A symmetry invariant integral on kappa-deformed spacetime

Abstract

In this note we present an approach using both constructive and Hopf algebraic methods to contribute to the not yet fully satisfactory definition of an integral on kappa-deformed spacetime. The integral presented here is based on the inner product of differential forms and it is shown that this integral is explicitly invariant under the deformed symmetry structure.

16 pages

References in corpus (2)

• Gauge theories on the kappa-Minkowski spacetime
• Action functional for kappa-Minkowski Noncommutative Spacetime

Cited by in corpus (16)

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• Noncommutative Differential Forms on the kappa-deformed Space
• On kappa-deformation and triangular quasibialgebra structure
• Covariant particle exchange for kappa-deformed theories in 1+1 dimensions
• U(1) gauge field theory on kappa-Minkowski space
• Gravitational Collapse of a Homogeneous Scalar Field in Deformed Phase Space
• $\kappa$-Minkowski star product in any dimension from symplectic realization
• Light-like $\kappa$-deformations and scalar field theory via Drinfeld twist
• Star Product and Invariant Integration for Lie type Noncommutative Spacetimes
• $\kappa$-General-Relativity I: a Non-Commutative GR Theory with the $\kappa$-Minkowski Spacetime as its Flat Limit