Year: 2020
Type: article
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→i∞ and can be reduced to genus-zero integrals.
Source: Physical Review Letters
Authors: Carlos R. Mafra, Oliver Schlotterer
Institutions: University of Southampton, Uppsala University
Language: Latvian
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,750
Award: G3113303332
OpenAlex ID: W2970549385