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  Note on Bonus Relations for N=8 Supergravity Tree Amplitudes

He, S., Nandan, D., & Wen, C. (2011). Note on Bonus Relations for N=8 Supergravity Tree Amplitudes. Journal of high energy physics: JHEP, 2011(2): 005. doi:10.1007/JHEP02(2011)005.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0012-D195-1 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0012-D198-C
Genre: Journal Article

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1011.4287 (Preprint), 626KB
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 Creators:
He, Song1, Author              
Nandan, Dhritiman, Author
Wen, Congkao, Author
Affiliations:
1Canonical and Covariant Dynamics of Quantum Gravity, AEI Golm, MPI for Gravitational Physics, Max Planck Society, escidoc:102878              

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Free keywords: High Energy Physics - Theory, hep-th
 Abstract: We study the application of non-trivial relations between gravity tree amplitudes, the bonus relations, to all tree-level amplitudes in N=8 supergravity. We show that the relations can be used to simplify explicit formulae of supergravity tree amplitudes, by reducing the known form as a sum of (n-2)! permutations obtained by solving on-shell recursion relations, to a new form as a (n-3)!-permutation sum. We demonstrate the simplification by explicit calculations of the next-to-maximally helicity violating (NMHV) and next-to-next-to-maximally helicity violating (N^2MHV) amplitudes, and provide a general pattern of bonus coefficients for all tree-level amplitudes.

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 Dates: 2010-11-182010-11-252010-11-202011
 Publication Status: Published in print
 Pages: 21 pages, 9 figures; v2, minor changes, references added
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 Rev. Method: -
 Identifiers: arXiv: 1011.4287
URI: http://arxiv.org/abs/1011.4287
DOI: 10.1007/JHEP02(2011)005
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Title: Journal of high energy physics : JHEP
Source Genre: Journal
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Publ. Info: Bologna, Italy : Società italiana di fisica
Pages: - Volume / Issue: 2011 (2) Sequence Number: 005 Start / End Page: - Identifier: ISSN: 1126-6708
CoNE: http://pubman.mpdl.mpg.de/cone/journals/resource/111021927548002