Towards the n-point one-loop superstring amplitude III: One-loop correlators and their double-copy structure
Towards the n-point one-loop superstring amplitude III: One-loop correlators and their double-copy structure
In this final part of a series of three papers, we will assemble supersymmetric expressions for one-loop correlators in pure-spinor superspace that are BRST invariant, local, and single valued. A key driving force in this construction is the generalization of a so far unnoticed property at tree level; the correlators have the symmetry structure akin to Lie polynomials. One-loop correlators up to seven points are presented in a variety of representations manifesting different subsets of their defining properties. These expressions are related via identities obeyed by the kinematic superfields and worldsheet functions spelled out in the first two parts of this series and reflecting a duality between the two kinds of ingredients. Interestingly, the expression for the eight-point correlator following from our method seems to capture correctly all the dependence on the worldsheet punctures but leaves undetermined the coefficient of the holomorphic Eisenstein series ${\rm G}_4$. By virtue of chiral splitting, closed-string correlators follow from the double copy of the open-string results.
hep-th
Mafra, Carlos R.
5a40c14f-0ddb-4c0c-9ce5-acabc537cd01
Schlotterer, Oliver
d30fbe50-b9eb-489a-ad79-0dd212ef4e0e
August 2019
Mafra, Carlos R.
5a40c14f-0ddb-4c0c-9ce5-acabc537cd01
Schlotterer, Oliver
d30fbe50-b9eb-489a-ad79-0dd212ef4e0e
Mafra, Carlos R. and Schlotterer, Oliver
(2019)
Towards the n-point one-loop superstring amplitude III: One-loop correlators and their double-copy structure.
Journal of High Energy Physics, 92.
(doi:10.1007/JHEP08(2019)092).
Abstract
In this final part of a series of three papers, we will assemble supersymmetric expressions for one-loop correlators in pure-spinor superspace that are BRST invariant, local, and single valued. A key driving force in this construction is the generalization of a so far unnoticed property at tree level; the correlators have the symmetry structure akin to Lie polynomials. One-loop correlators up to seven points are presented in a variety of representations manifesting different subsets of their defining properties. These expressions are related via identities obeyed by the kinematic superfields and worldsheet functions spelled out in the first two parts of this series and reflecting a duality between the two kinds of ingredients. Interestingly, the expression for the eight-point correlator following from our method seems to capture correctly all the dependence on the worldsheet punctures but leaves undetermined the coefficient of the holomorphic Eisenstein series ${\rm G}_4$. By virtue of chiral splitting, closed-string correlators follow from the double copy of the open-string results.
Text
1812.10971v2
- Accepted Manuscript
Text
Mafra-Schlotterer2019_Article_TowardsTheN-pointOne-loopSuper
- Version of Record
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Accepted/In Press date: 29 July 2019
e-pub ahead of print date: 20 August 2019
Published date: August 2019
Keywords:
hep-th
Identifiers
Local EPrints ID: 435035
URI: http://eprints.soton.ac.uk/id/eprint/435035
ISSN: 1029-8479
PURE UUID: 1c60020e-39d0-4a66-9256-8c9ecdb26720
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Date deposited: 18 Oct 2019 16:30
Last modified: 17 Mar 2024 03:33
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Author:
Oliver Schlotterer
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