%0 Journal Article %T Conformal Carroll groups %A C. Duval %A G. W. Gibbons %A P. A. Horvathy %J Physics %D 2014 %I arXiv %R 10.1088/1751-8113/47/33/335204 %X 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. %U http://arxiv.org/abs/1403.4213v3