Tree-level Correlators of scalar and vector fields in AdS/CFT
arXiv:1308.2515 · doi:10.1007/JHEP11(2013)159
Abstract
Extending earlier results by Paulos, we discuss further the use of the embedding formalism and Mellin transform in the calculation of tree-level correlators of scalar and vector fields in AdS/CFT. We present an iterative procedure that builds amplitudes by sewing together lower-point off-shell diagrams. Both scalar and vector correlators are shown to be given in terms of Mellin amplitudes. We apply the procedure to the explicit calculation of three-, four- and five-point correlators.
21 pages
References in corpus (4)
Cited by in corpus (15)
- An étude of momentum space scalar amplitudes in AdS
- New relation for AdS amplitudes
- On the Differential Representation and Color-Kinematics Duality of AdS Boundary Correlators
- Towards the higher point holographic momentum space amplitudes II: Gravitons
- The Cosmological Bootstrap: Spinning Correlators from Symmetries and Factorization
- On spinning loop amplitudes in Anti-de Sitter space
- Opacity from Loops in AdS
- Towards Feynman rules for conformal blocks
- Mellin Amplitudes for Fermionic Conformal Correlators
- Towards the higher point holographic momentum space amplitudes
- All plus four point (A)dS graviton function using generalized on-shell recursion relation
- Recursion Relations in -adic Mellin Space
- Notes on weight-shifting operators and unifying relations for cosmological correlators
- BCJ Amplitude Relations for Anti-de Sitter Boundary Correlators in Embedding Space
- Constructing CFTs from AdS flows