On the six-dimensional origin of the AGT correspondence

DOI10.1007/JHEP02(2012)020zbMath1309.81171arXiv1112.0260MaRDI QIDQ2340666

Junya Yagi

Publication date: 20 April 2015

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

Full work available at URL: https://arxiv.org/abs/1112.0260

zbMATH Keywords

supersymmetric gauge theoryconformal and W symmetry

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Supersymmetric field theories in quantum mechanics (81T60) 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) Spinor and twistor methods applied to problems in quantum theory (81R25) Kaluza-Klein and other higher-dimensional theories (83E15) Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory) (14D21) Formal methods and deformations in algebraic geometry (14D15)

Related Items

The trouble with twisting \((2,0)\) theory ⋮ Off-shell structure of twisted \((2,0)\) theory ⋮ Quiver gauge theories and integrable lattice models ⋮ Compactification on the \(\omega\)-background and the AGT correspondence ⋮ M-theoretic derivations of 4d-2d dualities: from a geometric Langlands duality for surfaces, to the AGT correspondence, to integrable systems ⋮ Constraints in the BV formalism: six-dimensional supersymmetry and its twists ⋮ A slow review of the AGT correspondence

Cites Work

• Unnamed Item
• Unnamed Item
• Gauging spacetime symmetries on the worldsheet and the geometric Langlands program. II
• On AGT conjecture for pure super Yang-Mills and W-algebra
• Super Liouville conformal blocks from \( \mathcal{N} = 2 \) SU(2) quiver gauge theories
• On W-algebras and the symmetries of defects of 6d \(\mathcal{N} = \left( {2,0} \right)\) theory
• Five-branes in M-theory and a two-dimensional geometric Langlands duality
• Framed torsion-free sheaves on \(\mathbb {CP}^2\), Hilbert schemes, and representations of infinite dimensional Lie algebras
• A finite analog of the AGT relation. I: Finite \(W\)-algebras and quasimaps' spaces
• Fivebranes and knots
• Seiberg-Witten prepotential from instanton counting
• Affine \(SL(2)\) conformal blocks from 4d gauge theories
• Supersymmetric boundary conditions in \(\mathcal{N}=4\) super Yang-Mills theory
• Pursuing the double affine Grassmannian. I: Transversal slices via instantons on \(A_k\)-singularities
• Chiral algebras of \((0,2)\) models: Beyond perturbation theory
• Topological quantum field theory
• The relation between quantum \(W\) algebras and Lie algebras
• Solutions of four-dimensional field theories via M-theory
• Infinite conformal algebras in supersymmetric theories on four-manifolds
• Wall-crossing in coupled 2d-4d systems
• Chiral de Rham complex
• Correlators, Feynman diagrams, and quantum no-hair in deSitter spacetime
• On AGT relation in the case of \(U(3)\)
• The omega deformation, branes, integrability and Liouville theory
• Liouville correlation functions from four-dimensional gauge theories
• Toda theory and \({\mathcal W}\)-algebra from a gauged WZNW point of view
• Two-dimensional models with \((0,2)\) supersymmetry: perturbative aspects
• \mathcal {W}-algebras and surface operators in \mathcal {N}=2 gauge theories
• Geometric Langlands From Six Dimensions
• String Theory