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Noncommutative symmetries and gravity

Research output: Contribution to journalArticlepeer-review

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.

Original languageEnglish
Article number052
Pages (from-to)799-819
Number of pages21
JournalJournal of Physics: Conference Series
Volume53
Issue number1
DOIs
Publication statusPublished - 1 Nov 2006

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