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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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2014 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2014
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/146692 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862733134222589952 |
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| author | Cachazo, F. Mason, L. |
| author_facet | Cachazo, F. Mason, L. |
| 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| 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.
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| first_indexed | 2025-12-07T19:35:59Z |
| format | Article |
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| id | nasplib_isofts_kiev_ua-123456789-146692 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T19:35:59Z |
| publishDate | 2014 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Cachazo, F. Mason, L. 2019-02-10T19:00:24Z 2019-02-10T19:00:24Z 2014 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 https://nasplib.isofts.kiev.ua/handle/123456789/146692 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. 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. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Gravity in Twistor Space and its Grassmannian Formulation Article published earlier |
| spellingShingle | Gravity in Twistor Space and its Grassmannian Formulation Cachazo, F. Mason, L. |
| title | 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_short | Gravity in Twistor Space and its Grassmannian Formulation |
| title_sort | gravity in twistor space and its grassmannian formulation |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/146692 |
| work_keys_str_mv | AT cachazof gravityintwistorspaceanditsgrassmannianformulation AT masonl gravityintwistorspaceanditsgrassmannianformulation |