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Title:
Unified Framework for Carroll and Galilei Symmetry
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Abstract:
Whereas the usual Wigner-Ino ̈nu ̈ contraction c → ∞ of the Poincar ́e group yields the Galilei group, another c → 0 contraction yields the “Carroll group” of L ́evy-Leblond. Both boost-invariant theories are conveniently unified within the “Eisenhart-Duval” framework. The Chaplygin gas carries both types of symmetries simultaneously, which extend into a full Poincar ́e symmetry in one higher dimension as found before by Bazeia, Jackiw et al. Plane gravitational waves have a Carroll symmetry with broken rotations. The BMS group is the conformal extension the conformal Carroll group.
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