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Gravity On-shell Diagrams

Herrmann, Enrico and Trnka, Jaroslav (2016) Gravity On-shell Diagrams. Journal of High Energy Physics, 2016 (11). Art. No. 136. ISSN 1126-6708. http://resolver.caltech.edu/CaltechAUTHORS:20160414-104000545

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Abstract

We study on-shell diagrams for gravity theories with any number of super-symmetries and find a compact Grassmannian formula in terms of edge variables of the graphs. Unlike in gauge theory where the analogous form involves only d log-factors, in gravity there is a non-trivial numerator as well as higher degree poles in the edge variables. Based on the structure of the Grassmannian formula for =8N=8 supergravity we conjecture that gravity loop amplitudes also possess similar properties. In particular, we find that there are only logarithmic singularities on cuts with finite loop momentum and that poles at infinity are present, in complete agreement with the conjecture presented in [1].


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1007/JHEP11(2016)136DOIArticle
http://link.springer.com/article/10.1007%2FJHEP11%282016%29136PublisherArticle
http://arxiv.org/abs/1604.03479arXivDiscussion Paper
Additional Information:© The Author(s) 2016. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited. Article funded by SCOAP3. Received: June 7, 2016. Revised: September 11, 2016. Accepted: November 10, 2016. Published: November 22, 2016. We thank Nima Arkani-Hamed, Zvi Bern, Jacob Bourjaily, Sean Litsey and James Stankowicz for interesting discussions. Most figures are drawn with the Mathematica package [87]. E. H. is supported in part by a Dominic Orr Graduate Fellowship and by DOE Grant # DE-SC0011632.
Group:Walter Burke Institute for Theoretical Physics
Funders:
Funding AgencyGrant Number
Dominic Orr Graduate FellowshipUNSPECIFIED
Department of Energy (DOE)DE-SC0011632
Subject Keywords:Scattering Amplitudes; Spacetime Singularities
Other Numbering System:
Other Numbering System NameOther Numbering System ID
CALT-TH2016-006
Record Number:CaltechAUTHORS:20160414-104000545
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20160414-104000545
Official Citation:Herrmann, E. & Trnka, J. J. High Energ. Phys. (2016) 2016: 136. doi:10.1007/JHEP11(2016)136
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:66166
Collection:CaltechAUTHORS
Deposited By: Joy Painter
Deposited On:14 Apr 2016 17:48
Last Modified:22 Dec 2016 19:11

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