Elfimov, B. M., & Sharapov, A. A. (2024). Wick-type deformation quantization of contact metric manifolds. Letters in Mathematical Physics, 114(2), 37.

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 or Poisson manifolds, not every classical observable on a general contact metric manifold can be promoted to a quantum one due to possible obstructions to quantization. We prove, however, that all these obstructions disappear for Sasakian manifolds.