Herrmann, Enrico and Trnka, Jaroslav (2016) Gravity On-shell Diagrams. Journal of High Energy Physics, 2016 (11). Art. No. 136. ISSN 1126-6708. doi:10.1007/JHEP11(2016)136. https://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].
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| 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 | |||||||||
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| Subject Keywords: | Scattering Amplitudes; Spacetime Singularities | |||||||||
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| Issue or Number: | 11 | |||||||||
| DOI: | 10.1007/JHEP11(2016)136 | |||||||||
| Record Number: | CaltechAUTHORS:20160414-104000545 | |||||||||
| Persistent URL: | https://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: | 10 Nov 2021 23:54 |
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