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Plahte diagrams for string scattering amplitudes

Srisangyingcharoen, Pongwit and Mansfield, Paul (2021) 'Plahte diagrams for string scattering amplitudes.', Journal of High Energy Physics, 2021 (4).


Plahte identities are monodromy relations between open string scattering amplitudes at tree level derived from the Koba-Nielsen formula. We represent these identities by polygons in the complex plane. These diagrams make manifest the appearance of sign changes and singularities in the analytic continuation of amplitudes. They provide a geometric expression of the KLT relations between closed and open string amplitudes. We also connect the diagrams to the BCFW on-shell recursion relations and generalise them to complex momenta resulting in a relation between the complex phases of partial amplitudes.

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Publisher statement:Open Access . This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
Date accepted:04 February 2021
Date deposited:27 July 2021
Date of first online publication:01 April 2021
Date first made open access:27 July 2021

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