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Superstring amplitudes, unitarily, and Hankel determinants of multiple zeta values

Published version
Peer-reviewed

Type

Article

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Authors

Abstract

jats:titleAjats:scbstract</jats:sc> </jats:title>jats:pThe interplay of unitarity and analyticity has long been known to impose strong constraints on scattering amplitudes in quantum field theory and string theory. This has been highlighted in recent times in a number of papers and lecture notes. Here we examine such conditions in the context of superstring tree-level scattering amplitudes, leading to positivity constraints on determinants of Hankel matrices involving polynomials of multiple zeta values. These generalise certain constraints on polynomials of single zeta values in the mathematics literature.</jats:p>

Description

Keywords

Effective Field Theories, Scattering Amplitudes, Superstrings and Heterotic Strings

Journal Title

Journal of High Energy Physics

Conference Name

Journal ISSN

1126-6708
1029-8479

Volume Title

2019

Publisher

Springer Science and Business Media LLC