A gravity theory on noncommutative spaces
- P. Aschieri, Christian Blohmann, M. Dimitrijević, F. Meyer, P. Schupp, J. Wess
- Mathematics
- 22 April 2005
A deformation of the algebra of diffeomorphisms is constructed for canonically deformed spaces with constant deformation parameter θ. The algebraic relations remain the same, whereas the…
Noncommutative geometry and gravity
- P. Aschieri, M. Dimitrijević, F. Meyer, J. Wess
- Mathematics
- 6 October 2005
We study a deformation of infinitesimal diffeomorphisms of a smooth manifold. The deformation is based on a general twist. This leads to a differential geometry on a noncommutative algebra of…
Noncommutative D=4 gravity coupled to fermions
- P. Aschieri, L. Castellani
- Mathematics
- 23 February 2009
We present a noncommutative extension of Einstein-Hilbert gravity in the context of twist-deformed space-time, with a -product associated to a quite general triangular Drinfeld twist. In particular…
Twisted Gauge Theories
- P. Aschieri, M. Dimitrijević, F. Meyer, S. Schraml, J. Wess
- Mathematics
- 3 March 2006
Gauge theories on a space-time that is deformed by the Moyal–Weyl product are constructed by twisting the coproduct for gauge transformations. This way a deformed Leibniz rule is obtained, which is…
Noncommutative gravity solutions
- P. Aschieri, L. Castellani
- Mathematics
- 15 June 2009
Dynamical generation of fuzzy extra dimensions, dimensional reduction and symmetry breaking
- P. Aschieri, T. Grammatikopoulos, H. Steinacker, G. Zoupanos
- Physics
- 2 June 2006
We present a renormalizable 4-dimensional SU(N) gauge theory with a suitable multiplet of scalar fields, which dynamically develops extra dimensions in the form of a fuzzy sphere S 2 N . We…
Dimensional reduction over fuzzy coset spaces
- P. Aschieri, J. Madore, P. Manousselis, G. Zoupanos
- Computer Science, Physics
- 8 October 2003
The gauge theory defined on Minkowski space-time times fuzzy coset spaces is reduced to four dimensions and the rules of the corresponding dimensional reduction are established including the dimensional reduction of fermion fields.
AN INTRODUCTION TO NONCOMMUTATIVE DIFFERENTIAL GEOMETRY ON QUANTUM GROUPS
- P. Aschieri, L. Castellani
- Mathematics
- 26 July 1992
We give a pedagogical introduction to the differential calculus on quantum groups by stressing at all stages the connection with the classical case (q→1 limit). The Lie derivative and the contraction…
Noncommutative Spacetimes: Symmetries in Noncommutative Geometry and Field Theory
- P. Aschieri, M. Dimitrijević, P. Kulish, F. Lizzi, J. Wess
- Mathematics, Physics
- 14 July 2009
Deformed Field Theory: Physical Aspects.- Differential Calculus and Gauge Transformations on a Deformed Space.- Deformed Gauge Theories.- Einstein Gravity on Deformed Spaces.- Deformed Gauge Theory:…
Nonabelian Bundle Gerbes, Their Differential Geometry and Gauge Theory
- P. Aschieri, L. Cantini, B. Jurčo
- Physics
- 15 December 2003
Bundle gerbes are a higher version of line bundles, we present nonabelian bundle gerbes as a higher version of principal bundles. Connection, curving, curvature and gauge transformations are studied…
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