string_data - Calabi-Yau Metrics, CFTs and Random Matrices


Calabi-Yau manifolds have played a key role in both mathematics and physics, and are particularly important for deriving realistic models of particle physics from string theory. Without the explicit metrics on these spaces, we have resorted to numerical methods, and now have a variety of techniques to find approximate metrics. I will present recent work on what one can do with these numerical metrics, focusing on the ‘data’ of the spectrum of the Laplacian. Computing this for many different points in complex structure moduli space, we will see that the spectrum displays random matrix statistics, suggesting that certain 2d SCFTs are chaotic.

Dec 16, 2021 12:00 AM
Anthony Ashmore
Anthony Ashmore
Postdoctoral Researcher in Theoretical Physics