Metric On Quantum Spaes

Details Metric On Quantum Spaes Metric On Quantum Spaes

1993-07-25

arxiv.org/abs/hep-th/9307150v1

Physics

High Energy Physics

High Energy Physics - Theory

7 pages (LaTeX), preprint TPJU 14/93

Scientific paper

10.1007/BF00751169

We introduce the analogue of the metric tensor in case of $q$-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 $q$-deformation of $SU(2)$. Finally we touch the topic of relations with the Connes' approach.

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