Heavy tails in Calabi-Yau moduli spaces

@inproceedings{Long2014HeavyTI,
  title={Heavy tails in Calabi-Yau moduli spaces},
  author={Cody Long and Liam McAllister and Paul R McGuirk},
  year={2014}
}
We study the statistics of the metric on Kähler moduli space in compactifications of string theory on Calabi-Yau hypersurfaces in toric varieties. We find striking hierarchies in the eigenvalues of the metric and of the Riemann curvature contribution to the Hessian matrix: both spectra display heavy tails. The curvature contribution to the Hessian is non-positive, suggesting a reduced probability of metastability compared to cases in which the derivatives of the Kähler potential are… CONTINUE READING

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