The q-AGT-W relations via shuffle algebras
Representation Theory
2017-11-28 v4 High Energy Physics - Theory
Mathematical Physics
Algebraic Geometry
math.MP
Abstract
We construct the action of the q-deformed W-algebra on its level r representation geometrically, using the moduli space of U(r) instantons on the plane and the double shuffle algebra. We give an explicit LDU decomposition for the action of W-algebra currents in the fixed point basis of the level r representation, and prove a relation between the Carlsson-Okounkov Ext operator and intertwiners for the deformed W-algebra. We interpret this result as a q-deformed version of the AGT-W relations.
Keywords
Cite
@article{arxiv.1608.08613,
title = {The q-AGT-W relations via shuffle algebras},
author = {Andrei Neguţ},
journal= {arXiv preprint arXiv:1608.08613},
year = {2017}
}