Work

Two dialects for KZB equations: generating one-loop open-string integrals

Year: 2020

Type: article

Abstract: Two different constructions generating the low-energy expansion of genus-one configuration-space integrals appearing in one-loop open-string amplitudes have been put forward in refs. [1–3]. We are going to show that both approaches can be traced back to an elliptic system of Knizhnik-Zamolodchikov-Bernard(KZB) type on the twice-punctured torus. We derive an explicit all-multiplicity representation of the elliptic KZB system for a vector of iterated integrals with an extra marked point and explore compatibility conditions for the two sets of algebra generators appearing in the two differential equations.

Source: Journal of High Energy Physics

DOI: 10.1007/jhep12(2020)036

Authors: Johannes Broedel, André Kaderli, Oliver Schlotterer

Institutions: Humboldt-Universität zu Berlin, Max Planck Institute for Gravitational Physics, Uppsala University

Language: English

Topic: Black Holes and Theoretical Physics

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: diamond

Funders: International Max Planck Research School for Environmental, Cellular and Molecular Microbiology, H2020 European Research Council

Award: The unity of scattering amplitudes: gauge theory, gravity, strings and number theory