Bootstrapping closed hyperbolic surfaces
Authors
Publication Date
2022-03-15Journal Title
Journal of High Energy Physics
ISSN
1029-8479
Publisher
Springer Science and Business Media LLC
Volume
2022
Issue
3
Language
en
Type
Article
This Version
VoR
Metadata
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Bonifacio, J. (2022). Bootstrapping closed hyperbolic surfaces. Journal of High Energy Physics, 2022 (3) https://doi.org/10.1007/JHEP03(2022)093
Abstract
The eigenvalues of the Laplace-Beltrami operator and the integrals of
products of eigenfunctions and holomorphic $s$-differentials satisfy certain
consistency conditions on closed hyperbolic surfaces. These consistency
conditions can be derived by using spectral decompositions to write quadruple
overlap integrals in terms of triple overlap integrals in different ways. We
show how to efficiently construct these consistency conditions and use them to
derive upper bounds on eigenvalues, following the approach of the conformal
bootstrap. As an example of such a bootstrap bound, we find a numerical upper
bound on the spectral gap of closed orientable hyperbolic surfaces that is
nearly saturated by the Bolza surface.
Keywords
Regular Article - Theoretical Physics, Differential and Algebraic Geometry, Scale and Conformal Symmetries
Identifiers
jhep03(2022)093, 17987
External DOI: https://doi.org/10.1007/JHEP03(2022)093
This record's URL: https://www.repository.cam.ac.uk/handle/1810/335095
Rights
Licence:
http://creativecommons.org/licenses/by/4.0/
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