From Noncommutative Kinematics to \(U(1)_{\star}\) Gauge Theory: A Family of Spectral Triples with Localized Gauge Perturbations

Tanmoy Kumar Sarkar, Md. Rafsanjany Jim, S. Hasibul Hassan Chowdhury

We construct locally compact non-unital spectral triples for a noncommutative planar system determined by a fixed nondegenerate irreducible unitary sector of the kinematical symmet…