26 citations · 102 across the 14 of their papers we have counts for
13 papers · 1 filter
Geodesics on a supermanifold and projective equivalence of super connections
Thomas Leuther, Fabian Radoux, Gijs Tuynman
We investigate the concept of projective equivalence of connections in supergeometry. To this aim, we propose a definition for (super) geodesics on a supermanifold in which, as in…
On osp(p+1,q+1|2r)-equivariant quantizations
Thomas Leuther, Pierre Mathonet, Fabian Radoux
We investigate the concept of equivariant quantization over the superspace R^{p+q|2r}, with respect to the orthosymplectic algebra osp(p+1,q+1|2r). Our methods and results vary upo…
Natural and Projectively Invariant Quantizations on Supermanifolds
Thomas Leuther, Fabian Radoux
The existence of a natural and projectively invariant quantization in the sense of P. Lecomte [Progr. Theoret. Phys. Suppl. (2001), no. 144, 125-132] was proved by M. Bordemann [ma…
Projectively equivariant quantizations over the superspace
Pierre Mathonet, Fabian Radoux
We investigate the concept of projectively equivariant quantization in the framework of super projective geometry. When the projective superalgebra pgl(p+1|q) is simple, our result…
Equivariant quantization of orbifolds
N. Poncin, F. Radoux, R. Wolak
Equivariant quantization is a new theory that highlights the role of symmetries in the relationship between classical and quantum dynamical systems. These symmetries are also one o…
An explicit formula for the natural and conformally invariant quantization
F. Radoux
In [5], P. Lecomte conjectured the existence of a natural and conformally invariant quantization. In [7], we gave a proof of this theorem thanks to the theory of Cartan connections…