Evidence for a Nonplanar Amplituhedron
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.
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.Attached Files
Published - art_10.1007_JHEP06_2016_098.pdf
Submitted - 1512.08591v1.pdf
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Additional details
- Eprint ID
- 63649
- Resolver ID
- CaltechAUTHORS:20160113-133121671
- DE-SC0009937
- Department of Energy (DOE)
- DE-SC0011632
- Department of Energy (DOE)
- David and Ellen Lee Postdoctoral Scholarship
- Dominic Orr Graduate Fellowship
- Simons Foundation
- Created
-
2016-01-13Created from EPrint's datestamp field
- Updated
-
2021-11-10Created from EPrint's last_modified field
- Caltech groups
- Walter Burke Institute for Theoretical Physics
- Other Numbering System Name
- CALT-TH
- Other Numbering System Identifier
- 2015-064