Null reduction and dynamical realization of Carrollian conformal symmetries

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 $c\to 0$ limit. It is observed that these generators produce the known kinematic Carrollian conformal algebraic commutation relations.

v1:7 pages LaTex; v2: Typos corrected and reference updated, v3: minor changes

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