Dirac Operators on Noncommutative Curved Spacetimes

We study the notion of a Dirac operator in the framework of twist-deformed noncommutative geometry. We provide a number of well-motivated candidate constructions and propose a minimal set of axioms that a noncommutative Dirac operator should satisfy. These criteria turn out to be restrictive, but th...

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Bibliographic Details
Main Authors: Alexander Schenkel, Christoph F. Uhlemann
Format: Article
Language:English
Published: National Academy of Science of Ukraine 2013-12-01
Series:Symmetry, Integrability and Geometry: Methods and Applications
Online Access:http://dx.doi.org/10.3842/SIGMA.2013.080

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