The University of Southampton
University of Southampton Institutional Repository

Elliptic multiple zeta values and one-loop superstring amplitudes

Elliptic multiple zeta values and one-loop superstring amplitudes
Elliptic multiple zeta values and one-loop superstring amplitudes
We investigate iterated integrals on an elliptic curve, which are a natural genus-one generalization of multiple polylogarithms. These iterated integrals coincide with the multiple elliptic polylogarithms introduced by Brown and Levin when constrained to the real line. At unit argument they reduce to an elliptic analogue of multiple zeta values, whose network of relations we start to explore. A simple and natural application of this framework are one-loop scattering amplitudes in open superstring theory. In particular, elliptic multiple zeta values are a suitable language to express their low energy limit. Similar to the techniques available at tree-level, our formalism allows to completely automatize the calculation.
hep-th, math.NT
1029-8479
1-43
Broedel, Johannes
a59c8726-a6f4-460b-8412-c20d32ce7d27
Mafra, Carlos R.
5a40c14f-0ddb-4c0c-9ce5-acabc537cd01
Matthes, Nils
915c0557-e84b-4a0c-893e-a79e40556ba9
Schlotterer, Oliver
d30fbe50-b9eb-489a-ad79-0dd212ef4e0e
Broedel, Johannes
a59c8726-a6f4-460b-8412-c20d32ce7d27
Mafra, Carlos R.
5a40c14f-0ddb-4c0c-9ce5-acabc537cd01
Matthes, Nils
915c0557-e84b-4a0c-893e-a79e40556ba9
Schlotterer, Oliver
d30fbe50-b9eb-489a-ad79-0dd212ef4e0e

Broedel, Johannes, Mafra, Carlos R., Matthes, Nils and Schlotterer, Oliver (2015) Elliptic multiple zeta values and one-loop superstring amplitudes. Journal of High Energy Physics, (112), 1-43. (doi:10.1007/JHEP07(2015)112).

Record type: Article

Abstract

We investigate iterated integrals on an elliptic curve, which are a natural genus-one generalization of multiple polylogarithms. These iterated integrals coincide with the multiple elliptic polylogarithms introduced by Brown and Levin when constrained to the real line. At unit argument they reduce to an elliptic analogue of multiple zeta values, whose network of relations we start to explore. A simple and natural application of this framework are one-loop scattering amplitudes in open superstring theory. In particular, elliptic multiple zeta values are a suitable language to express their low energy limit. Similar to the techniques available at tree-level, our formalism allows to completely automatize the calculation.

Text
1412.5535v3 - Accepted Manuscript
Download (851kB)

More information

e-pub ahead of print date: 21 July 2015
Additional Information: 39 pages, 1 figure, v2: minor corrections, published version, v3: minor corrections in eqs.(4.5) to (4.9), (4.31) and (4.36)
Keywords: hep-th, math.NT

Identifiers

Local EPrints ID: 434998
URI: http://eprints.soton.ac.uk/id/eprint/434998
ISSN: 1029-8479
PURE UUID: 376a3a45-47e2-4e74-a36c-09471d6db9ca
ORCID for Carlos R. Mafra: ORCID iD orcid.org/0000-0001-9842-9654

Catalogue record

Date deposited: 17 Oct 2019 16:30
Last modified: 03 Dec 2019 01:35

Export record

Altmetrics

Contributors

Author: Johannes Broedel
Author: Carlos R. Mafra ORCID iD
Author: Nils Matthes
Author: Oliver Schlotterer

University divisions

Download statistics

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics

Atom RSS 1.0 RSS 2.0

Contact ePrints Soton: eprints@soton.ac.uk

ePrints Soton supports OAI 2.0 with a base URL of http://eprints.soton.ac.uk/cgi/oai2

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.

×