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arXiv · 1908.09848

All-order alpha'-expansion of one-loop open-string integrals

Carlos R. Mafra·Oliver Schlotterer
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Abstract

We present a new method to evaluate the $α'$-expansion of genus-one integrals over open-string punctures and unravel the structure of the elliptic multiple zeta values in its coefficients. This is done by obtaining a simple differential equation of Knizhnik-Zamolodchikov-Bernard-type satisfied by generating functions of such integrals, and solving it via Picard iteration. The initial condition involves the generating functions at the cusp $τ\to i\infty$ and can be reduced to genus-zero integrals.

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Carlos R. Mafra, Oliver Schlotterer. 2020-03-17. All-order alpha'-expansion of one-loop open-string integrals. https://doi.org/10.1103/physrevlett.124.101603

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