The Moyal Sphere
Quantum Algebra
2019-03-08 v1 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
We construct a family of constant curvature metrics on the Moyal plane and compute the Gauss-Bonnet term for each of them. They arise from the conformal rescaling of the metric in the orthonormal frame approach. We find a particular solution, which corresponds to the Fubini-Study metric and which equips the Moyal algebra with the geometry of a noncommutative sphere.
Cite
@article{arxiv.1601.05576,
title = {The Moyal Sphere},
author = {Michał Eckstein and Andrzej Sitarz and Raimar Wulkenhaar},
journal= {arXiv preprint arXiv:1601.05576},
year = {2019}
}
Comments
16 pages, 3 figures