Kappa-Minkowski differential calculi and star product
Flavio Mercati, Andrzej Sitarz
TL;DR
This paper develops a star-product algebra for kappa-deformed Minkowski space and constructs a Poincare covariant differential calculus, enabling advanced geometric and algebraic analysis of quantum spacetime.
Contribution
It introduces a star-product algebra and a covariant differential calculus for kappa-Minkowski space, advancing the mathematical framework of quantum deformations.
Findings
Constructed a star-product algebra for kappa-Minkowski space
Formulated a Poincare covariant differential calculus
Built a twisted K-cycle and cyclic cocycle for the algebra
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.
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