Monday, March 27, 2023
Time  Items 

All day 

4:00pm 
03/27/2023  4:30pm In this talk, I discuss how an infinite dimensional convex geometry of interest to physicists exhibits "flattening," which manifests as emergent equalities among naively independent coordinates. This flattening behavior is intrinsically tied to the infinite dimensional nature of the convex geometry, as these emergent equalities only appear in the infinite dimensional limit. In more detail, the space of causal and unitary theories, called the EFTHedron, is identified as the intersection of a convex region given by the Minkowski sum of two moment curves and a hyperplane in an infinite dimensional projective space. I use linear programming to provide strong numeric evidence that the EFThedron "flattens out." For example, restricting a finite fraction of the coordinates to be evenzeta values, the remaining coordinates are (conjecturally) fixed to take oddzeta values. I will conclude by briefly sketching how this conjecture relates to TypeI superstring theory, which corresponds to a particular point in the EFThedron. Location:
LOM 214
