Noncommutative Parameters of Quantum Symmetries and Star Products

Abstract

The star product technique translates the framework of local fields on noncommutative space-time into nonlocal fields on standard space-time. We consider the example of fields on $\kappa$- deformed Minkowski space, transforming under $\kappa$-deformed Poincaré group with noncommutative parameters. By extending the star product to the tensor product of functions on $\kappa$-deformed Minkowski space and $\kappa$-deformed Poincaré group we represent the algebra of noncommutative parameters of deformed relativistic symmetries by functions on classical Poincaré group.

LaTeX2e, 10 pages. To appear in the Proceedings of XXIII International Colloquium on Group-Theoretical Methods in Physics, July 31- August 5, Dubna, Russia". The names of the authors corrected

References in corpus (2)

• String Theory and Noncommutative Geometry
• Noncommutative Geometry as a Regulator

Cited by in corpus (4)

• Towards Quantum Noncommutative $\kappa$-deformed Field Theory
• Spacetime and Fields, a Quantum Texture
• Space-time symmetry of noncommutative field theory
• Star Product and Invariant Integration for Lie type Noncommutative Spacetimes