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arXiv · 1512.08533

Quiver W-algebras

Taro Kimura·Vasily Pestun
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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.

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BibTeXRIS

Taro Kimura, Vasily Pestun. 2018-03-20. Quiver W-algebras. https://doi.org/10.1007/s11005-018-1072-1

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