Gravity with a cosmological constant from rational curves

A bstract We give a new formula for all tree-level correlators of boundary field insertions in gauged N = 8 supergravity in AdS 4 ; 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...

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Veröffentlicht in:The journal of high energy physics 2015-11, Vol.2015 (11), p.1-20, Article 98
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description A bstract We give a new formula for all tree-level correlators of boundary field insertions in gauged N = 8 supergravity in AdS 4 ; 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 M H V ¯ and n -point MHV. We also show that the formula factorizes and obeys BCFW recursion in twistor space.
doi_str_mv 10.1007/JHEP11(2015)098
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subjects Classical and Quantum Gravitation
Cosmological constant
Elementary Particles
Gages
Gauges
High energy physics
Insertion
Perturbation theory
Physics
Physics and Astronomy
Polynomials
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
String Theory
Supergravity
Supersymmetry
title Gravity with a cosmological constant from rational curves
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