Abstract We start from a Lorentzian action in a deformed light-cone background and applying the method of null reduction leads to a Carrollian action in one lower spacetime dimensions. We also identify the correct light-cone definitions of the symmetry generators and their dynamical forms in terms of the fields and take the c 0 c → 0 limit. It is observed that these generators produce the known kinematic Carrollian conformal algebraic commutation relations.
Saha et al. (Sun,) studied this question.