Gravity in Twistor Space and its Grassmannian Formulation

Journal article

We prove the formula for the complete tree-level $S$-matrix of $\mathcal{N}=8$ supergravity recently conjectured by two of the authors. The proof proceeds by showing that the new formula satisfies the same BCFW recursion relations that physical amplitudes are known to satisfy, with the same initial conditions. As part of the proof, the behavior of the new formula under large BCFW deformations is studied. An unexpected bonus of the analysis is a very straightforward proof of the enigmatic $1/z...

Expand abstract

Authors: Cachazo, F; Mason, L; Skinner, D

• Publication status: Published
• Journal: SIGMA 10
• Volume: 051
• Pages: 28
• Publication date: 2012-07-19
• DOI: 10.3842/SIGMA.2014.051
• EISSN: 1815-0659
• ISSN: 1815-0659
• Keywords: gr-qc; hep-th