Rolling with modular symmetry: quintessence and de Sitter in heterotic orbifolds

Fuente: arXiv
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Autores principales: Gordillo-Ruiz, Hansel, Hernandez-Segura, Miguel, Portillo-Castillo, Ignacio, Ramos-Sanchez, Saul, Zavala, Ivonne
Formato: Preprint
Publicado: 2025
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author Gordillo-Ruiz, Hansel
Hernandez-Segura, Miguel
Portillo-Castillo, Ignacio
Ramos-Sanchez, Saul
Zavala, Ivonne
author_facet Gordillo-Ruiz, Hansel
Hernandez-Segura, Miguel
Portillo-Castillo, Ignacio
Ramos-Sanchez, Saul
Zavala, Ivonne
contents Modular invariance is a fundamental symmetry in string compactifications, constraining both the structure of the effective theory and the dynamics of moduli and matter fields. It has also gained renewed importance in the context of swampland conjectures and, independently, flavour physics. We investigate a modular-invariant scalar potential arising from heterotic orbifolds, where the flavour structure and moduli dynamics are jointly shaped by the underlying geometry. Focusing on a string-inspired, two-moduli truncation, we uncover a rich vacuum structure featuring anti-de Sitter minima and unstable de Sitter saddle points. We identify large regions in moduli space supporting multifield hilltop quintessence consistent with observations. All solutions satisfy refined swampland de Sitter bounds. Our results illustrate how modular symmetry can guide the construction of controlled, string-motivated quintessence scenarios within consistent effective theories.
format Preprint
id arxiv_https___arxiv_org_abs_2509_22781
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Rolling with modular symmetry: quintessence and de Sitter in heterotic orbifolds
Gordillo-Ruiz, Hansel
Hernandez-Segura, Miguel
Portillo-Castillo, Ignacio
Ramos-Sanchez, Saul
Zavala, Ivonne
High Energy Physics - Theory
Cosmology and Nongalactic Astrophysics
General Relativity and Quantum Cosmology
High Energy Physics - Phenomenology
Modular invariance is a fundamental symmetry in string compactifications, constraining both the structure of the effective theory and the dynamics of moduli and matter fields. It has also gained renewed importance in the context of swampland conjectures and, independently, flavour physics. We investigate a modular-invariant scalar potential arising from heterotic orbifolds, where the flavour structure and moduli dynamics are jointly shaped by the underlying geometry. Focusing on a string-inspired, two-moduli truncation, we uncover a rich vacuum structure featuring anti-de Sitter minima and unstable de Sitter saddle points. We identify large regions in moduli space supporting multifield hilltop quintessence consistent with observations. All solutions satisfy refined swampland de Sitter bounds. Our results illustrate how modular symmetry can guide the construction of controlled, string-motivated quintessence scenarios within consistent effective theories.
title Rolling with modular symmetry: quintessence and de Sitter in heterotic orbifolds
topic High Energy Physics - Theory
Cosmology and Nongalactic Astrophysics
General Relativity and Quantum Cosmology
High Energy Physics - Phenomenology
url https://arxiv.org/abs/2509.22781