Calabi-Yau CFTs and Random Matrices

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.

37 pages, 7 figures; v2: typos corrected, added discussion on quantum chaos, accepted by JHEP

References in corpus (10)

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Cited by in corpus (3)

• Bootstrapping Closed Hyperbolic Surfaces
• Weighed average over Narain moduli space as $T\bar{T}$ deformation of CFT target space
• Baby universes, ensemble averages and factorizations with matters