Perturbative gravity at null infinity

Abstract

We describe a theory that lives on the null conformal boundary of asymptotically flat space-time, and whose states encode the radiative modes of (super)gravity. We study the induced action of the BMS group, verifying that the Ward identity for certain BMS supertranslations is equivalent to Weinberg's soft graviton theorem in the bulk. The subleading behaviour of soft gravitons may also be obtained from a Ward identity for certain superrotation generators in the extended BMS algebra proposed by Barnich & Troessaert. We show that the theory computes the complete classical gravitational S-matrix, perturbatively around the Minkowski vacuum.

14 pages, no figures. v2: typos corrected, references added

References in corpus (4)

• The BMS/GCA correspondence
• Ambitwistor strings in 4-dimensions
• Subleading soft theorem in arbitrary dimension from scattering equations
• Gravity from Rational Curves

Cited by in corpus (11)

• Asymptotic symmetries and subleading soft graviton theorem
• Next-to-soft corrections to high energy scattering in QCD and gravity
• Next to subleading soft-graviton theorem in arbitrary dimensions
• Perturbative gauge theory at null infinity
• A Worldsheet Theory for Supergravity
• A note on asymptotic symmetries and soft-photon theorem
• Amplitudes on plane waves from ambitwistor strings
• Horizon supertranslation and degenerate black hole solutions
• First order gravity on the light front
• Note on Soft Graviton theorem by KLT Relation
• Soft Theorem of N=4 SYM in Grassmannian Formulation