Higgsed network calculus
High Energy Physics - Theory
2021-09-16 v3 Mathematical Physics
math.MP
Abstract
We introduce a formalism for describing holomorphic blocks of 3d quiver gauge theories using networks of Ding-Iohara-Miki algebra intertwiners. Our approach is very direct and gives an explicit identification of the blocks with Dotsenko-Fateev type integrals for q-deformed quiver W-algebras. We also explain how quiver theories corresponding to Dynkin diagrams of superalgebras arise, write down the corresponding partition functions and W-algebras, and explain the connection with supersymmetric Macdonald-Ruijsenaars commuting Hamiltonians.
Cite
@article{arxiv.1812.11961,
title = {Higgsed network calculus},
author = {Yegor Zenkevich},
journal= {arXiv preprint arXiv:1812.11961},
year = {2021}
}
Comments
22 pages, v2: typos corrected, references added, v3: more typos corrected