An index for flux vacua

Fuente: arXiv
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Autore principale: Lüst, Severin
Natura: Preprint
Pubblicazione: 2024
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author Lüst, Severin
author_facet Lüst, Severin
contents We propose to use the winding number of the gradient of a scalar potential as a simple topological index that relates critical points in the interior of the scalar field space to the behavior of the potential at the (asymptotic) boundary of the field space. We demonstrate this technique for supersymmetric flux compactifications of M-theory on Calabi-Yau four-folds, and use the Fermat sextic as a simple, one-parameter example.
format Preprint
id arxiv_https___arxiv_org_abs_2405_04584
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle An index for flux vacua
Lüst, Severin
High Energy Physics - Theory
We propose to use the winding number of the gradient of a scalar potential as a simple topological index that relates critical points in the interior of the scalar field space to the behavior of the potential at the (asymptotic) boundary of the field space. We demonstrate this technique for supersymmetric flux compactifications of M-theory on Calabi-Yau four-folds, and use the Fermat sextic as a simple, one-parameter example.
title An index for flux vacua
topic High Energy Physics - Theory
url https://arxiv.org/abs/2405.04584