The ABCDEFG of Instantons and W-algebras
High Energy Physics - Theory
2023-03-07 v4
Abstract
For arbitrary gauge groups, we check at the one-instanton level that the Nekrasov partition function of pure N=2 super Yang-Mills is equal to the norm of a certain coherent state of the corresponding W-algebra. For non-simply-laced gauge groups, we confirm in particular that the coherent state is in the twisted sector of a simply-laced W-algebra.
Keywords
Cite
@article{arxiv.1111.5624,
title = {The ABCDEFG of Instantons and W-algebras},
author = {Christoph A. Keller and Noppadol Mekareeya and Jaewon Song and Yuji Tachikawa},
journal= {arXiv preprint arXiv:1111.5624},
year = {2023}
}
Comments
30 pages, 2 figures, v4: a reference added