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arXiv · 2404.02533

Holographic Carrollian Conformal Scalars

Xavier Bekaert·Andrea Campoleoni·Simon Pekar
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Abstract

We provide holographic realisations in Minkowski spacetime of a free conformal Carrollian scalar field living at null infinity. To this end, we first show that the electric and magnetic limits of a relativistic conformal scalar are equivalent and we study the representation of the Carroll, Poincar\'e and BMS algebras that is realised on the resulting solution space. We then realise it as a quotient of the solution space of a free massless scalar in Minkowski spacetime with unusual falloff, in full analogy with the interpretation of Dirac's singleton as a shortened scalar in Anti de Sitter spacetime.

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Xavier Bekaert, Andrea Campoleoni, Simon Pekar. 2024-04-03. Holographic Carrollian Conformal Scalars. https://doi.org/10.1007/jhep05(2024)242

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