Quiver elliptic W-algebras

Abstract

We define elliptic generalization of W-algebras associated with arbitrary quiver using the formalism of arXiv:1512.08533 applied to six-dimensional quiver gauge theory compactified on elliptic curve.

20 pages; typo corrected, ref. added; minor changes, published version

References in corpus (3)

• The Refined Topological Vertex
• Ding-Iohara-Miki symmetry of network matrix models
• Explicit examples of DIM constraints for network matrix models

Cited by in corpus (31)

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• A slow review of the AGT correspondence
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• Higgsed network calculus
• Wilson surfaces in M5-branes
• Quantum toroidal algebras and solvable structures in gauge/string theory
• More on topological vertex formalism for 5-brane webs with O5-plane
• Fiber-base duality from the algebraic perspective
• Mixed network calculus
• Intersecting Defects and Supergroup Gauge Theory
• Web Construction of ABCDEFG and Affine Quiver Gauge Theories
• An Elliptic Vertex of Awata-Feigin-Shiraishi type for M-strings
• BPS Hall Algebra of Scattering Hall States
• ABCD of qq-characters
• Quantum integrability from non-simply laced quiver gauge theory
• Topological Vertex/anti-Vertex and Supergroup Gauge Theory
• Integrating over quiver variety and BPS/CFT correspondence
• Gauge origami and quiver W-algebras
• Bethe/Gauge Correspondence for SO/Sp Gauge Theories and Open Spin Chains
• Gauge origami and quiver W-algebras III: Donaldson--Thomas $qq$-characters
• Orthosymplectic Superinstanton Counting and Brane Dynamics
• Engineering 3D $\mathcal{N}=2$ theories using the quantum affine $\mathfrak{sl}(2)$ algebra
• Seiberg-Witten period relations in Omega background
• Crystals and Double Quiver Algebras from Jeffrey-Kirwan Residues
• Quasi-Hopf twist and elliptic Nekrasov factor
• Elliptic deformation of ${\mathcal{W}}_N$-algebras
• Quantum mirror curve of periodic chain geometry
• An Overview of Crystals and Double Quiver Yangians
• Conformal field theory, solitons, and elliptic Calogero--Sutherland models
• Gauge origami and quiver W-algebras IV: Pandharipande--Thomas $qq$-characters