Metric On Quantum Spaes
High Energy Physics - Theory
2009-10-22 v1
Abstract
We introduce the analogue of the metric tensor in case of -deformed differential calculus. We analyse the consequences of the existence of such metric, showing that this enforces severe restrictions on the parameters of the theory. We discuss in detail the examples of the Manin plane and the -deformation of . Finally we touch the topic of relations with the Connes' approach.
Keywords
Cite
@article{arxiv.hep-th/9307150,
title = {Metric On Quantum Spaes},
author = {Andrzej Sitarz},
journal= {arXiv preprint arXiv:hep-th/9307150},
year = {2009}
}
Comments
7 pages (LaTeX), preprint TPJU 14/93