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Holographic Symmetry Algebras for Gauge Theory and Gravity
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All 4D gauge and gravitational theories in asymptotically flat spacetimes contain an infinite number of non-trivial symmetries. They can be succinctly characterized by generalized 2D currents acting on the celestial sphere. A complete classification of these symmetries and their algebras is an open problem. Here we construct two towers of such 2D currents from positive-helicity photons, gluons, or gravitons with integer conformal weights. These generate the symmetries associated to an infinite tower of conformally soft theorems. The current algebra commutators are explicitly derived from the poles in the OPE coefficients, and found to comprise a rich closed subalgebra of the complete symmetry algebra.
Forward citations
Cited by 31 Pith papers
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Graviton scattering on self-dual black holes
Exact tree-level MHV graviton scattering amplitudes at arbitrary multiplicity are obtained on self-dual Taub-NUT backgrounds using twistor theory, including spin via Newman-Janis shift, with undeformed celestial symmetries.
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Light-Front approach to $4d$ massless Higher-Spin interactions
Solving Poincaré-algebra closure at quartic order yields infinitely many local 4d massless higher-spin theories (finite or infinite spectra), classifies chiral one-/two-derivative models, and determines all local unit...
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Infinite Symmetry Algebras in Four-Dimensional Conformal Field Theories
Universal light-ray operators from the stress tensor generate the wedge subalgebra of w_{1+∞} in generic interacting 4D CFTs, with finite one-point functions matching the full tower of soft graviton and gluon factors.
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Light-Front approach to $4d$ massless Higher-Spin interactions
Quartic Poincaré-closure in the light-front gauge classifies all one- and two-derivative chiral higher-spin theories in 4d and yields new finite-spectrum local theories and quasi-chiral families.
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Kerr Soft Dressing and the $w_{1+\infty}$ Frame Algebra at Null Infinity
The Kerr soft exponent generates a parity-alternating hierarchy of null-infinity frame generators—displacement memory at s=0, spin memory at s=1, and higher moments alternating by Kerr multipole parity—realized as the...
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Form factors of $\mathscr{N}=4$ self-dual Yang-Mills from the chiral algebra bootstrap
The chiral algebra bootstrap yields all-loop splitting functions for self-dual N=4 SYM, a proof of no double-pole OPEs, and novel two-loop form factors with anti-self-dual field strength insertions.
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Soft Algebras via Bulk Double Soft Limits
Bulk double soft limits of gravitational amplitudes fail to reproduce the recursive generation of higher-order soft theorems that celestial soft algebras suggest from the first three terms alone.
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Finite-energy hard celestial current algebra from the Banerjee--Mandal--Sahoo dipole Ward identity in QED
Derives finite-energy hard celestial current algebra and its one-cocycle from the BMS dipole Ward identity, mapping the hard-hard residue to a two-particle primary module via Plancherel transform.
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Finite-energy hard celestial current algebra from the Banerjee--Mandal--Sahoo dipole Ward identity in QED
Determines the finite-energy one-loop soft-photon operator in QED, extracts a hard-hard residue in its commutator with Mellin-difference currents, and links it to a minimal filtered abelian extension and dipole-curren...
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Large-$N$ Carrollian Thermodynamics from AdS Black-Hole Phase-Space Contractions
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Large-$N$ Carrollian Thermodynamics from AdS Black-Hole Phase-Space Contractions
Finite Carrollian limit of extended AdS first law is reinterpreted as double-scaled large-N low-temperature holographic ensemble with finite products, new boundary stress tensor, and celestial correlator representations.
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Soft Algebra for ${\cal N}=4$ SYM
In planar N=4 SYM the IR-finite hard amplitude satisfies an uncorrected tree-level soft theorem and represents the undeformed tree-level S-algebra of soft gluons.
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An algebra of proper observables at null infinity: Dirac brackets, Memory and Goldstone probes
Authors define proper observables and Goldstone probes on the Ashtekar-Streubel phase space at null infinity, showing supertranslation charges act correctly on shear and deriving distributional Dirac brackets with non...
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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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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 electromagne...
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Celestial 1-form symmetries
In self-dual Yang-Mills the S-algebra becomes an algebra of 1-form symmetries whose 2-form currents link integrability to the equality of Carrollian corner charges and celestial chiral algebra modes.
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Towards a Carrollian Description of Yang-Mills
A Carrollian theory on null infinity reproduces all MHV and NMHV Yang-Mills tree amplitudes, with a new explicit NMHV expression.
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Soft Algebras in AdS$_4$ from Light Ray Operators in CFT$_3$
A conformal map identifies the flat-space soft gluon S-algebra with light-ray operators built from CFT3 currents and their descendants in AdS4.
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Non-abelian soft radiation data for a celestial theory
Non-abelian soft-emission data imply that celestial OPE coefficients depend on gluon energy fractions, breaking holomorphic factorization and associativity, while single-soft logarithms can be reabsorbed into the runn...
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Associativity of celestial OPE, higher spins and self-duality
Celestial OPE associativity, the Jacobi identity of a vertex-derived gauge algebra, vanishing four-point amplitudes, and the light-cone holomorphic constraint are shown to be the same consistency condition, solved for...
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Holographic symmetry algebra for the MHV sector revisited
In the MHV sector, the celestial symmetry algebra is a semidirect product of w_{1+∞} (or S) with an infinite Abelian algebra, whose null states supply the two missing KZ equations.
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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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$w_{1+\infty}$ as the Frame Algebra of Kerr Soft Dressing
Kerr soft dressing exponentiates into a parity-alternating tower of frame shifts whose chiral-projected composition law is the w1+∞ bracket, solved in closed form for aligned spin.
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Multi-Particle Contributions to the Celestial Algebra in the ${\cal N}=8$ Supergravity
Multi-particle OPEs of single-particle celestial operators with two-particle operators in N=8 supergravity yield ninety-five (anti)commutators of the soft current algebra plus amplitude relations.
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Soft Algebras via Bulk Double Soft Limits
Bulk double soft limits introduce subtleties absent from boundary celestial CFTs, so the full soft expansion of gravitational amplitudes cannot be generated from the first three terms via celestial algebras.
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Observing Massive Scattering from Null Infinity
Late-time Bondi mass aspect at future null infinity acts as a detector for massive radiation, with its in-in correlations relating to weighted sums of scattering cross sections.
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On bulk reconstruction in Lorentzian AdS and its flat space limit
Constructs bulk scalar field representations in Lorentzian AdS4 from boundary primaries via time-ordered propagators and derives their flat-space limits to plane-wave or Carrollian bases.
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On symmetries of gravitational on-shell boundary action at null infinity
Fixing null-infinity boundary action ambiguities via 5-point amplitude constraints yields subleading soft theorems and proposes generalized Geroch-tensor Goldstone modes for sub^n-leading soft graviton insertions.
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Topics in Celestial holography: A bottom-up perspective
Review of symmetries, celestial CFT, twistor interplay, and AdS/CFT connections in the search for a celestial dual to flat-spacetime quantum gravity.
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Topics in Celestial holography: A bottom-up perspective
A review of symmetries, celestial CFT, twistor theory interplay, and AdS/CFT connections in the bottom-up search for a celestial dual to flat-space quantum gravity.
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