A finite analog of the AGT relation. I: Finite $W$-algebras and quasimaps' spaces

DOI10.1007/s00220-011-1300-3zbMath1247.81169arXiv1008.3655OpenAlexW3105198505MaRDI QIDQ652263

Leonid Rybnikov, Alexander Braverman, Michael Finkelberg, Boris L. Feigin

Publication date: 14 December 2011

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1008.3655

zbMATH Keywords

$W$-algebras quasi-maps' spaces

Mathematics Subject Classification ID

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) Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies) (14F43) Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory) (14D21)

Related Items

The stringy instanton partition function, Affine super Yangians and rectangular W-superalgebras, M2-brane surface operators and gauge theory dualities in Toda, 3d $ \mathcal{N} =2$ mirror symmetry, pq-webs and monopole superpotentials, The surjectivity of the evaluation map of the affine super Yangian, Cherednik algebras, $W$-algebras and the equivariant cohomology of the moduli space of instantons on $\mathbb A^2$, Mirror symmetry and line operators, Construction of the affine super Yangian, Instanton partition functions in $\mathcal{N} = 2$ SU($N$) gauge theories with a general surface operator, and their $\mathcal{W}$-algebra duals, A direct proof of AGT conjecture at {$\beta$} = 1, BFN Springer theory, Shifted quantum groups and matter multiplets in supersymmetric gauge theories, Blowups in BPS/CFT correspondence, and Painlevé VI, Instanton counting with a surface operator and the chain-saw quiver, Three-dimensional \cN=4 gauge theories in omega background, Norm of logarithmic primary of Virasoro algebra, From SO/Sp instantons to W-algebra blocks, On W-algebras and the symmetries of defects of 6d $\mathcal{N} = \left( {2,0} \right)$ theory, Elliptic lift of the Shiraishi function as a non-stationary double-elliptic function, Multiplicative Slices, Relativistic Toda and Shifted Quantum Affine Algebras, Macdonald topological vertices and brane condensates, NILPOTENT ORBITS AND CODIMENSION-2 DEFECTS OF 6d${\mathcal N} = (2, 0)$ THEORIES, Reconstructing GKZ via topological recursion, A Review on Instanton Counting and W-Algebras, $ \mathcal{N} = 2 $ superconformal blocks and instanton partition functions, Vertices, vortices \& interacting surface operators, 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, Coproduct for affine Yangians and parabolic induction for rectangular $W$-algebras, On a complete solution of the quantum Dell system, Algebras, traces, and boundary correlators in $\mathcal{N} = 4$ SYM, Frobenius splitting of Schubert varieties of semi-infinite flag manifolds, Quiver Yangian and supersymmetric quantum mechanics, Parafermionic Liouville field theory and instantons on ALE spaces, On the six-dimensional origin of the AGT correspondence, Engineering 3D $\mathcal{N} = 2$ theories using the quantum affine $\mathfrak{sl}(2)$ algebra, A slow review of the AGT correspondence

Cites Work

A finite analog of the AGT relation. I: Finite \(W\)-algebras and quasimaps' spaces