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math-ph2025
A note on quantum Hamiltonian reduction and anomalies
Boris M. Elfimov, Alexey A. Sharapov
Quantization of field-theoretic models with gauge symmetries is often obstructed by quantum anomalies. It is commonly believed that the origin of these anomalies lies in the infini…
math-ph2023
Wick-type deformation quantization of contact metric manifolds
Boris M. Elfimov, Alexey A. Sharapov
We construct a Wick-type deformation quantization of contact metric manifolds. The construction is fully canonical and involves no arbitrary choice. Unlike the case of symplectic o…
math-ph2022★ 3 cited
Deformation quantization of contact manifolds
Boris M. Elfimov, Alexey A. Sharapov
We extend Fedosov deformation quantization to general contact manifolds. Unlike the case of symplectic manifolds, not every classical observable on a contact manifold is generally…