Gravity in Twistor Space and its Grassmannian Formulation
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...
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| Datum: | 2014 |
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| Format: | Artikel |
| Sprache: | English |
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Інститут математики НАН України
2014
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| Schriftenreihe: | Symmetry, Integrability and Geometry: Methods and Applications |
| Online Zugang: | http://dspace.nbuv.gov.ua/handle/123456789/146692 |
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| Zitieren: | 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. |
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irk-123456789-1466922019-02-11T01:25:11Z Gravity in Twistor Space and its Grassmannian Formulation Cachazo, F. Mason, L. 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. 2014 Article 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. 1815-0659 2010 Mathematics Subject Classification: 53C28 DOI:10.3842/SIGMA.2014.051 http://dspace.nbuv.gov.ua/handle/123456789/146692 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
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. |
| format |
Article |
| author |
Cachazo, F. Mason, L. |
| spellingShingle |
Cachazo, F. Mason, L. Gravity in Twistor Space and its Grassmannian Formulation Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Cachazo, F. Mason, L. |
| author_sort |
Cachazo, F. |
| title |
Gravity in Twistor Space and its Grassmannian Formulation |
| title_short |
Gravity in Twistor Space and its Grassmannian Formulation |
| title_full |
Gravity in Twistor Space and its Grassmannian Formulation |
| title_fullStr |
Gravity in Twistor Space and its Grassmannian Formulation |
| title_full_unstemmed |
Gravity in Twistor Space and its Grassmannian Formulation |
| title_sort |
gravity in twistor space and its grassmannian formulation |
| publisher |
Інститут математики НАН України |
| publishDate |
2014 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/146692 |
| citation_txt |
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. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT cachazof gravityintwistorspaceanditsgrassmannianformulation AT masonl gravityintwistorspaceanditsgrassmannianformulation |
| first_indexed |
2025-07-11T00:26:18Z |
| last_indexed |
2025-07-11T00:26:18Z |
| _version_ |
1837308134403604480 |