Toward the classification of differential calculi on $\kappa$-Minkowski space and related field theories

Understand

Classification of differential forms on $\kappa$-Minkowski space, particularly, the classification of all bicovariant differential calculi of classical dimension is presented.

• By imposing super-Jacobi identities we derive all possible differential algebras compatible with the $\kappa$-Minkowski algebra for time-like, space-like and light-like deformations.
• Embedding into the super-Heisenberg algebra is constructed using non-commutative (NC) coordinates and one-forms.
• Particularly, a class of differential calculi with an undeformed exterior derivative and one-forms is considered.