Oliver Schlotterer, Max Planck Institute for Gravitational Physics
Title: Elliptic multiple zeta values and superstring one-loop amplitudes
Abstract: We investigate iterated integrals on an elliptic curve, which are natural genus-one generalizations of multiple polylogarithms and multiple zeta values. A simple and natural application of this framework are one-loop scattering amplitudes in open superstring theory. In particular, elliptic multiple zeta values are a suitable language to express their low energy limit. In analogy to shuffle and stuffle relations among multiple zeta values at genus zero, we discuss the network of relations among elliptic multiple zeta values. The counting of indecomposable elliptic multiple zeta values is derived from their representation as iterated integrals over Eisenstein series with additional selection rules from a special derivation algebra.