Differential operators on supercircle: conformally equivariant quantization and symbol calculus

Hichem Gargoubi, Najla Mellouli, Valentin Ovsienko

We consider the supercircle $S^{1|1}$ equipped with the standard contact structure. The conformal Lie superalgebra K(1) acts on $S^{1|1}$ as the Lie superalgebra of contact vector…