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Quantum causality in κ-Minkowski and related constraints

Quantum causality in κ-Minkowski and related constraints

We study quantum causal structures in $1+1$ $\kappa$-Minkowski space-time described by a Lorentzian Spectral Triple whose Dirac operator is built from a natural set of twisted derivations of the $\kappa$-Poincar\'e algebra. We show that the Lorentzian Spectral Triple must be twisted to accommodate the twisted nature of the derivations. We …