Calabi-Yau CFTs and Random Matrices
arXiv:2107.11461 · doi:10.1007/JHEP02(2022)021
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.
arXiv comment37 pages, 7 figures; v2: typos corrected, added discussion on quantum chaos, accepted by JHEP
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