The asymptotic charges of the Curtright dual graviton in D=5 split into scalar, vector, and TT sectors that close into an abelian extension of a BMS-like algebra when the vector parameter is restricted to o(4).
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BMS charge algebra
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abstract
The surface charges associated with the symmetries of asymptotically flat four dimensional spacetimes at null infinity are constructed. They realize the symmetry algebra in general only up to a field-dependent central extension that satisfies a suitably generalized cocycle condition. This extension vanishes when using the globally well defined BMS algebra. For the Kerr black hole and the enlarged BMS algebra with both supertranslations and superrotations, some of the supertranslations charges diverge whereas there are no divergences for the superrotation charges. The central extension is proportional to the rotation parameter and involves divergent integrals on the sphere.
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representative citing papers
Derives the fundamental BCJ relation at tree level from soft theorems in bi-adjoint scalar theory, generalizes it to 1-loop integrands, and uses it to explain Adler zeros in other scalar theories.
Couch-Torrence inversion matches Newman-Penrose charges at null infinity to Aretakis charges near horizons for D3-branes in D=10 and bound states in D=4,5, with supersymmetry mapping scalar charges to spinorial dilatino charges.
The authors derive non-perturbative first and second laws for dynamical black holes, identifying entropy with the area of local marginally trapped surfaces rather than the global event horizon.
The algebra of proper observables at null infinity admits Goldstone probes that measure the memory mode, but none can be built from shear or news alone, and the Dirac brackets acquire non-local corrections.
A path integral with asymptotic boundary conditions produces the gravitational S-matrix and derives soft graviton theorems from extended BMS symmetry Ward identities.
A recursive construction expands tree YM amplitudes to YMS and BAS amplitudes from soft theorems while preserving gauge invariance at each step.
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.
A bulk construction in asymptotically flat higher-spin gravity realizes Carrollian free fields and Miura transformations via generalized boundary conditions and screening charges.
Explicit quasi-local formulae for celestial higher-spin charges and multipoles are given on finite 2-surfaces using higher-valence twistor solutions, with a phase-space derivation from self-dual gravity.
Restricting one helicity to the wedge sector and introducing shadow charges yields closed mixed-helicity algebras for all spins in gravity and gauge theory, plus dual mass BMS extensions and non-vanishing electromagnetic central charges.
Hyperboloidal slices and distinct early/late BMS transformations reconcile mass moment calculations in post-Minkowski scattering and support a conjectured all-order flux balance law.
Tree-level amplitudes for Yang-Mills-scalar, pure Yang-Mills, Einstein-Yang-Mills and gravitational theories are reconstructed from soft theorems, universality of soft factors and double copy, with explicit soft factors determined.
Lecture notes that build the BMS group from prerequisites to applications in soft theorems, memory effects, and new material on asymptotic conformal Killing horizons.
citing papers explorer
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The asymptotic charges of Curtright dual graviton and Curtright extensions of BMS algebra
The asymptotic charges of the Curtright dual graviton in D=5 split into scalar, vector, and TT sectors that close into an abelian extension of a BMS-like algebra when the vector parameter is restricted to o(4).
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Tree and $1$-loop fundamental BCJ relations from soft theorems
Derives the fundamental BCJ relation at tree level from soft theorems in bi-adjoint scalar theory, generalizes it to 1-loop integrands, and uses it to explain Adler zeros in other scalar theories.
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Couch-Torrence conformal inversion, supersymmetry and conserved charges for D3-branes
Couch-Torrence inversion matches Newman-Penrose charges at null infinity to Aretakis charges near horizons for D3-branes in D=10 and bound states in D=4,5, with supersymmetry mapping scalar charges to spinorial dilatino charges.
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Thermodynamics of dynamical black holes beyond perturbation theory
The authors derive non-perturbative first and second laws for dynamical black holes, identifying entropy with the area of local marginally trapped surfaces rather than the global event horizon.
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An algebra of proper observables at null infinity: Dirac brackets, Memory and Goldstone probes
The algebra of proper observables at null infinity admits Goldstone probes that measure the memory mode, but none can be built from shear or news alone, and the Dirac brackets acquire non-local corrections.
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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.
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Recursive construction for expansions of tree Yang-Mills amplitudes from soft theorem
A recursive construction expands tree YM amplitudes to YMS and BAS amplitudes from soft theorems while preserving gauge invariance at each step.
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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.
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Holographic realization of higher-spin Carrollian free fields
A bulk construction in asymptotically flat higher-spin gravity realizes Carrollian free fields and Miura transformations via generalized boundary conditions and screening charges.
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Quasi-Local Celestial Charges and Multipoles
Explicit quasi-local formulae for celestial higher-spin charges and multipoles are given on finite 2-surfaces using higher-valence twistor solutions, with a phase-space derivation from self-dual gravity.
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Mixed-helicity bracket of celestial symmetries
Restricting one helicity to the wedge sector and introducing shadow charges yields closed mixed-helicity algebras for all spins in gravity and gauge theory, plus dual mass BMS extensions and non-vanishing electromagnetic central charges.
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Frames and Slicings for Angular Momentum in Post-Minkowski Scattering
Hyperboloidal slices and distinct early/late BMS transformations reconcile mass moment calculations in post-Minkowski scattering and support a conjectured all-order flux balance law.
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Tree level amplitudes from soft theorems
Tree-level amplitudes for Yang-Mills-scalar, pure Yang-Mills, Einstein-Yang-Mills and gravitational theories are reconstructed from soft theorems, universality of soft factors and double copy, with explicit soft factors determined.
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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.