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arXiv · 1601.05576

The Moyal Sphere

Michał Eckstein·Andrzej Sitarz·Raimar Wulkenhaar
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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.

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Michał Eckstein, Andrzej Sitarz, Raimar Wulkenhaar. 2016-01-21. The Moyal Sphere. https://doi.org/10.1063/1.4965446

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