Virasoro constraint for Nekrasov instanton partition function

DOI10.1007/JHEP10(2012)097zbMath1397.81156arXiv1207.5658OpenAlexW2078479223MaRDI QIDQ1796042

Hong Zhang, Yutaka Matsuo, Shoichi Kanno

Publication date: 16 October 2018

Published in: Journal of High Energy Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1207.5658

zbMATH Keywords

duality in gauge field theoriesconformal and W symmetry

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Yang-Mills and other gauge theories in quantum field theory (81T13) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10)

Related Items (10)

Towards \(\mathcal{R}\)-matrix construction of Khovanov-Rozansky polynomials I. Primary \(T\)-deformation of HOMFLY ⋮ Explicit examples of DIM constraints for network matrix models ⋮ 2d partition function in \(\Omega\)-background and vortex/instanton correspondence ⋮ Towards the proof of AGT relations with the help of the generalized Jack polynomials ⋮ Notes on Mayer expansions and matrix models ⋮ A note on the algebraic engineering of 4D \(\mathcal{N} = 2\) super Yang-Mills theories ⋮ Nekrasov and Argyres-Douglas theories in spherical Hecke algebra representation ⋮ A Review on Instanton Counting and W-Algebras ⋮ A slow review of the AGT correspondence ⋮ Confinement and Mayer cluster expansions

Cites Work

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• Cherednik algebras, \(W\)-algebras and the equivariant cohomology of the moduli space of instantons on \(\mathbb A^2\)
• Nonlinear W\({}_{\infty}\) as asymptotic symmetry of three-dimensional higher spin AdS gravity
• A direct proof of AGT conjecture at {\(\beta\)} = 1
• Quantum \(\mathcal{W}\)-symmetry in AdS\({}_{3}\)
• Conformal blocks in Virasoro and W theories: Duality and the Calogero-Sutherland model
• AGT conjecture and integrable structure of conformal field theory for \(c=1\)
• Method of generating q-expansion coefficients for conformal block and \({\mathcal N}=2\) Nekrasov function by \(\beta \)-deformed matrix model
• Check of AGT relation for conformal blocks on sphere
• On combinatorial expansion of the conformal blocks arising from AGT conjecture
• (de)tails of Toda CFT
• The \(\tau\)-function of the Kadomtsev-Petviashvili equation. Transformation groups for soliton equations. I
• Vertex operators and \(\tau\)-functions. Transformation groups for soliton equations. II
• Transformation groups of soliton equations. IV: A new hierarchy of soliton equations of KP-type
• Quasi-periodic solutions of the orthogonal KP equation. Translation groups for soliton equations. V
• Transformation groups for soliton equations. Euclidean Lie algebras and reduction of the KP hierarchy
• Infinite dimensional Grassmannian structure of two-dimensional quantum gravity
• Stable hierarchical quantum Hall fluids as \(W_{1+\infty}\) minimal models
• \({\mathcal W}_{1+\infty}\) and \({\mathcal W}(gl_ N)\) with central charge \(N\)
• On AGT relation in the case of \(U(3)\)
• Selberg integral and \(\mathrm{SU}(N)\) AGT conjecture
• Integrable structure, W-symmetry and AGT relation
• Liouville correlation functions from four-dimensional gauge theories
• Quantization of Integrable Systems and Four Dimensional Gauge Theories
• Operator Approach to the Kadomtsev-Petviashvili Equation–Transformation Groups for Soliton Equations III–
• KP Hierarchies of Orthogonal and Symplectic Type–Transformation Groups for Soliton Equations VI–

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