Balanced and Aeppli Parameters for the Heterotic Moduli

Fuente: arXiv
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Autori principali: Picard, Sébastien, Wu, Pei-Lin
Natura: Preprint
Pubblicazione: 2024
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author Picard, Sébastien
Wu, Pei-Lin
author_facet Picard, Sébastien
Wu, Pei-Lin
contents In this paper, we fix the complex structure and explore the moduli space of the heterotic system by considering two different yet "dual" deformation paths starting from a Kähler solution. They correspond to deformation along the Bott-Chern cohomology class and the Aeppli cohomology class respectively. Using the implicit function theorem, we prove the local existence of heterotic solutions along these two paths and hence establish an initial step to construct local moduli coordinates around a Kähler solution.
format Preprint
id arxiv_https___arxiv_org_abs_2401_05331
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Balanced and Aeppli Parameters for the Heterotic Moduli
Picard, Sébastien
Wu, Pei-Lin
Differential Geometry
High Energy Physics - Theory
Mathematical Physics
53C55
In this paper, we fix the complex structure and explore the moduli space of the heterotic system by considering two different yet "dual" deformation paths starting from a Kähler solution. They correspond to deformation along the Bott-Chern cohomology class and the Aeppli cohomology class respectively. Using the implicit function theorem, we prove the local existence of heterotic solutions along these two paths and hence establish an initial step to construct local moduli coordinates around a Kähler solution.
title Balanced and Aeppli Parameters for the Heterotic Moduli
topic Differential Geometry
High Energy Physics - Theory
Mathematical Physics
53C55
url https://arxiv.org/abs/2401.05331