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Conformal Carroll groups

Christian Duval 1, 2 G. W. Gibbons 3, 4 P. A. Horvathy 3
1 CPT - E2 Géométrie, Physique et Symétries
CPT - Centre de Physique Théorique - UMR 7332
2 CPT - Centre de Physique Théorique - UMR 7332
3 LMPT - Laboratoire de Mathématiques et Physique Théorique
4 DAMTP/CMS - Department of Applied Mathematics and Theoretical Physics / Centre for Mathematical Sciences
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.
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https://hal.archives-ouvertes.fr/hal-01252074
Contributor : Stéphanie Suciu <>
Submitted on : Thursday, January 7, 2016 - 10:58:45 AM
Last modification on : Thursday, March 5, 2020 - 5:33:14 PM

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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⟩

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