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The Groenewold - Moyal Plane and its Quantum Physics
A. P. Balachandran, Pramod Padmanabhan
Quantum theories constructed on the noncommutative spacetime called the Groenewold-Moyal(GM) plane exhibit many interesting properties such as causality violation, Lorentz and CPT…
Spin Dirac Operators on the Fuzzy 2-Sphere
A. P. Balachandran, Pramod Padmanabhan
The spin 1/2 Dirac operator and its chirality operator on the fuzzy 2-sphere can be constructed using the Ginsparg-Wilson(GW) algebra [arxiv:hep-th/0511114]. This construct…
Beyond fuzzy spheres
T. R. Govindarajan, Pramod Padmanabhan, T. Shreecharan
We study polynomial deformations of the fuzzy sphere, specifically given by the cubic or the Higgs algebra. We derive the Higgs algebra by quantizing the Poisson structure on a sur…
Causality and statistics on the Groenewold-Moyal plane
A. P. Balachandran, Anosh Joseph, Pramod Padmanabhan
Quantum theories constructed on the noncommutative spacetime called the Groenewold-Moyal plane exhibit many interesting properties such as Lorentz and CPT noninvariance, causality…