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.
Carroll Structures, Null Geometry and Conformal Isometries
12 Pith papers cite this work, alongside 182 external citations. Polarity classification is still indexing.
12
Pith papers citing it
182
external citations · Pith
abstract
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.
citation-role summary
background 2
citation-polarity summary
roles
background 2polarities
background 2representative citing papers
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.
A microscopic derivation of Carrollian fluid equations from a statistical mechanics of interacting instantonic branes, plus initial elements of Carrollian thermodynamics.
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.
Finite Carrollian black-hole thermodynamics arises as a double-scaled low-temperature large-N ensemble in AdS/CFT, with the boundary Brown-York stress tensor reproducing the contracted bulk Hamiltonian and first law.
Derives Carrollian Maxwell theories (magnetic and electric) plus new scalar couplings through deformed light-cone null reduction while keeping first-class Gauss constraint and gauge invariance.
A path integral with asymptotic boundary conditions produces the gravitational S-matrix and derives soft graviton theorems from extended BMS symmetry Ward identities.
Establishes a holographic link between bulk gravitational radiation and dissipative corrections plus entropy production in boundary fluids, then constructs Carrollian analogues and celestial observables in the flat limit.
A 3d sourced conformal Carrollian field theory is proposed to holographically capture 4d flat gravity kinematics, with Ward identities matching 2d celestial CFT after relating operators.
Lecture notes that build the BMS group from prerequisites to applications in soft theorems, memory effects, and new material on asymptotic conformal Killing horizons.
A historical and pedagogical survey of group theory's role in particle physics, statistical mechanics, and a quantum-group model of the genetic code.
citing papers explorer
-
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.
-
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.
-
Kinetic Theory of Carroll Hydrodynamics
A microscopic derivation of Carrollian fluid equations from a statistical mechanics of interacting instantonic branes, plus initial elements of Carrollian thermodynamics.
-
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.
-
Large-$N$ Carrollian Thermodynamics from AdS Black-Hole Phase-Space Contractions
Finite Carrollian black-hole thermodynamics arises as a double-scaled low-temperature large-N ensemble in AdS/CFT, with the boundary Brown-York stress tensor reproducing the contracted bulk Hamiltonian and first law.
-
Hamiltonian formulation of Carrollian Maxwell theory in Deformed Light-cone Kaluza-Klein-like Null reduction
Derives Carrollian Maxwell theories (magnetic and electric) plus new scalar couplings through deformed light-cone null reduction while keeping first-class Gauss constraint and gauge invariance.
-
The gravitational S-matrix from the path integral: asymptotic symmetries and soft theorems
A path integral with asymptotic boundary conditions produces the gravitational S-matrix and derives soft graviton theorems from extended BMS symmetry Ward identities.
-
Radiation in Fluid/Gravity and the Flat Limit
Establishes a holographic link between bulk gravitational radiation and dissipative corrections plus entropy production in boundary fluids, then constructs Carrollian analogues and celestial observables in the flat limit.
-
Carrollian Perspective on Celestial Holography
A 3d sourced conformal Carrollian field theory is proposed to holographically capture 4d flat gravity kinematics, with Ward identities matching 2d celestial CFT after relating operators.
-
Lectures on the Bondi--Metzner--Sachs group and related topics in infrared physics
Lecture notes that build the BMS group from prerequisites to applications in soft theorems, memory effects, and new material on asymptotic conformal Killing horizons.
-
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.
- Null Strings Gauged and Reloaded, I: Null Strings Have Carroll-Weyl Gauge Symmetry