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arXiv · 2411.00962

Not So Flat Metrics

Kit Fraser-Taliente·Thomas R. Harvey·Manki Kim
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Abstract

In order to be in control of the $\alpha'$ 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 $\alpha'^3$ 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.

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Kit Fraser-Taliente, Thomas R. Harvey, Manki Kim. 2024-11-01. Not So Flat Metrics. https://arxiv.org/abs/2411.00962

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