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This is a Quantitative Study study.

October 16, 2025Open Access

Solving the strong CP problem in string-inspired theories with modular invariance

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Solutions to the strong CP problem are shown to involve modular invariance and can be extended with string compactification features.
Quarks are modeled to have mostly positive modular weights, impacting the framework of gauge kinetic functions.
Key assumptions include the placement of singularities and zeroes at specific points in the context of string gauge unification.
The study explores how these assumptions influence theoretical aspects of gauge unification in string-inspired models.

Implication

This research finds solutions to the strong CP problem using modular invariance, suggesting implications for gauge unification.

Abstract

We show that solutions to the strong CP problem based on modular invariance can be extended to incorporate features that appear in string compactifications: quarks with mostly positive modular weights and non-trivial gauge kinetic functions. This requires assuming that singularities and zeroes only appear at special points, such as decompactification limits. We discuss the impact of these assumptions on string gauge unification.

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Cite This Study

Feruglio et al. (2025) studied this question.

synapsesocial.com/papers/68f0f51d8dd8ea469b1d6f8e https://doi.org/10.48550/arxiv.2505.20395

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Implication

This research finds solutions to the strong CP problem using modular invariance, suggesting implications for gauge unification.

Solving the strong CP problem in string-inspired theories with modular invariance

Key Points

Implication

Abstract

Discussion

Cite This Study

Solving the strong CP problem in string-inspired theories with modular invariance

Key Points

Implication

Abstract

Discussion

Cite This Study

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