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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Celestial Holography
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abstract
Celestial holography proposes a duality between the gravitational $\mathcal{S}$-matrix and correlators in a conformal field theory living on the celestial sphere. In this white paper, solicited for the 2022 Snowmass process, we review the motivation from asymptotic symmetries, fundamentals of the proposed holographic dictionary, potential applications to experiment and theory, and some important open questions.
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A deformed Calogero model accommodates unitary principal series states of sl(2,R) via operator domain changes, preserving unitarity and invariance while altering integrability, with solutions for N=2 and 3.
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.
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.
Celestial OPEs require shadow-basis exchanges of the same bulk particles for consistency, with coefficients fixed by a universal shadow factor.
Recovers Minkowski massless integer-spin solution space as smooth limit of AdS solution space for even dimensions via cosmological-constant expansion of source and vev.
By fixing the Liouville-Mellin dictionary via conformal covariance and semiclassical consistency, the authors derive the leading and subleading b^2 terms of the celestial three-gluon amplitude from the DOZZ function, with the one-loop piece expressed using modified Bessel functions.
The c to zero limit of ABJM theory produces a Carrollian superconformal theory with extended BMS4 symmetry using Carrollian Dirac matrices.
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.
A Carrollian theory on null infinity reproduces all MHV and NMHV Yang-Mills tree amplitudes, with a new explicit NMHV expression.
Loop-level Carrollian amplitudes in N=4 SYM and N=8 supergravity are differential operators on tree-level versions, with logarithmic eikonal behavior and IR-safe factorization via natural splitting.
A path integral with asymptotic boundary conditions produces the gravitational S-matrix and derives soft graviton theorems from extended BMS symmetry Ward identities.
A proposed definition of asymptotically flat spacetimes enables proofs of antipodal matching conditions at spatial infinity for dual mass, shear tails, and peeling, expressed as boundary conservation laws.
Authors construct canonical and path-integral quantizations for QFT in Klein space using extra modes, deriving correlation functions that match Minkowski space via analytical continuation.
Develops worldsheet sigma model for fundamental strings in critical type IIA limit showing nodal singularities and derives T-duality web unifying decoupling limits including ambitwistor and Carrollian strings.
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.
Hierarchical Bayesian inference on GWTC-5.0 constrains the memory enhancement factor to 0.26 with large uncertainties consistent with the GR value of 1 and forecasts that 2000 detections are needed for a 1σ constraint away from zero.
Double-scaling contractions of extended AdS black-hole thermodynamics produce finite Carrollian phase-space first laws with pressure-volume contributions under the condition α + γ = 1.
Reformulates structures from celestial holography using non-linear Lie conformal algebras to address one-loop corrections in self-dual Yang-Mills amplitudes.
A 3D QFT is defined with infinite-dimensional topological-holomorphic symmetry from a centrally extended affine graded Lie algebra, yielding a raviolo vertex algebra for its local operators after radial quantization.
An agentic AI workflow constructs Carrollian conformal bases for massive and tachyonic particles via a Poincare-Carrollian intertwiner that requires complex momentum shifts.
Lecture notes that build the BMS group from prerequisites to applications in soft theorems, memory effects, and new material on asymptotic conformal Killing horizons.
The paper organizes important open questions in quantum gravity and quantum information into four themes without presenting new results or derivations.
Review of so(1,D) representations for de Sitter space across all D, covering mixed symmetry and fermions, connected to propagating fields.
citing papers explorer
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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.
-
Medicine show: A Calogero model with principal series states
A deformed Calogero model accommodates unitary principal series states of sl(2,R) via operator domain changes, preserving unitarity and invariance while altering integrability, with solutions for N=2 and 3.
-
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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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.
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Shadow Completion in Celestial OPEs
Celestial OPEs require shadow-basis exchanges of the same bulk particles for consistency, with coefficients fixed by a universal shadow factor.
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Flat from AdS: in any dimension and for any spin
Recovers Minkowski massless integer-spin solution space as smooth limit of AdS solution space for even dimensions via cosmological-constant expansion of source and vev.
-
A perturbative Liouville prescription for the celestial three-gluon amplitude
By fixing the Liouville-Mellin dictionary via conformal covariance and semiclassical consistency, the authors derive the leading and subleading b^2 terms of the celestial three-gluon amplitude from the DOZZ function, with the one-loop piece expressed using modified Bessel functions.
-
Carrollian ABJM: Fermions and Supersymmetry
The c to zero limit of ABJM theory produces a Carrollian superconformal theory with extended BMS4 symmetry using Carrollian Dirac matrices.
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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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On Carrollian Loop Amplitudes for Gauge Theory and Gravity
Loop-level Carrollian amplitudes in N=4 SYM and N=8 supergravity are differential operators on tree-level versions, with logarithmic eikonal behavior and IR-safe factorization via natural splitting.
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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.
-
A proof of conservation laws in gravitational scattering: tails and breaking of peeling
A proposed definition of asymptotically flat spacetimes enables proofs of antipodal matching conditions at spatial infinity for dual mass, shear tails, and peeling, expressed as boundary conservation laws.
-
QFT in Klein space
Authors construct canonical and path-integral quantizations for QFT in Klein space using extra modes, deriving correlation functions that match Minkowski space via analytical continuation.
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Worldsheet Formalism for Decoupling Limits in String Theory
Develops worldsheet sigma model for fundamental strings in critical type IIA limit showing nodal singularities and derives T-duality web unifying decoupling limits including ambitwistor and Carrollian strings.
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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.
-
Constraining Gravitational Wave Memory with Hierarchical Inference
Hierarchical Bayesian inference on GWTC-5.0 constrains the memory enhancement factor to 0.26 with large uncertainties consistent with the GR value of 1 and forecasts that 2000 detections are needed for a 1σ constraint away from zero.
-
Phase-Space Contractions of Carrollian Black-Hole Thermodynamics
Double-scaling contractions of extended AdS black-hole thermodynamics produce finite Carrollian phase-space first laws with pressure-volume contributions under the condition α + γ = 1.
-
Non-linear Lie Conformal Algebras and One-Loop Corrections of self-dual Yang-Mills amplitudes
Reformulates structures from celestial holography using non-linear Lie conformal algebras to address one-loop corrections in self-dual Yang-Mills amplitudes.
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Infinite Dimensional Topological-Holomorphic Symmetry in Three-Dimensions
A 3D QFT is defined with infinite-dimensional topological-holomorphic symmetry from a centrally extended affine graded Lie algebra, yielding a raviolo vertex algebra for its local operators after radial quantization.
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Carrollian holography with agentic AI: Real mass is imaginary
An agentic AI workflow constructs Carrollian conformal bases for massive and tachyonic particles via a Poincare-Carrollian intertwiner that requires complex momentum shifts.
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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.
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Rethinking quantum information in gravity and fields
The paper organizes important open questions in quantum gravity and quantum information into four themes without presenting new results or derivations.
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De Sitter Representations
Review of so(1,D) representations for de Sitter space across all D, covering mixed symmetry and fermions, connected to propagating fields.
- Topics in Celestial holography: A bottom-up perspective
- Global Gauge Symmetries and Spatial Asymptotic Boundary Conditions in Yang-Mills Theory