\( \mathcal{N}=2 \) gauge theories on toric singularities, blow-up formulae and \(W\)-algebrae

DOI10.1007/JHEP01(2013)014zbMath1342.81263arXiv1208.0790OpenAlexW3105873051MaRDI QIDQ302529

Alessandro Tanzini, Giulio Bonelli, Futoshi Yagi, Kazunobu Maruyoshi

Publication date: 12 August 2016

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

Full work available at URL: https://arxiv.org/abs/1208.0790

zbMATH Keywords

nonperturbative effectsconformal and W symmetryextended supersymmetrysupersymmetric effective theories

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Supersymmetric field theories in quantum mechanics (81T60) Global theory and resolution of singularities (algebro-geometric aspects) (14E15) Yang-Mills and other gauge theories in quantum field theory (81T13)

Related Items (27)

The stringy instanton partition function ⋮ From rarefied elliptic beta integral to parafermionic star-triangle relation ⋮ Scheme dependence of instanton counting in ALE spaces ⋮ Comments on fusion matrix in \(\mathbf{N} = 1\) super Liouville field theory ⋮ Exact results for \( \mathcal{N} =2\) supersymmetric gauge theories on compact toric manifolds and equivariant Donaldson invariants ⋮ \( \mathcal{N}=2 \) supersymmetric gauge theories on \(S^{2} \times S^{2}\) and Liouville gravity ⋮ \(\mathcal{N} = 2\) gauge theories, instanton moduli spaces and geometric representation theory ⋮ Curve counting, instantons and McKay correspondences ⋮ ADHM in \(8d\), coloured solid partitions and Donaldson-Thomas invariants on orbifolds ⋮ A brief review of the 2d/4d correspondences ⋮ General modular quantum dilogarithm and beta integrals ⋮ Framed sheaves on root stacks and supersymmetric gauge theories on ALE spaces ⋮ The ADHM-like constructions for instantons on \(\mathbb{CP}^2\) and three-dimensional gauge theories ⋮ AGT/\({\mathbb{Z}}_2\) ⋮ Framed sheaves on projective stacks ⋮ BPS relations from spectral problems and blowup equations ⋮ \(\mathcal N=2\) quiver gauge theories on A-type ALE spaces ⋮ Comments on chiral algebras and \(\Omega\)-deformations ⋮ A Review on Instanton Counting and W-Algebras ⋮ Coset conformal field theory and instanton counting on \(\mathbb{C}^{2}/\mathbb{Z}_{p}\) ⋮ Instantons from blow-up ⋮ Gauge theories on compact toric manifolds ⋮ VOA[M4] ⋮ Quantum black holes, elliptic genera and spectral partition functions ⋮ New quantum toroidal algebras from 5D \(\mathcal{N} = 1\) instantons on orbifolds ⋮ A slow review of the AGT correspondence ⋮ AGT relations for abelian quiver gauge theories on ALE spaces

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