Energy in Yang-Mills on a Riemann Surface
Differential Geometry
2015-06-26 v1 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
Sengupta's lower bound for the Yang-Mills action on smooth connections on a bundle over a Riemann surface generalizes to the space of connections whose action is finite. In this larger space the inequality can always be saturated. The Yang-Mills critical sets correspond to critical sets of the energy action on a space of paths. This may shed light on Atiyah and Bott's conjecture concerning Morse theory for the space of connections modulo gauge transformations.
Keywords
Cite
@article{arxiv.math/0002072,
title = {Energy in Yang-Mills on a Riemann Surface},
author = {Dana Stanley Fine},
journal= {arXiv preprint arXiv:math/0002072},
year = {2015}
}
Comments
7 pages, 2 figures, Latex2e with epsfig, submitted to Journal of Mathematical Physics