### 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.

Original language | English |
---|---|

Pages (from-to) | 1-31 |

Number of pages | 31 |

Journal | Letters in Mathematical Physics |

DOIs | |

Publication status | Accepted/In press - 2018 Mar 21 |

### Keywords

- Conformal field theories
- instanton
- Quantum groups
- Quiver
- Supersymmetric gauge theories
- W-algebras

### ASJC Scopus subject areas

- Statistical and Nonlinear Physics
- Mathematical Physics

## Fingerprint Dive into the research topics of 'Quiver W-algebras'. Together they form a unique fingerprint.

## Cite this

Kimura, T., & Pestun, V. (Accepted/In press). Quiver W-algebras.

*Letters in Mathematical Physics*, 1-31. https://doi.org/10.1007/s11005-018-1072-1