Quantisation of Magnetic Poisson Structures

par Richard Szabo (Heriot-Watt University)

vendredi 8 mars 2019, 14:00 → 15:00 Europe/Paris

Fokko du Cloux (Institut Camille Jordan)

We will overview some approaches to the quantisation of systems whose dynamics are governed by twisted Poisson structures, using the simple model of an electric charge in the background of a smooth monopole distribution (or dually of closed strings in locally non-geometric backgrounds) as an illustrative example. We will compare and contrast approaches to this problem based on deformation quantisation, symplectic realisation, and a higher version of geometric quantisation based on the 2-Hilbert space of sections of a suitable gerbe.