Nekrasov and Argyres-Douglas theories in spherical Hecke algebra representation

DOI10.1016/j.nuclphysb.2017.03.012zbMath1361.81098arXiv1608.05027OpenAlexW2526471492MaRDI QIDQ529296

Chaiho Rim, Hong Zhang

Publication date: 18 May 2017

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

Full work available at URL: https://arxiv.org/abs/1608.05027

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08) Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Yang-Mills and other gauge theories in quantum field theory (81T13) Representations of quivers and partially ordered sets (16G20) Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory) (14D21)

Related Items (3)

Argyres-Douglas theories, S-duality and AGT correspondence ⋮ Argyres-Douglas theories and Liouville irregular states ⋮ A slow review of the AGT correspondence

Cites Work

• Parametric dependence of irregular conformal block
• \(\mathcal{W}_3 \) irregular states and isolated \( \mathcal{N}=2 \) superconformal field theories
• Virasoro irregular conformal block and beta deformed random matrix model
• Penner type matrix model and Seiberg-Witten theory
• Cherednik algebras, \(W\)-algebras and the equivariant cohomology of the moduli space of instantons on \(\mathbb A^2\)
• New phenomena in \(\text{SU}(3)\) supersymmetric gauge theory
• Irregular conformal block, spectral curve and flow equations
• Spherical Hecke algebra in the Nekrasov-Shatashvili limit
• Virasoro constraint for Nekrasov instanton partition function
• Irregular singularities in Liouville theory and Argyres-Douglas type gauge theories
• New \(N = 2\) superconformal field theories in four dimensions
• Integrable structure, W-symmetry and AGT relation
• Liouville correlation functions from four-dimensional gauge theories
• Wild quiver gauge theories
• Whittaker pairs for the Virasoro algebra and the Gaiotto-Bonelli-Maruyoshi-Tanzini states
• Coherent states in quantum $\mathcal{W}_{1+\infty}$ algebra and qq-character for 5d super Yang–Mills
• Quantum groups and quantum cohomology

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