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Journal Articles Phys.Lett.B Year : 2023

Carrollian conformal scalar as flat-space singleton

Abstract

We show that, in any space-time dimension, the on-shell (electric) conformal Carrollian scalar can be interpreted as the flat-space limit of the singleton representation of the conformal algebra. In fact, a recently proposed higher-spin algebra for Minkowski spacetime amounts to the Poincaré enveloping algebra on the corresponding module. This higher-spin algebra is a contraction of that entering Vasiliev's equations, which can be constructed analogously from the singleton representation of the conformal algebra. We also show that the higher-spin extension of the Poincaré algebra we consider is a subalgebra of all symmetries of the conformal Carrollian scalar, given by a higher-spin version of the (extended) BMS algebra.

Dates and versions

hal-03896969 , version 1 (13-12-2022)

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Xavier Bekaert, Andrea Campoleoni, Simon Pekar. Carrollian conformal scalar as flat-space singleton. Phys.Lett.B, 2023, 838, pp.137734. ⟨10.1016/j.physletb.2023.137734⟩. ⟨hal-03896969⟩
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