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math-ph2026
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…
math-ph2024★ 1 cited
Supersymmetric Quantum Mechanics on a noncommutative plane through the lens of deformation quantization
Md. Rafsanjany Jim, S. Hasibul Hassan Chowdhury
A gauge invariant mathematical formalism based on deformation quantization is outlined to model an supersymmetric system of a spin charged particle placed in…