Calabi-Yau CFTs and random matrices

Abstract

Abstract Using numerical methods for finding Ricci-flat metrics, we explore the spectrum of local operators in two-dimensional conformal field theories defined by sigma models on Calabi-Yau targets at large volume. Focusing on the examples of K3 and the quintic, we show that the spectrum, averaged over a region in complex structure moduli space, possesses the same statistical properties as the Gaussian orthogonal ensemble of random matrix theory.

Keywords

• Conformal Field Theory
• Sigma Models
• Differential and Algebraic Geometry
• Superstring Vacua