Citation

BibTex format

@article{Ashmore:2023:10.1007/jhep07(2023)164,
author = {Ashmore, A and He, Y-H and Heyes, E and Ovrut, BA},
doi = {10.1007/jhep07(2023)164},
journal = {Journal of High Energy Physics},
title = {Numerical spectra of the Laplacian for line bundles on Calabi-Yau hypersurfaces},
url = {http://dx.doi.org/10.1007/jhep07(2023)164},
volume = {2023},
year = {2023}
}
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RIS format (EndNote, RefMan)

TY  - JOUR
AB  - <jats:title>A<jats:sc>bstract</jats:sc>                     </jats:title><jats:p>We give the first numerical calculation of the spectrum of the Laplacian acting on bundle-valued forms on a Calabi-Yau three-fold. Specifically, we show how to compute the approximate eigenvalues and eigenmodes of the Dolbeault Laplacian acting on bundle-valued (<jats:italic>p</jats:italic>, <jats:italic>q</jats:italic>)-forms on Kähler manifolds. We restrict our attention to line bundles over complex projective space and Calabi-Yau hypersurfaces therein. We give three examples. For two of these, <jats:sup>3</jats:sup> and a Calabi-Yau one-fold (a torus), we compare our numerics with exact results available in the literature and find complete agreement. For the third example, the Fermat quintic three-fold, there are no known analytic results, so our numerical calculations are the first of their kind. The resulting spectra pass a number of non-trivial checks that arise from Serre duality and the Hodge decomposition. The outputs of our algorithm include all the ingredients one needs to compute physical Yukawa couplings in string compactifications.</jats:p>
AU  - Ashmore,A
AU  - He,Y-H
AU  - Heyes,E
AU  - Ovrut,BA
DO  - 10.1007/jhep07(2023)164
PY  - 2023///
TI  - Numerical spectra of the Laplacian for line bundles on Calabi-Yau hypersurfaces
T2  - Journal of High Energy Physics
UR  - http://dx.doi.org/10.1007/jhep07(2023)164
UR  - https://doi.org/10.1007/jhep07(2023)164
VL  - 2023
ER  -
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