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
Broedel, Johannes
a59c8726-a6f4-460b-8412-c20d32ce7d27
Mafra, Carlos R.
5a40c14f-0ddb-4c0c-9ce5-acabc537cd01
Matthes, Nils
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Schlotterer, Oliver
d30fbe50-b9eb-489a-ad79-0dd212ef4e0e
28 July 2015
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, 2015 (7), [112].
(doi:10.1007/JHEP07(2015)112).
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
Text
Broedel 2015 Article Elliptic Multiple Zeta Values
- Version of Record
More information
Accepted/In Press date: 22 June 2015
e-pub ahead of print date: 21 July 2015
Published date: 28 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
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Date deposited: 17 Oct 2019 16:30
Last modified: 17 Mar 2024 03:33
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Author:
Johannes Broedel
Author:
Nils Matthes
Author:
Oliver Schlotterer
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