Not So Flat Metrics

Fuente: arXiv
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Autores principales: Fraser-Taliente, Kit, Harvey, Thomas R., Kim, Manki
Formato: Preprint
Publicado: 2024
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author Fraser-Taliente, Kit
Harvey, Thomas R.
Kim, Manki
author_facet Fraser-Taliente, Kit
Harvey, Thomas R.
Kim, Manki
contents In order to be in control of the $α'$ derivative expansion, geometric string compactifications are understood in the context of a large volume approximation. In this letter, we consider the reduction of these higher derivative terms, and propose an improved estimate on the large volume approximation using numerical Calabi-Yau metrics obtained via machine learning methods. Further to this, we consider the $α'^3$ corrections to numerical Calabi-Yau metrics in the context of IIB string theory. This correction represents one of several important contributions for realistic string compactifications -- alongside, for example, the backreaction of fluxes and local sources -- all of which have important consequences for string phenomenology. As a simple application of the corrected metric, we compute the change to the spectrum of the scalar Laplacian.
format Preprint
id arxiv_https___arxiv_org_abs_2411_00962
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Not So Flat Metrics
Fraser-Taliente, Kit
Harvey, Thomas R.
Kim, Manki
High Energy Physics - Theory
In order to be in control of the $α'$ derivative expansion, geometric string compactifications are understood in the context of a large volume approximation. In this letter, we consider the reduction of these higher derivative terms, and propose an improved estimate on the large volume approximation using numerical Calabi-Yau metrics obtained via machine learning methods. Further to this, we consider the $α'^3$ corrections to numerical Calabi-Yau metrics in the context of IIB string theory. This correction represents one of several important contributions for realistic string compactifications -- alongside, for example, the backreaction of fluxes and local sources -- all of which have important consequences for string phenomenology. As a simple application of the corrected metric, we compute the change to the spectrum of the scalar Laplacian.
title Not So Flat Metrics
topic High Energy Physics - Theory
url https://arxiv.org/abs/2411.00962