Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8255505 | Journal of Geometry and Physics | 2018 | 24 Pages |
Abstract
But physicists want even more to treat structures on spheres (and other spaces), such as vector bundles, Yang-Mills functionals, Dirac operators, etc., and they want to approximate these by corresponding structures on matrix algebras. In the present paper we treat this idea for vector bundles. We develop a general precise way for understanding how, for two compact quantum metric spaces that are close together, to a given vector bundle on one of them there can correspond in a natural way a unique vector bundle on the other. We then show explicitly how this works for the case of matrix algebras converging to the 2-sphere.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Marc A. Rieffel,