Space-Time Foam From Non-Commutative Instantons
High Energy Physics - Theory
2009-10-31 v3
Abstract
We show that a U(1) instanton on non-commutative R^4 corresponds to a supersymmetric non-singular U(1) gauge field on a commutative Kahler manifold X which is a blowup of C^2 at a finite number of points. For instanton charge k the manifold X can be viewed as a space-time foam. A direct connection with integrable systems of Calogero-Moser type is established. We also make some comments on the non-abelian case.
Keywords
Cite
@article{arxiv.hep-th/9912019,
title = {Space-Time Foam From Non-Commutative Instantons},
author = {Harry W. Braden and Nikita A. Nekrasov},
journal= {arXiv preprint arXiv:hep-th/9912019},
year = {2009}
}
Comments
harvmac, 22 pp; v.2, refs added, a section added