39 citations · 39 across the 1 of their papers we have counts for
6 papers
Quantum integrability of quadratic Killing tensors
Christian Duval, Galliano Valent
Quantum integrability of classical integrable systems given by quadratic Killing tensors on curved configuration spaces is investigated. It is proven that, using a "minimal" quanti…
Methods of Equivariant Quantization
C. Duval, P. Lecomte, V. Ovsienko
This article is a survey of recent work of the authors developing a new approach to quantization based on the equivariance with respect to some Lie group of symmetries. Examples ar…
Conformally equivariant quantization: Existence and uniqueness
C. Duval, P. Lecomte, V. Ovsienko
We prove the existence and the uniqueness of a conformally equivariant symbol calculus and quantization on any conformally flat pseudo-Riemannian manifold $(M,\rg)$. In other words…
Lorentzian worldlines and Schwarzian derivative
C. Duval, V. Ovsienko
We relate in this note the classical Schwarzian derivative to the curvature of time-like curves in Lorentz surfaces of constant curvature.
Conformally equivariant quantization
C. Duval, V. Ovsienko
Let be a pseudo-Riemannian manifold and the space of densities of degree on . We study the space of second-order differential operators from…
The Nappi-Witten example and gravitational waves
C. Duval, Z. Horváth, P. A. Horváthy
The vanishing of the anomaly in the recent example of Nappi and Witten, constructed from the Wess-Zumino-Witten model based on a certain non-semisimple group, follows from a more g…