Random Field Theories in The Mirror Quintic Moduli Space

We investigate the distribution of field theories that arise from the low energy limit of flux vacua built on type IIB string theory compactified on the mirror quintic. For a large collection of these models, we numerically determine the distribution of Taylor coefficients in a polynomial expansion of each model's scalar potential to fourth order, and show that they differ significantly from potentials generated by random choices of such coefficients over a flat measure.