Veranstaltung

Vortrag
The number theory of superstring amplitudes
Dr. Oliver Schlotterer (AEI, Potsdam)
8.6.2015, 16:00 Uhr – 17:00 Uhr

This talk explores the cross fertilization between number theory and superstring perturbation theory. I will first discuss multiple zeta values and their relations from the viewpoint of iterated integrals on a genus zero surface. They enter the alpha' expansion of superstring tree amplitudes in a pattern that can be understood in terms of their generating series and Hopf algebra structures. We will then proceed to iterated integrals on a torus which give rise to elliptic analogue of multiple zeta values. They are shown to find a natural appearance in one-loop amplitudes of the open superstring.