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Gravity in Twistor Space and its Grassmannian Formulation
Репозиторій DSpace/Manakin
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- Фізико-технічні та математичні науки
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2014, том 10
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Gravity in Twistor Space and its Grassmannian Formulation
Інший ID:
2010 Mathematics Subject Classification: 53C28
DOI:10.3842/SIGMA.2014.051
DOI:10.3842/SIGMA.2014.051
Посилання:
Gravity in Twistor Space and its Grassmannian Formulation / F. Cachazo, L. Mason, D. Skinner // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 36 назв. — англ.
Підтримка:
This paper is a contribution to the Special Issue on Progress in Twistor Theory. The full collection is available
at http://www.emis.de/journals/SIGMA/twistors.html.
This work is supported by the Perimeter Institute for Theoretical Physics. Research at the
Perimeter Institute is supported by the Government of Canada through Industry Canada and by
the Province of Ontario through the Ministry of Research and Innovation. The work of FC is
supported in part by the NSERC of Canada and MEDT of Ontario. LM is supported by
a Leverhulme Fellowship.
Дата:
2014
Переглядів:
545
Завантажень:
290
Анотація:
We prove the formula for the complete tree-level S-matrix of 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.
