Twisted reduction of quiver W-algebras

2019/05/09 by Taro Kimura, Kimura, Taro, Vasily Pestun +1
Mathematics · Physics and Astronomy · #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Quantum Algebra (math.QA) #Representation Theory (math.RT) #hep-th #math-ph #math.MP #math.QA #math.RT

paper · pdf · doi:10.48550/arxiv.1905.03865

25 pages

arxiv created 2019/05/09 · arxiv updated 2019/05/13

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.

Citations

• Quiver W-algebras
• Quiver elliptic W-algebras
• Fractional quiver W-algebras

Related

• Quiver elliptic W-algebras
• Quiver W-algebras
• Elliptic Quantum Toroidal Algebra U_q,t,p(gl_1,tor) and Affine Quiver Gauge Theories
• Affine W-algebras and Miura maps from 3d \mathcal N=4 non-Abelian quiver gauge theories
• Toroidal and Elliptic Quiver BPS Algebras and Beyond