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5 papers
String with noncommutative world-sheet and stringy instantons
I. V. Gorbunov, A. A. Sharapov
The model of the bosonic string with the noncommutative world-sheet geometry is proposed in the framework of Fedosov's deformation quantization. The re-interpretation of the model…
Hidden supersymmetry and Berezin quantization of N=2, D=3 spinning superparticles
I. V. Gorbunov, S. L. Lyakhovich
The first quantized theory of N=2, D=3 massive superparticles with arbitrary fixed central charge and (half)integer or fractional superspin is constructed. The quantum states are r…
Geometric quantization of N=2, D=3 superanyon
I. V. Gorbunov, S. L. Lyakhovich
A classical model of N=2, D=3 fractional spin superparticle (superanyon) is presented, whose first-quantization procedure combines the Berezin quantization for the superspin degree…
N=1, D=3 Superanyons, osp(2|2) and the Deformed Heisenberg Algebra
I. V. Gorbunov, S. M. Kuzenko, S. L. Lyakhovich
We introduce N=1 supersymmetric generalization of the mechanical system describing a particle with fractional spin in D=1+2 dimensions and being classically equivalent to the formu…
On the Minimal Model of Anyons
I. V. Gorbunov, S. M. Kuzenko, S. L. Lyakhovich
We present new geometric formulations for the fractional spin particle models on the minimal phase spaces. New consistent couplings of the anyon to background fields are constructe…