DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Conformal wavefunctions for graviton amplitudes

Journal Article · · Journal of High Energy Physics (Online)
 [1]; ORCiD logo [2]
  1. Brown Univ., Providence, RI (United States); Brown University
  2. Brown Univ., Providence, RI (United States)

The extended-BMS algebra of asymptotically flat spacetime contains an SO(3, 1) subgroup that acts by conformal transformations on the celestial sphere. It is of interest to study the representations of this subgroup associated with gravitons. To reduce the equation of motion to a Schrodinger-like equation it is necessary to impose a non-covariant gauge condition. Using these solutions, leading-order gauge invariant Weyl scalars are then computed and decomposed into families of unitary principal series representations. An invertible holographic mapping is constructed between these unitary principal series operators and massless spin-2 perturbations of flat spacetime.

Research Organization:
Brown Univ., Providence, RI (United States)
Sponsoring Organization:
USDOE Office of Science (SC), High Energy Physics (HEP)
Grant/Contract Number:
SC0010010
OSTI ID:
2340790
Journal Information:
Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 1 Vol. 2022; ISSN 1029-8479
Publisher:
Springer NatureCopyright Statement
Country of Publication:
United States
Language:
English

References (16)

BMS symmetry via AdS/CFT journal January 2021
Conformal wave expansions for flat space amplitudes journal July 2021
Type D Vacuum Metrics journal July 1969
An Approach to Gravitational Radiation by a Method of Spin Coefficients journal May 1962
Inversion of a Generalized Laplace Integral journal January 1942
Generalized Laplace integrals journal January 1942
Gravitational waves in general relativity, VII. Waves from axi-symmetric isolated system
  • Bondi, Hermann; Van der Burg, M. G. J.; Metzner, A. W. K.
  • Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, Vol. 269, Issue 1336, p. 21-52 https://doi.org/10.1098/rspa.1962.0161
journal August 1962
Gravitational waves in general relativity VIII. Waves in asymptotically flat space-time journal October 1962
Stability of a Schwarzschild Singularity journal November 1957
The Lazarus project. II. Spacelike extraction with the quasi-Kinnersley tetrad journal March 2006
Infrared-finite graviton two-point function in static de Sitter space journal July 2014
Spin coefficients and gauge fixing in the Newman-Penrose formalism journal March 2017
Flat space amplitudes and conformal symmetry of the celestial sphere journal September 2017
Effective Potential for Even-Parity Regge-Wheeler Gravitational Perturbation Equations journal March 1970
Graviton two-point function in 3 + 1 static de Sitter spacetime journal August 2016
A Master Equation for Gravitational Perturbations of Maximally Symmetric Black Holes in Higher Dimensions journal October 2003

Similar Records

Conformal wave expansions for flat space amplitudes
Journal Article · 2021 · Journal of High Energy Physics (Online) · OSTI ID:2340795

Scalar graviton as dark matter
Journal Article · 2015 · Physics of Atomic Nuclei · OSTI ID:22472278

Zwanziger’s pairwise little group on the celestial sphere
Journal Article · 2021 · Journal of High Energy Physics (Online) · OSTI ID:1976574