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Evidence for a Nonplanar Amplituhedron

Bern, Zvi and Herrmann, Enrico and Litsey, Sean and Stankowicz, James and Trnka, Jaroslav (2016) Evidence for a Nonplanar Amplituhedron. Journal of High Energy Physics, 2016 (6). Art. No. 098. ISSN 1126-6708. http://resolver.caltech.edu/CaltechAUTHORS:20160113-133121671

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Abstract

The scattering amplitudes of planar N = 4 super-Yang-Mills exhibit a number of remarkable analytic structures, including dual conformal symmetry and logarithmic singularities of integrands. The amplituhedron is a geometric construction of the integrand that incorporates these structures. This geometric construction further implies the amplitude is fully specified by constraining it to vanish on spurious residues. By writing the amplitude in a dlog basis, we provide nontrivial evidence that these analytic properties and “zero conditions” carry over into the nonplanar sector. This suggests that the concept of the amplituhedron can be extended to the nonplanar sector of N = 4 super-Yang-Mills theory.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1007/JHEP06(2016)098DOIArticle
http://link.springer.com/article/10.1007/JHEP06%282016%29098PublisherArticle
http://arxiv.org/abs/1512.08591arXivDiscussion Paper
Additional Information:© The Author(s) 2016. JHEP is an open-access journal funded by SCOAP3 and licensed under CC BY 4.0. 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. First Online: 17 June 2016. This work was supported in part by the US Department of Energy under Award Number DE-SC0009937 and DE-SC0011632. J. T. is supported in part by the David and Ellen Lee Postdoctoral Scholarship. E. H. is supported in part by a Dominic Orr Graduate Fellowship. Z. B. is grateful to the Simons Foundation for support.
Group:Walter Burke Institute for Theoretical Physics
Funders:
Funding AgencyGrant Number
Department of Energy (DOE)DE-SC0009937
Department of Energy (DOE)DE-SC0011632
David and Ellen Lee Postdoctoral ScholarshipUNSPECIFIED
Dominic Orr Graduate FellowshipUNSPECIFIED
Simons FoundationUNSPECIFIED
Subject Keywords:Scattering Amplitudes Extended Supersymmetry
Other Numbering System:
Other Numbering System NameOther Numbering System ID
CALT-TH2015-064
Record Number:CaltechAUTHORS:20160113-133121671
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20160113-133121671
Official Citation:Bern, Z., Herrmann, E., Litsey, S. et al. J. High Energ. Phys. (2016) 2016: 98. doi:10.1007/JHEP06(2016)098
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:63649
Collection:CaltechAUTHORS
Deposited By: Joy Painter
Deposited On:13 Jan 2016 21:42
Last Modified:29 Jul 2016 16:37

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