Heterotic-string amplitudes at one loop: modular graph forms and relations to open strings View Full Text


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Article Info

DATE

2019-01

AUTHORS

Jan E. Gerken, Axel Kleinschmidt, Oliver Schlotterer

ABSTRACT

We investigate one-loop four-point scattering of non-abelian gauge bosons in heterotic string theory and identify new connections with the corresponding open-string amplitude. In the low-energy expansion of the heterotic-string amplitude, the integrals over torus punctures are systematically evaluated in terms of modular graph forms, certain non-holomorphic modular forms. For a specific torus integral, the modular graph forms in the low-energy expansion are related to the elliptic multiple zeta values from the analogous open-string integrations over cylinder boundaries. The detailed correspondence between these modular graph forms and elliptic multiple zeta values supports a recent proposal for an elliptic generalization of the single-valued map at genus zero. More... »

PAGES

52

References to SciGraph publications

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/jhep01(2019)052

DOI

http://dx.doi.org/10.1007/jhep01(2019)052

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1111367011


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