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Carroll Structures, Null Geometry and Conformal Isometries
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We study the concept of Carrollian spacetime starting from its underlying fiber-bundle structure. The latter admits an Ehresmann connection, which enables a natural separation of time and space, preserved by the subset of Carrollian diffeomorphisms. These allow for the definition of Carrollian tensors and the structure at hand provides the designated tools for describing the geometry of null hypersurfaces embedded in Lorentzian manifolds. Using these tools, we investigate the conformal isometries of general Carrollian spacetimes and their relationship with the BMS group.
Forward citations
Cited by 21 Pith papers
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The Energy-Momentum-News Complex near Future Null Infinity
A Carroll-covariant energy-momentum-news complex at future null infinity yields Ward identities that generalise the Bondi loss equations, with an anomalous Carroll boost.
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Interacting Galilean and Finite-Energy Carroll Fermions
A c-dependent similarity transformation generates new Galilean and Carrollian fermion actions, including a Carrollian model with non-removable finite energy and a Galilean model with an accidental fermionic gauge symmetry.
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Quantization of Gravity on Null Hypersurfaces
An operator-algebraic quantization of the characteristic initial-value problem yields a candidate on-shell algebra for a gravitational subregion bounded by two null hypersurfaces.
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Affine connections for Galilean and Carrollian structures: a unified perspective
The authors classify general Carrollian affine connections with torsion and non-metricity, show their emergence from Lorentzian limits, and build an ultra-relativistic geometric trinity of gravity theories.
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Non-Lorentzian Supergravity and Kinematical Superalgebras
Supersymmetric extensions of extended kinematical algebras are classified via semigroup expansion, and non-degenerate Chern-Simons supergravity actions are constructed in three dimensions.
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Quantum Anomalies of Tensionless Bosonic Strings
A unified BRST analysis shows the flipped-vacuum anomaly fixes D=26 for the ILST null string, leaves a λ-family of critical dimensions for the hybrid string, and rules out the conformal and Carroll-Weyl strings.
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Quantization of Galilean Electrodynamics: a non-trivially trivial theory
Galilean electrodynamics is fully constrained and has zero local degrees of freedom; the path integral collapses to a single quantum-mechanical zero mode.
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Carroll supergravities
Electric and magnetic Carrollian limits of N=1, D=4 supergravity are obtained by Hamiltonian contraction, yielding ultralocal electric and gradient-retaining magnetic theories with simplified constraint algebras.
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Twisting asymptotically-flat spacetimes
Twisting asymptotically-flat spacetimes are brought into a generalized Bondi gauge with finite radial expansion, producing new flux-balance laws, Carroll-boost symmetries, and finite supertranslated Kerr–Taub–NUT metrics.
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Multiparticle States for the Flat Hologram
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...
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Quantum flux operators in the fermionic theory and their supersymmetric extension
The paper derives fermionic quantum flux operators at null infinity, finds an anomalous helicity flux from superrotation commutators, and shows the resulting algebra reduces to super-BMS and R-extended super-Poincaré ...
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Field-dependent diffeomorphisms and the transformation of surface charges between gauges
The Weyl charge in (A)dS3 gravity is kinematical: it can be toggled on or off by a field-dependent diffeomorphism between Bondi-Sachs and Fefferman-Graham gauges.
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The extremal Reissner-Nordstr\"om throat from non extremal near horizon expansions
String Carroll first-order data miss the RN AdS2×S2 throat; second-order (EF) or all-order radial (static) terms restore it under near-extremal scaling.
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Foundations of Carrollian Geometry
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.
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Aspects of Carrollian field theory from holography
The holographic stress tensor at null infinity in three-dimensional flat gravity reproduces the known BMS3 central charges c_L=0 and c_M=3/G_N, and yields the expected Ward identities and Schwarzian boundary action.
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Carrollian Quantum Mechanics: Time-like, Space-like and Hybrid Sectors
A c→0 contraction of the Klein-Gordon equation yields three Carrollian quantum sectors, and the time-like sector shows temporal tunneling with |T|²=1+|R|².
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Nonperfect Carrollian Fluids Through Holography
Bulk gravitational radiation, diagnosed by the Fernández-Álvarez–Senovilla criterion, is dual to dissipative (Carrollian) boundary-fluid data, with an entropy-flux law and a Robinson-Trautman worked example.
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GGI lectures on boundary and asymptotic symmetries
A lecture-note review of boundary and asymptotic symmetries that re-derives the BMS group as the asymptotic symmetry group of Minkowski spacetime alone and constructs an integral Hamiltonian generator for scalar-field...
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3D Carrollian gravity from 2D Euclidean symmetry
Post-Carroll-Newtonian Chern-Simons gravities are systematically obtained by semigroup-expanding 2D Euclidean B_k algebras, recovering known Carrollian models as subcases.
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Lectures on Carrollian Holography
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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A Century of Group Theory in Particle Physics and Beyond
A historical and pedagogical survey of group theory's role in particle physics, statistical mechanics, and a quantum-group model of the genetic code.
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