Quiver ${\text{W}}_{{\boldsymbol{{\epsilon}}}_{\mathbf{1}},{\boldsymbol{{\epsilon}}}_{\mathbf{2}}}$ algebras of 4D $\boldsymbol{\mathcal{N}}\mathbf{=}\mathbf{2}$ gauge theories

DOI10.1088/1751-8121/ab9275OpenAlexW2995777739MaRDI QIDQ5060004

Publication date: 17 January 2023

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.09969

zbMATH Keywords

supersymmetric gauge theory Virasoro algebra spectral duality W algebras

Mathematics Subject Classification ID

Quantum theory (81-XX) Statistical mechanics, structure of matter (82-XX)

Related Items (3)

Double quiver gauge theory and BPS/CFT correspondence ⋮ Seiberg-Witten geometry of four-dimensional $\mathcal{N}=2$ quiver gauge theories ⋮ A slow review of the AGT correspondence

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
2d index and surface operators
Holomorphic blocks in three dimensions
Givental $J$-functions, quantum integrable systems, AGT relation with surface operator
Exact Kähler potential from gauge theory and mirror symmetry
Exact results in $D = 2$ supersymmetric gauge theories
On three dimensional quiver gauge theories and integrability
M5-branes, toric diagrams and gauge theory duality
Loop and surface operators in $ \mathcal{N} = 2 $ gauge theory and Liouville modular geometry
Five-dimensional AGT conjecture and the deformed Virasoro algebra
Matrix models for$\beta$-ensembles from Nekrasov partition functions
Vortex counting and Lagrangian 3-manifolds
Correlation functions in conformal Toda field theory. II
Localization of gauge theory on a four-sphere and supersymmetric Wilson loops
Correlation functions in conformal Toda field theory. I
Elliptic genera of two-dimensional ${\mathcal{N} = 2}$ gauge theories with rank-one gauge groups
The Liouville side of the vortex
3d and 5d gauge theory partition functions as $q$-deformed CFT correlators
Affine $sl(N)$ conformal blocks from ${\mathcal N} = 2$ $SU(N)$ gauge theories
On combinatorial expansion of the conformal blocks arising from AGT conjecture
Proving AGT conjecture as HS duality: Extension to five dimensions
Vertex algebras at the corner
Little string origin of surface defects
Quantum hydrodynamics from large-$n$ supersymmetric gauge theories
Seiberg-Witten prepotential from instanton counting
Affine $SL(2)$ conformal blocks from 4d gauge theories
Spectral dualities in XXZ spin chains and five dimensional gauge theories
Electric-magnetic duality and the geometric Langlands program
Laumon spaces and the Calogero-Sutherland integrable system
Action-angle maps and scattering theory for some finite-dimensional integrable systems. I: The pure soliton case
Dual isomonodromic deformations and moment maps to loop algebras
Geometric engineering of quantum field theories
Solutions of four-dimensional field theories via M-theory
Generalization of Drinfeld quantum affine algebras
Mirror symmetry and exact solution of $4D$ $N=2$ gauge theories. I
Issues in topological gauge theory
Erratum: Electric-magnetic duality, monopole condensation, and confinement in $N=2$ supersymmetric Yang-Mills theory
Monopoles, duality and chiral symmetry breaking in $N=2$ supersymmetric QCD
Fractional quiver W-algebras
Webs of $\mathcal{W}$-algebras
$ \mathcal{W} $ -symmetry, topological vertex and affine Yangian
Surface operators and separation of variables
Decomposing Nekrasov decomposition
BPS/CFT correspondence: non-perturbative Dyson-Schwinger equations and $qq$-characters
M2-brane surface operators and gauge theory dualities in Toda
Toda 3-point functions from topological strings. II
3d expansions of 5d instanton partition functions
BPS/CFT correspondence. II: Instantons at crossroads, moduli and compactness theorem
Higher spins and Yangian symmetries
Toda theory from six dimensions
A note on the algebraic engineering of 4D $\mathcal{N} = 2$ super Yang-Mills theories
$T[ \mathrm{SU} (N)$ duality webs: mirror symmetry, spectral duality and gauge/CFT correspondences]
BPS/CFT correspondence. IV: Sigma models and defects in gauge theory
Vertices, vortices \& interacting surface operators
$N=4$ dualities
Seiberg-Witten theories on ellipsoids
Addendum: Seiberg-Witten theories on ellipsoids
Integrability and Seiberg-Witten exact solution
Duality, biorthogonal polynomials and multi-matrix models
Excited states of the Calogero-Sutherland model and singular vectors of the $W_N$ algebra
Spectra of tensor products of finite dimensional representations of Yangians
Supersymmetric Yang-Mills theory and integrable systems
A quantum deformation of the Virasoro algebra and the Macdonald symmetric functions
Quantum ${\mathcal W}_ N$ algebras and Macdonald polynomials
Spectral duality between Heisenberg chain and Gaudin model
$S$-duality of boundary conditions in ${\mathcal N}=4$ super Yang-Mills theory
On AGT relation in the case of $U(3)$
Electric-magnetic duality, monopole condensation, and confinement in $N=2$ supersymmetric Yang-Mills theory
D-particle bound states and generalized instantons
Integrating over Higgs branches
On quiver W-algebras and defects from gauge origami
Integrating over quiver variety and BPS/CFT correspondence
A \& B model approaches to surface operators and Toda thoeries
Partition functions of $\mathcal N=(2,2)$ gauge theories on $S^2$ and vortices
Liouville correlation functions from four-dimensional gauge theories
New dualities of supersymmetric gauge theories
$q$-Virasoro modular double and 3d partition functions
Quantum geometry and quiver gauge theories
BPS/CFT correspondence. III: Gauge origami partition function and $qq$-characters
Fiber-base duality from the algebraic perspective
Elliptic genera of 2d $\mathcal N = 2$ gauge theories
Defects and quantum Seiberg-Witten geometry
Generalized Macdonald polynomials, spectral duality for conformal blocks and AGT correspondence in five dimensions
Toda 3-point functions from topological strings
Exact results for boundaries and domain walls in 2d supersymmetric theories
2d partition function in $\Omega$-background and vortex/instanton correspondence
Dual moment maps into loop algebras
Five dimensional gauge theories and vertex operators
Bispectral commutative ordinary differential operators.
Quantum Integrability and Supersymmetric Vacua
REFINED BPS STATE COUNTING FROM NEKRASOV'S FORMULA AND MACDONALD FUNCTIONS
A (q,γ) analog of the W1+∞ algebra
Quantum KZ equation with |q| = 1 and correlation functions of theXXZmodel in the gapless regime
Introduction to Random Matrices
Quantum $q$-Langlands Correspondence
Duality in integrable systems and gauge theories

This page was built for publication: Quiver ${\text{W}}_{{\boldsymbol{{\epsilon}}}_{\mathbf{1}},{\boldsymbol{{\epsilon}}}_{\mathbf{2}}}$ algebras of 4D $\boldsymbol{\mathcal{N}}\mathbf{=}\mathbf{2}$ gauge theories