# Fractional quiver W-algebras

## TL;DR

This paper introduces fractional quiver W-algebras derived from non-simply-laced quiver gauge theories, expanding the mathematical framework of W-algebras using fractional quiver representations.

## Contribution

It defines fractional quiver W-algebras based on non-simply-laced quivers, extending existing constructions to fractional cases.

## Key findings

- New class of fractional quiver W-algebras introduced
- Framework connects non-simply-laced quivers with W-algebras
- Extends previous algebraic constructions to fractional quivers

## Abstract

We introduce quiver gauge theory associated with the non-simply-laced type fractional quiver, and define fractional quiver W-algebras by using construction of arXiv:1512.08533 and arXiv:1608.04651 with representation of fractional quivers.