Differential Structure on kappa-Minkowski Spacetime Realized as Module of Twisted Weyl Algebra
Jong-Geon Bu, Jae Hyung Yee, Hyeong-Chan Kim
TL;DR
This paper constructs a differential structure on kappa-Minkowski spacetime using Jordanian twist of Weyl algebra, demonstrating closure in four dimensions and formulating a scalar field theory within this framework.
Contribution
It introduces a novel differential structure on kappa-Minkowski spacetime via Jordanian twist, enabling a consistent 4D formulation and scalar field theory development.
Findings
Differential structure is closed in 4D, unlike traditional approaches.
Scalar field theory is formulated on the new differential structure.
The approach offers a consistent framework for quantum spacetime models.
Abstract
The differential structure on the kappa-Minkowski spacetime from Jordanian twist of Weyl algebra is constructed, and it is shown to be closed in 4-dimensions in contrast to the conventional formulation. Based on this differential structure, we have formulated a scalar field theory in this kappa-Minkowski spacetime.
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