Symmetries in Celestial CFT
arXiv:2302.10222 · doi:10.1007/JHEP07(2023)076
Abstract
We use tools from conformal representation theory to classify the symmetries associated to conformally soft operators in celestial CFT (CCFT) in general dimensions . The conformal multiplets in take the form of celestial necklaces whose structure is much richer than the celestial diamonds in , it depends on whether is even or odd and involves mixed-symmetric tensor representations of . The existence of primary descendants in CCFT multiplets corresponds to (higher derivative) conservation equations for conformally soft operators. We lay out a unified method for constructing the conserved charges associated to operators with primary descendants. In contrast to the infinite local symmetry enhancement in CCFT, we find the soft symmetries in CCFT to be finite-dimensional. The conserved charges that follow directly from soft theorems are trivial in , while non-trivial charges associated to (generalized) currents and stress tensor are obtained from the shadow transform of soft operators which we relate to (an analytic continuation of) a specific type of primary descendants. We aim at a pedagogical discussion synthesizing various results in the literature.
arXiv comment56 pages + appendices, 3 figures
References in corpus (46)
- On BMS Invariance of Gravitational Scattering
- BMS supertranslations and Weinberg's soft graviton theorem
- Spinning Conformal Correlators
- New Symmetries of Massless QED
- Semiclassical Virasoro Symmetry of the Quantum Gravity S-Matrix
- Asymptotic symmetries and subleading soft graviton theorem
- Asymptotic Symmetries of Yang-Mills Theory
- Spinning AdS Propagators
- New symmetries for the Gravitational S-matrix
- A 2D Stress Tensor for 4D Gravity
- Low's Subleading Soft Theorem as a Symmetry of QED
- Loop Corrections to Soft Theorems in Gauge Theories and Gravity
- Factorization Properties of Soft Graviton Amplitudes
- Conformally Soft Photons and Gravitons
- Conformally Soft Theorem in Gauge Theory
- Celestial amplitudes and conformal soft theorems
- Asymptotic Symmetries and Celestial CFT
- Higher-Dimensional Supertranslations and Weinberg's Soft Graviton Theorem
- Recursion Relations for Conformal Blocks
- Subleading soft photons and large gauge transformations
- Celestial Amplitudes from UV to IR
- Celestial Operator Product Expansions and Symmetry for All Spins
- Conformally Soft Theorem In Gravity
- Soft Photon and Graviton Theorems in Effective Field Theory
- Sub-subleading soft gravitons: New symmetries of quantum gravity?
- Extended BMS Algebra of Celestial CFT
- Celestial Amplitudes: Conformal Partial Waves and Soft Limits
- Infinite Set of Soft Theorems in Gauge-Gravity Theories as Ward-Takahashi Identities
- Conformal correlators of mixed-symmetry tensors
- Projectors and seed conformal blocks for traceless mixed-symmetry tensors
- Asymptotic charges at spatial infinity
- MHV Graviton Scattering Amplitudes and Current Algebra on the Celestial Sphere
- Extended Super BMS Algebra of Celestial CFT
- Soft Factorization in QED from 2D Kac-Moody Symmetry
- Radial expansion for spinning conformal blocks
- Free box^k Scalar Conformal Field Theory
- Spinning operators and defects in conformal field theory
- Geometric Soft Theorems
- A -Dimensional Stress Tensor for Mink Gravity
- Residual Local Supersymmetry and the Soft Gravitino
- Goldilocks Modes and the Three Scattering Bases
- Conformal properties of soft operators -- 2 : Use of null-states
- Conformal Primary Basis for Dirac Spinors
- Massive Celestial Fermions
- Soft Scalars and the Geometry of the Space of Celestial CFTs
- Charge and Antipodal Matching across Spatial Infinity