Double quantization of Seiberg-Witten geometry and W-algebras
High Energy Physics - Theory
2018-11-20 v2 Quantum Algebra
Representation Theory
Abstract
We show that the double quantization of Seiberg-Witten spectral curve for -quiver gauge theory defines the generating current of W-algebra in the free field realization. We also show that the partition function is given as a correlator of the corresponding W-algebra, which is equivalent to the AGT relation under the gauge/quiver (spectral) duality.
Keywords
Cite
@article{arxiv.1612.07590,
title = {Double quantization of Seiberg-Witten geometry and W-algebras},
author = {Taro Kimura},
journal= {arXiv preprint arXiv:1612.07590},
year = {2018}
}
Comments
31 pages, contribution to proceedings for 2016 von Neumann Symposium on Topological Recursion and its Influence in Analysis, Geometry, and Topology, 4-8 July 2016, Charlotte, NC; typos corrected, refs. updated