dc.contributor.author Bonifacio, J dc.date.accessioned 2022-06-29T19:46:10Z dc.date.available 2022-06-29T19:46:10Z dc.date.issued 2022 dc.date.submitted 2022-01-21 dc.identifier.issn 1029-8479 dc.identifier.other jhep03(2022)093 dc.identifier.other 17987 dc.identifier.uri https://www.repository.cam.ac.uk/handle/1810/338511 dc.description.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. dc.language en dc.publisher Springer Science and Business Media LLC dc.subject Regular Article - Theoretical Physics dc.subject Differential and Algebraic Geometry dc.subject Scale and Conformal Symmetries dc.title Bootstrapping closed hyperbolic surfaces dc.type Article dc.date.updated 2022-06-29T19:46:10Z prism.issueIdentifier 3 prism.publicationName Journal of High Energy Physics prism.volume 2022 dc.identifier.doi 10.17863/CAM.85924 dcterms.dateAccepted 2022-03-04 rioxxterms.versionofrecord 10.1007/JHEP03(2022)093 rioxxterms.version VoR rioxxterms.licenseref.uri http://creativecommons.org/licenses/by/4.0/ dc.contributor.orcid Bonifacio, J [0000-0001-6633-7341] dc.identifier.eissn 1029-8479 dc.publisher.url http://dx.doi.org/10.1007/JHEP03(2022)093 cam.issuedOnline 2022-03-15 dc.identifier.arxiv 2111.13215
﻿