Soft photon theorems from CFT Ward identites in the flat limit of AdS/CFT
arXiv:2005.03667 · doi:10.1007/JHEP11(2020)009
Abstract
S-matrix elements in flat space can be obtained from a large AdS-radius limit of certain CFT correlators. We present a method for constructing CFT operators which create incoming and outgoing scattering states in flat space. This is done by taking the flat limit of bulk operator reconstruction techniques. Using this method, we obtain explicit expressions for incoming and outgoing U(1) gauge fields. Weinberg soft photon theorems then follow from Ward identites of conserved CFT currents. In four bulk dimensions, gauge fields on AdS can be quantized with standard and alternative boundary conditions. Changing the quantization scheme corresponds to the S-transformation of SL(2,Z) electric-magnetic duality in the bulk. This allows us to derive both, the electric and magnetic soft photon theorems in flat space from CFT physics.
arXiv comment52 pages, 5 figures, comments are welcome, v2: error corrected in eq (2.1), minor clarifications throughout the paper
References in corpus (39)
- The Large N Limit of Superconformal Field Theories and Supergravity
- AdS/CFT Correspondence and Symmetry Breaking
- Bulk Locality and Quantum Error Correction in AdS/CFT
- Soft Hair on Black Holes
- On BMS Invariance of Gravitational Scattering
- Writing CFT correlation functions as AdS scattering amplitudes
- Holographic representation of local bulk operators
- Bulk vs. Boundary Dynamics in Anti-de Sitter Spacetime
- Holographic Probes of Anti-de Sitter Spacetimes
- New Symmetries of Massless QED
- An Infalling Observer in AdS/CFT
- Real-time gauge/gravity duality: Prescription, Renormalization and Examples
- A holographic reduction of Minkowski space-time
- Real-time gauge/gravity duality
- Light-ray operators in conformal field theory
- Dynamics in Non-Globally-Hyperbolic Static Spacetimes III: Anti-de Sitter Spacetime
- Low's Subleading Soft Theorem as a Symmetry of QED
- The S-matrix Bootstrap I: QFT in AdS
- Boundary Conditions and Dualities: Vector Fields in AdS/CFT
- Analyticity and the Holographic S-Matrix
- Infrared Divergences in QED, Revisited
- The boundary S-matrix and the AdS to CFT dictionary
- Flat-space scattering and bulk locality in the AdS/CFT correspondence
- S-Matrices from AdS Spacetime
- Magnetic Corrections to the Soft Photon Theorem
- Construction of Bulk Fields with Gauge Redundancy
- Flat space physics from AdS/CFT
- On excited states in real-time AdS/CFT
- The flat space S-matrix from the AdS/CFT correspondence?
- Multi-Trace Operators and the Generalized AdS/CFT Prescription
- Light-ray Operators and the BMS Algebra
- On the need for soft dressing
- On operator growth and emergent Poincaré symmetries
- Monopoles in 2+1-dimensional conformal field theories with global U(1) symmetry
- Compressible quantum phases from conformal field theories in 2+1 dimensions
- AdS/CFT Correspondence in Operator Formalism
- A Note on AdS/CFT Dual of SL(2,Z) Action on 3D Conformal Field Theories with U(1) Symmetry
- Remarks on Dirac-like Monopole, Maxwell and Maxwell-Chern-Simons Electrodynamics in D=(2+1)
- Dirac-like Monopoles in Three Dimensions and Their Possible Influences on the Dynamics of Particles
Cited by in corpus (28)
- Bridging Carrollian and Celestial Holography
- AdS Witten Diagrams to Carrollian Correlators
- Landau diagrams in AdS and S-matrices from conformal correlators
- The SAGEX Review on Scattering Amplitudes, Chapter 11: Soft Theorems and Celestial Amplitudes
- Lectures on Celestial Holography
- Notes on flat-space limit of AdS/CFT
- Scattering Equations in AdS: Scalar Correlators in Arbitrary Dimensions
- Swampland Conditions for Higher Derivative Couplings from CFT
- Chaos in Celestial CFT
- corrected soft photon theorem from a CFT Ward identity
- Soft Photon theorem in the small negative cosmological constant limit
- AdS correction to the Faddeev-Kulish state: Migrating from the Flat Peninsula
- Bootstrapping Witten diagrams via differential representation in Mellin space
- Classical Soft Theorem in the AdS-Schwarzschild spacetime in small cosmological constant limit
- Soft and Collinear Limits in Supergravity using Double Copy Formalism
- Can one hear the shape of a wormhole?
- Radiation in Fluid/Gravity and the Flat Limit
- -Form Surface Charges on AdS: Renormalization and Conservation
- A Carroll Limit of AdS/CFT: A Triality with Flat Space Holography?
- BMS Symmetry via AdS/CFT
- Soft Limits of Gluon and Graviton Correlators in Anti-de Sitter Space
- Soft theorems in de Sitter spacetime
- Celestial Eikonal Amplitudes in the Near-Horizon Region
- Perturbative soft graviton theorems in de Sitter spacetime
- Celestial Holography
- Electromagnetic duality and central charge from first order formulation
- Nonperfect Carrollian Fluids Through Holography
- Quantum fields on projective geometries