Twisted reduction of quiver W-algebras

Abstract

We consider the $k$-twisted Nekrasov-Shatashvili limit (NS${}_k$ limit) of 5d (K-theoretic) and 6d (elliptic) quiver gauge theory, where one of the multiplicative equivariant parameters is taken to be the $k$-th root of unity. We obtain the extended center of the associated $q$-deformed quiver W-algebras constructed by our formalism [arXiv:1512.08533; arXiv:1608.04651; arXiv:1705.04410], which provides gauge theoretic proof of Bouwknegt-Pilch's statement on the relation to the representation ring of quantum affine algebra.

arXiv comment25 pages

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Cited by in corpus (3)

• A slow review of the AGT correspondence
• Quantum toroidal algebras and solvable structures in gauge/string theory
• Quantum Representation of Affine Weyl Groups and Associated Quantum Curves