Unity of tree–level superstring amplitudes

by Stephan Stieberger

Tuesday 13 May 2014, 14:00 → 15:00 Europe/Zurich

4/3-006 - TH Conference Room (CERN)

We review recent results in open and closed superstring tree-level amplitudes and analyze their underlying mathematical structure described by motivic multiple zeta values, Hopf algebra structure, Drinfeld and Deligne associators. We establish a relation between open and closed string amplitudes communicated by the single-valued (sv) projection. This map points into a deeper connection between gauge and gravity amplitudes than what is implied by Kawai-Lewellen-Tye relations. The combination of single-valued projections, Kawai-Lewellen-Tye relations and Mellin correspondence reveal a unity of all tree-level open and closed superstring amplitudes together with the maximally supersymmetric Yang-Mills and supergravity theories.