Kappa-Minkowski differential calculi and star product

Abstract

We present the star-product algebra of the kappa-deformation of Minkowski space and the formulation of Poincare covariant differential calculus. We use these tools to construct a twisted K-cycle over the algebra and a twisted cyclic cocycle.

Based on talk at the Corfu Summer Institute on Elementary Particles and Physics - Workshop on Noncommutative Field Theory and Gravity, September 8-12, 2010, Corfu Greece

References in corpus (1)

• Relativity in space-times with short-distance structure governed by an observer-independent (Planckian) length scale

Cited by in corpus (2)

• $\kappa$-deformed complex fields and discrete symmetries
• Doubly special relativity as a non-local quantum field theory