Abstract : Conformal extensions of Levy-Leblond's Carroll group, based on geometric properties analogous to those of Newton-Cartan space-time are proposed. The extensions are labelled by an integer $k$. This framework includes and extends our recent study of the Bondi-Metzner-Sachs (BMS) and Newman-Unti (NU) groups. The relation to Conformal Galilei groups is clarified. Conformal Carroll symmetry is illustrated by "Carrollian photons". Motion both in the Newton-Cartan and Carroll spaces may be related to that of strings in the Bargmann space.
https://hal.archives-ouvertes.fr/hal-01252074 Contributor : Stéphanie SuciuConnect in order to contact the contributor Submitted on : Thursday, January 7, 2016 - 10:58:45 AM Last modification on : Tuesday, January 11, 2022 - 5:56:09 PM
Christian Duval, G. W. Gibbons, P. A. Horvathy. Conformal Carroll groups. Journal of Physics A: Mathematical and Theoretical, IOP Publishing, 2014, 47 (33), pp.335204. ⟨10.1088/1751-8113/47/33/335204⟩. ⟨hal-01252074⟩