Journal of High Energy Physics· 2015Q2
Elliptic multiple zeta values and one-loop superstring amplitudes
- 194citations
- Q2SCImago
- 2015year
Short summary
A new framework using elliptic multiple zeta values (EMZVs) is introduced to express the low-energy limit of one-loop superstring scattering amplitudes, enabling automated calculations.
AI-generated from the title and abstract; the full text is not read.
Key points
- Introduces elliptic multiple zeta values (EMZVs) as a genus-one generalization of multiple polylogarithms.
- EMZVs reduce to an elliptic analogue of multiple zeta values at unit argument.
- EMZVs are a suitable language for expressing the low-energy limit of one-loop superstring scattering amplitudes.
- The formalism allows for the complete automation of calculations for these amplitudes.
AI-generated from the title and abstract; the full text is not read.
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.
The authors' abstract, as published at the source. Journal of High Energy Physics, 2015 · DOI ↗
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Field: Algebra and Number Theory
Algebra and Number TheoryMathematics