Work

Gravity with a cosmological constant from rational curves

Year: 2015
Type: article
Abstract: We give a new formula for all tree-level correlators of boundary field insertions in gauged $$ \mathcal{N}=8 $$ supergravity in AdS4; this is an analogue of the tree-level S-matrix in anti-de Sitter space. The formula is written in terms of rational maps from the Riemann sphere to twistor space, with no reference to bulk perturbation theory. It is polynomial in the cosmological constant, and equal to the classical scattering amplitudes of supergravity in the flat space limit. The formula is manifestly supersymmetric, independent of gauge choices on twistor space, and equivalent to expressions computed via perturbation theory at 3-point $$ \overline{\mathrm{MHV}} $$ and n-point MHV. We also show that the formula factorizes and obeys BCFW recursion in twistor space.
Author: Tim Adamo
Language: English
Open Access status: diamond
OpenAlex ID: W1961882095
FWCI: 1.17
Cites: 70
Cited by: 25
Related to: 10