2025/07/22 by Adach, Tadeusz, Bevilacqua, Andrea, Kowalski-Glikman, Jerzy +1
#FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th)
paper · doi:10.48550/arxiv.2507.16187
The positive and negative energy modes of a field theory in κ-Minkowski/κ-Poincaré noncommutative spacetime have very different symmetry properties. This can be understood geometrically by considering that they span two distinct sectors of a curved momentum space. It seems that because of this asymmetry, charge conjugation and Poincaré invariance are incompatible. However, the structure of momentum space suggests that time reversal could be deformed so that the overall CPT-invariance is restored. We test these features by calculating explicitly the whole set of Noether charges associated with continuous relativistic symmetries within the canonical formalism, and study their transformation properties under deformed discrete symmetries.