26 citations · 102 across the 14 of their papers we have counts for
14 papers
Second Order Symmetries of the Conformal Laplacian
Jean-Philippe Michel, Fabian Radoux, Josef Šilhan
Let (M,g) be an arbitrary pseudo-Riemannian manifold of dimension at least 3. We determine the form of all the conformal symmetries of the conformal (or Yamabe) Laplacian on (M,g),…
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…