On Quiver W-algebras and Defects from Gauge Origami

Abstract

In this note, using Nekrasov's gauge origami framework, we study two different versions of the the BPS/CFT correspondence - first, the standard AGT duality and, second, the quiver W algebra construction which has been developed recently by Kimura and Pestun. The gauge origami enables us to work with both dualities simultaneously and find exact matchings between the parameters. In our main example of an A-type quiver gauge theory, we show that the corresponding quiver qW-algebra and its representations are closely related to a large-n limit of spherical gl(n) double affine Hecke algebra whose modules are described by instanton partition functions of a defect quiver theory.

12 pages, 2 figures, typos corrected

References in corpus (4)

• BPS/CFT correspondence II: Instantons at crossroads, Moduli and Compactness Theorem
• Cohomological Hall algebras, vertex algebras and instantons
• Multiplicative Hitchin Systems and Supersymmetric Gauge Theory
• A Family of ${\mathrm{GL}}_r$ Multiplicative Higgs Bundles on Rational Base

Cited by in corpus (7)

• A slow review of the AGT correspondence
• On Extensions of $\widehat{\mathfrak{gl}(m|n)}$ Kac-Moody algebras and Calabi-Yau Singularities
• Quantum Elliptic Calogero-Moser Systems from Gauge Origami
• Cohomological Hall algebras and perverse coherent sheaves on toric Calabi-Yau 3-folds
• Quiver ${\text{W}}_{{\epsilon }_1,{\epsilon }_2}$ algebras of 4d $\mathcal{N}=2$ gauge theories
• Crystals and Double Quiver Algebras from Jeffrey-Kirwan Residues
• An Overview of Crystals and Double Quiver Yangians