelli-Maruyoshi-Tanzini states
• The importance of the Selberg integral

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