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Carrollian hydrodynamics from symmetries

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arxiv 2209.03328 v1 pith:KA67NEDR submitted 2022-09-07 hep-th gr-qc

Laurent Freidel , Puttarak Jai-akson This is my paper · ORCID
classification hep-thgr-qc
keywords carrollianhydrodynamicssymmetriesassociateddiffeomorphismfieldsgeneralizemetric
verification ladder T0 review T1 audit T2 compute T3 formal
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In this work, we revisit Carrollian hydrodynamics, a type of non-Lorentzian hydrodynamics which has recently gained increasing attentions due to its underlying connection with dynamics of spacetime near null boundaries, and we aim at exploring symmetries associated with conservation laws of Carrollian fluids. With an elaborate construction of Carroll geometries, we generalize the Randers-Papapetrou metric by incorporating the fluid velocity field and the sub-leading components of the metric into our considerations and we argue that these two additional fields are compulsory phase space variables in the derivation of Carrollian hydrodynamics from symmetries. We then present a new notion of symmetry, called the near-Carrollian diffeomorphism, and demonstrate that this symmetry consistently yields a complete set of Carrollian hydrodynamic equations. Furthermore, due to the presence of the new phase space fields, our results thus generalize those already presented in the previous literatures. Lastly, the Noether charges associated with the near-Carrollian diffeomorphism and their time evolutions are also discussed.

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Cited by 6 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Carrollian limit of NS-NS and Heterotic Supergravity

    hep-th 2026-07 conditional novelty 7.0 of 10

    Ultra-relativistic expansion plus dilaton scaling produces finite covariant Carrollian NS-NS and heterotic supergravity actions, with trivializable Green-Schwarz for the 1-form and finite leading Riem^{2} α' corrections.

  2. Multiparticle States for the Flat Hologram

    hep-th 2024-12 conditional novelty 6.0 of 10

    The paper defines and constructs composite or multiparticle primary operators for Carrollian and celestial CFTs using OPE blocks and momentum-space partial waves, extending the flat-space dictionary beyond single-part...

  3. Towards Quantizing Null p-branes: Light-Cone Gauge Analysis and Physical Hilbert Space

    hep-th 2024-12 conditional novelty 6.0 of 10

    Quantized null p-branes in light-cone gauge have physical Hilbert spaces split into p+1 classes of standing-wave states.

  4. Foundations of Carrollian Geometry

    hep-th 2025-10 accept novelty 5.0 of 10

    A pedagogical review that establishes a unified intrinsic geometry for null hypersurfaces via Carrollian structures, adding new derivations of connection symbols and a null Gauss equation.

  5. Quantization of Carrollian fermions

    hep-th 2025-02 conditional novelty 5.0 of 10

    A first interacting 4D Carrollian Yukawa theory is constructed, showing ultralocal fermion-scalar interactions and one-loop beta functions with mostly Gaussian fixed points.

  6. Lectures on Carrollian Holography

    hep-th 2025-11 conditional novelty 3.0 of 10

    Massless scattering amplitudes, including gravitons, can be recast as correlators of a carrollian conformal field theory on null infinity, but the non-perturbative bootstrap program remains incomplete.

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