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...
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 |
Similar Items
-
Field Theory on Curved Noncommutative Spacetimes
by: Alexander Schenkel, et al.
Published: (2010-08-01) -
Dirac's æther in curved spacetime
by: ALEXANDRE L. OLIVEIRA, et al.
Published: (2000-06-01) -
The Geometry of Noncommutative Spacetimes
by: Michał Eckstein
Published: (2017-03-01) -
Quantum Spacetime, Noncommutative Geometry and Observers
by: Fedele Lizzi
Published: (2021-12-01) -
The κ-(A)dS noncommutative spacetime
by: Angel Ballesteros, et al.
Published: (2019-09-01)