• Corpus ID: 244709761

Automorphic Spectra and the Conformal Bootstrap

@inproceedings{Kravchuk2021AutomorphicSA,
  title={Automorphic Spectra and the Conformal Bootstrap},
  author={Petr Kravchuk and Dalimil Maz{\'a}{\vc} and Sridip Pal},
  year={2021}
}
We point out that the spectral geometry of hyperbolic manifolds provides a remarkably precise model of the modern conformal bootstrap. As an application, we use conformal bootstrap techniques to derive rigorous computer-assisted upper bounds on the lowest positive eigenvalue λ1(X) of the Laplace-Beltrami operator on closed hyperbolic surfaces and 2-orbifolds X. In a number of notable cases, our bounds are nearly saturated by known surfaces and orbifolds. For instance, our bound on all genus-2… 

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