Twist star products and Morita equivalence
Quantum Algebra
2017-11-21 v2 Mathematical Physics
math.MP
Abstract
We present a simple no-go theorem for the existence of a deformation quantization of a homogeneous space M induced by a Drinfel'd twist: we argue that equivariant line bundles on M with non-trivial Chern class and symplectic twist star products cannot both exist on the same manifold M. This implies, for example, that there is no symplectic star product on the complex projective spaces induced by a twist based on U(gl(n,C))[[h]] or any sub-bialgebra, for every n greater or equal than 2.
Keywords
Cite
@article{arxiv.1708.01288,
title = {Twist star products and Morita equivalence},
author = {Francesco D'Andrea and Thomas Weber},
journal= {arXiv preprint arXiv:1708.01288},
year = {2017}
}
Comments
10 pages, no figures