String Theory seminar - Hadleigh Frost Seminar

Abstract: There is a family of representations of the Braid Lie algebra naturally associated to Veneziano-like integrals on $\mathcal{M}_{0,n}$. I present new explicit formulas for these representations, and explain how they are related to a very nice algebraic structure relating functions on the moduli space. Similar matrices arise for genus $g=1$ string integrals. I will explain how the commutators of these matrices control the computation of the $\alpha'$ expansion of string amplitudes.