Noncommutative symmetries and gravity

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Abstract

Spacetime geometry is twisted (deformed) into noncommutative spacetime geometry, where functions and tensors are now star-multiplied. Consistently, spacetime diffeomorhisms are twisted into noncommutative diffeomorphisms. Their deformed Lie algebra structure and that of infinitesimal Poincaré transformations is defined and explicitly constructed. This allows to construct a noncommutative theory of gravity. This article is based on common work with Christian Blohmann, Marija Dimitrijević, Frank Meyer, Peter Schupp and Julius Wess.

Lingua originaleInglese
Numero di articolo052
pagine (da-a)799-819
Numero di pagine21
RivistaJournal of Physics: Conference Series
Volume53
Numero di pubblicazione1
DOI
Stato di pubblicazionePubblicato - 1 nov 2006

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