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Holographic Carrollian Conformal Scalars
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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.
Forward citations
Cited by 3 Pith papers
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Carroll fermions of arbitrary spin
Free massless fermions of arbitrary spin admit two inequivalent Carrollian (c→0) limits, electric and magnetic, derived from the Fang–Fronsdal actions, with the magnetic theory reducible to the projected relativistic ...
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BMS$_3$ invariant field theories
New BMS3-invariant 2D scalar theories (electric, magnetic, canonical, coupled) with boundary analysis, flux laws, monodromy matching to 3D gravity, and complementary AdS3/dS3 flat limits.
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Anisotropic conformal Carroll field theories and their gravity duals
Plane wave spacetimes in three and four dimensions realize anisotropic conformal Carroll algebras as their (asymptotic) symmetry algebras, providing candidate holographic duals for z-anisotropic Carrollian CFTs.
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