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This article is cited in 47 scientific papers (total in 47 papers)
Gravity in Twistor Space and its Grassmannian Formulation
Freddy Cachazoa, Lionel Masonb, David Skinnerc a Perimeter Institute for Theoretical Physics, 31 Caroline St., Waterloo, Ontario N2L 2Y5, Canada
b The Mathematical Institute, 24-29 St. Giles’, Oxford OX1 3LB, UK
c DAMTP, Centre for Mathematical Sciences, Wilberforce Road, Cambridge CB3 0WA, UK
Abstract:
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 $1/z^2$ behavior of gravity. In addition, we provide a description of gravity amplitudes as a multidimensional contour integral over a Grassmannian. The Grassmannian formulation has a very simple structure; in the N$^{k-2}$MHV sector the integrand is essentially the product of that of an MHV and an $\overline{{\rm MHV}}$ amplitude, with $k+1$ and $n-k-1$ particles respectively.
Keywords:
twistor theory; scattering amplitudes; gravity.
Received: November 21, 2013; in final form April 23, 2014; Published online May 1, 2014
Citation:
Freddy Cachazo, Lionel Mason, David Skinner, “Gravity in Twistor Space and its Grassmannian Formulation”, SIGMA, 10 (2014), 051, 28 pp.
Linking options:
https://www.mathnet.ru/eng/sigma916 https://www.mathnet.ru/eng/sigma/v10/p51
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Abstract page: | 264 | Full-text PDF : | 43 | References: | 40 |
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