Nonabelian Berry Phase, Yang-Mills Instanton and USp(2k) Matrix Model
High Energy Physics - Theory
2009-10-31 v2
Abstract
The nonabelian Berry phase is computed in the T dualized quantum mechanics obtained from the USp(2k) matrix model. Integrating the fermions, we find that each of the spacetime points X_{\nu}^{(i)} is equipped with a pair of su(2) Lie algebra valued pointlike singularities located at a distance m_{(f)} from the orientifold surface. On a four dimensional paraboloid embedded in the five dimensional Euclidean space, these singularities are recognized as the BPST instantons.
Keywords
Cite
@article{arxiv.hep-th/9810237,
title = {Nonabelian Berry Phase, Yang-Mills Instanton and USp(2k) Matrix Model},
author = {B. Chen and H. Itoyama and H. Kihara},
journal= {arXiv preprint arXiv:hep-th/9810237},
year = {2009}
}
Comments
8 pages, Latex, some comments on our result added