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Stress tensors of 3d Carroll CFTs

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arxiv 2212.11002 v2 pith:MA3IDM42 submitted 2022-12-21 hep-th

classification hep-th
keywords carrollcftsconformalalgebracarrollianchargesconstructiondiscuss
verification ladder T0 review T1 audit T2 compute T3 formal
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We discuss kinematical features of conformal Carroll field theories in three dimensions (3d). Conformal extension of Carroll algebra is infinite dimensional even in 3d unlike its relativistic counterpart, and hence 3d Carroll CFTs share similarities with 2d CFT. We provide a construction for the conserved charges for Carrollian CFTs and an expression for stress tensor OPEs consistent with the algebra of charges. We discuss a free field model where these symmetries are realised and explicitly compute the OPEs verifying our construction. In addition we comment on the possibility of extending the conformal symmetries to diffeomorphisms of spatial slice for these Carrollian theories.

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Cited by 1 Pith paper

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  1. Anisotropic conformal Carroll field theories and their gravity duals

    hep-th 2025-05 conditional novelty 6.0 of 10

    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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