The structure of n-point one-loop open superstring amplitudes
The structure of n-point one-loop open superstring amplitudes
In this article we present the worldsheet integrand for one-loop amplitudes in maximally supersymmetric superstring theory involving any number n of massless open string states. The polarization dependence is organized into the same BRST invariant kinematic combinations which also govern the leading string correction to tree level amplitudes. The dimensions of the bases for both the kinematics and the associated worldsheet integrals is found to be the unsigned Stirling number S_3^{n-1} of first kind. We explain why the same combinatorial structures govern on the one hand finite one-loop amplitudes of equal helicity states in pure Yang Mills theory and on the other hand the color tensors at quadratic alpha prime order of the color dressed tree amplitude.
hep-th
Mafra, Carlos R.
5a40c14f-0ddb-4c0c-9ce5-acabc537cd01
Schlotterer, Oliver
d30fbe50-b9eb-489a-ad79-0dd212ef4e0e
Mafra, Carlos R.
5a40c14f-0ddb-4c0c-9ce5-acabc537cd01
Schlotterer, Oliver
d30fbe50-b9eb-489a-ad79-0dd212ef4e0e
Mafra, Carlos R. and Schlotterer, Oliver
(2014)
The structure of n-point one-loop open superstring amplitudes.
Journal of High Energy Physics, (99).
(doi:10.1007/JHEP08(2014)099).
Abstract
In this article we present the worldsheet integrand for one-loop amplitudes in maximally supersymmetric superstring theory involving any number n of massless open string states. The polarization dependence is organized into the same BRST invariant kinematic combinations which also govern the leading string correction to tree level amplitudes. The dimensions of the bases for both the kinematics and the associated worldsheet integrals is found to be the unsigned Stirling number S_3^{n-1} of first kind. We explain why the same combinatorial structures govern on the one hand finite one-loop amplitudes of equal helicity states in pure Yang Mills theory and on the other hand the color tensors at quadratic alpha prime order of the color dressed tree amplitude.
Text
1203.6215v2
- Accepted Manuscript
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e-pub ahead of print date: 18 August 2014
Additional Information:
75 pp, 8 figs, harvmac TeX, v2: published version
Keywords:
hep-th
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Local EPrints ID: 435002
URI: http://eprints.soton.ac.uk/id/eprint/435002
ISSN: 1029-8479
PURE UUID: c0cfd7e6-da6a-4191-919a-4d4961b6e778
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Date deposited: 17 Oct 2019 16:30
Last modified: 17 Mar 2024 03:33
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Author:
Oliver Schlotterer
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