Quiver W-algebras
High Energy Physics - Theory
2018-05-08 v4 Algebraic Geometry
K-Theory and Homology
Representation Theory
Abstract
For a quiver with weighted arrows we define gauge-theory K-theoretic W-algebra generalizing the definition of Shiraishi et al., and Frenkel and Reshetikhin. In particular, we show that the qq-character construction of gauge theory presented by Nekrasov is isomorphic to the definition of the W-algebra in the operator formalism as a commutant of screening charges in the free field representation. Besides, we allow arbitrary quiver and expect interesting applications to representation theory of generalized Borcherds-Kac-Moody Lie algebras, their quantum affinizations and associated W-algebras.
Cite
@article{arxiv.1512.08533,
title = {Quiver W-algebras},
author = {Taro Kimura and Vasily Pestun},
journal= {arXiv preprint arXiv:1512.08533},
year = {2018}
}
Comments
26 pages; typo corrected, ref. added; minor changes, published version