M Theory Lesson 4
But one thing at a time. The brilliant young Mahndisa has wisely shown enthusiasm for the work of Satyan Devadoss. Devadoss has spent a lot of time focusing on the moduli of punctured spheres M(0,n), or rather the real points of the compactified space. These spaces are tiled by associahedra. Those are the lovely polytopes of Stasheff that we have met a number of times before. So, the simplest case of real moduli for punctured spheres (which look a bit like trees, right?) can be described by a 1-operad.
What I might have neglected to mention before is that Brown has recently studied MZVs and integrals for such moduli, using Motivic Cohomology. In particular, any integral which we would like to associate with physical amplitudes is given in terms of MZVs. M-theory is so much fun, don't you think? Today's homework is to look through the Brown paper and find the Veneziano four point function.