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Article Dans Une Revue Journal of Physics A: Mathematical and Theoretical Année : 2014

Conformal Carroll groups

Résumé

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.

Dates et versions

hal-01252074 , version 1 (07-01-2016)

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Christian Duval, G. W. Gibbons, P. A. Horvathy. Conformal Carroll groups. Journal of Physics A: Mathematical and Theoretical, 2014, 47 (33), pp.335204. ⟨10.1088/1751-8113/47/33/335204⟩. ⟨hal-01252074⟩
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