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Towards the n-point one-loop superstring amplitude: Part I. Pure spinors and superfield kinematics

Towards the n-point one-loop superstring amplitude: Part I. Pure spinors and superfield kinematics
Towards the n-point one-loop superstring amplitude: Part I. Pure spinors and superfield kinematics
This is the first installment of a series of three papers in which we describe a method to determine higher-point correlation functions in one-loop open-superstring amplitudes from first principles. In this first part, we exploit the synergy between the cohomological features of pure-spinor superspace and the pure-spinor zero-mode integration rules of the one-loop amplitude prescription. This leads to the study of a rich variety of multiparticle superfields which are local, have covariant BRST variations, and are compatible with the particularities of the pure-spinor amplitude prescription. Several objects related to these superfields, such as their non-local counterparts and the so-called BRST pseudo-invariants, are thoroughly reviewed and put into new light. Their properties will turn out to be mysteriously connected to products of one-loop worldsheet functions in packages dubbed "generalized elliptic integrands", whose prominence will be seen in the later parts of this series of papers.
hep-th
1029-8479
1-61
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 (2019) Towards the n-point one-loop superstring amplitude: Part I. Pure spinors and superfield kinematics. Journal of High Energy Physics, (90), 1-61. (doi:10.1007/JHEP08(2019)090).

Record type: Article

Abstract

This is the first installment of a series of three papers in which we describe a method to determine higher-point correlation functions in one-loop open-superstring amplitudes from first principles. In this first part, we exploit the synergy between the cohomological features of pure-spinor superspace and the pure-spinor zero-mode integration rules of the one-loop amplitude prescription. This leads to the study of a rich variety of multiparticle superfields which are local, have covariant BRST variations, and are compatible with the particularities of the pure-spinor amplitude prescription. Several objects related to these superfields, such as their non-local counterparts and the so-called BRST pseudo-invariants, are thoroughly reviewed and put into new light. Their properties will turn out to be mysteriously connected to products of one-loop worldsheet functions in packages dubbed "generalized elliptic integrands", whose prominence will be seen in the later parts of this series of papers.

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1812.10969v2 - Accepted Manuscript
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Accepted/In Press date: 29 July 2019
e-pub ahead of print date: 20 August 2019
Additional Information: 72 pp, v2 published version
Keywords: hep-th

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Local EPrints ID: 435036
URI: http://eprints.soton.ac.uk/id/eprint/435036
ISSN: 1029-8479
PURE UUID: a1cb8644-ab06-4a6b-a978-7e0498266d9f
ORCID for Carlos R. Mafra: ORCID iD orcid.org/0000-0001-9842-9654

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Date deposited: 18 Oct 2019 16:30
Last modified: 17 Dec 2019 01:36

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Author: Carlos R. Mafra ORCID iD
Author: Oliver Schlotterer

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