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. doi:10.1007/JHEP06(2016)098. https://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:

URL	URL Type	Description
http://dx.doi.org/10.1007/JHEP06(2016)098	DOI	Article
http://arxiv.org/abs/1512.08591	arXiv	Discussion Paper

ORCID:

Author	ORCID
Bern, Zvi	0000-0001-9075-9501
Herrmann, Enrico	0000-0002-3983-2993

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 Agency	Grant Number
Department of Energy (DOE)	DE-SC0009937
Department of Energy (DOE)	DE-SC0011632
David and Ellen Lee Postdoctoral Scholarship	UNSPECIFIED
Dominic Orr Graduate Fellowship	UNSPECIFIED
Simons Foundation	UNSPECIFIED

Subject Keywords:

Scattering Amplitudes Extended Supersymmetry

Other Numbering System:

Other Numbering System Name	Other Numbering System ID
CALT-TH	2015-064

Issue or Number:

DOI:

10.1007/JHEP06(2016)098

Record Number:

CaltechAUTHORS:20160113-133121671

Persistent URL:

https://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:

10 Nov 2021 23:19

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