Hyperk\"ahler cones and instantons on quaternionic K\"ahler manifolds
Differential Geometry
2020-02-04 v1 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
We present a novel approach to the study of Yang-Mills instantons on quaternionic K\"ahler manifolds, based on an extension of the harmonic space method of constructing instantons on hyperk\"ahler manifolds. Our results establish a bijection between local equivalence classes of instantons on quaternionic K\"ahler manifolds M and equivalence classes of certain holomorphic maps on an appropriate SL_2(C)-bundle over the Swann bundle of M.
Keywords
Cite
@article{arxiv.2002.00933,
title = {Hyperk\"ahler cones and instantons on quaternionic K\"ahler manifolds},
author = {Chandrashekar Devchand and Massimiliano Pontecorvo and Andrea Spiro},
journal= {arXiv preprint arXiv:2002.00933},
year = {2020}
}
Comments
35 pages