Calabi-Yau CFTs and Random Matrices
High Energy Physics - Theory
2022-02-04 v2 Mathematical Physics
Differential Geometry
math.MP
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.
Cite
@article{arxiv.2107.11461,
title = {Calabi-Yau CFTs and Random Matrices},
author = {Nima Afkhami-Jeddi and Anthony Ashmore and Clay Cordova},
journal= {arXiv preprint arXiv:2107.11461},
year = {2022}
}
Comments
37 pages, 7 figures; v2: typos corrected, added discussion on quantum chaos, accepted by JHEP