2023/07/14 by Niccolò Cribiori, Dieter Lüst · 40 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Conjecture #Cosmology and Gravitation Theories #Gravitino #Heterotic string theory #Invariant (physics) #Mathematical physics #Mathematics #Modular design #Modular invariance #Moduli #Moduli space #Noncommutative and Quantum Gravity Theories #Orbifold #Particle physics #Physics #Pure mathematics #Quantum mechanics #Supergravity #Supersymmetry
paper · pdf · doi:10.1002/prop.202300150
published in Fortschritte der Physik 71(10-11) (Wiley)
openalex publication_date 2023/07/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/22
Abstract The species scale provides an upper bound for the ultraviolet cutoff of effective theories of gravity coupled to a number of light particle species. Modular invariant (super‐)potentials provide a simple and computable expression of the species scale as a function of the moduli in toroidal orbifold compactifications of type II and heterotic string are pointed out. Due t o modular symmetry, these functions are valid over all moduli space and not only in asymptotic regions. Additive logarithmic corrections to the species scale arise from the requirement that the latter be modular invariant are observed. The moduli‐dependent expression of the species scale in terms of the gravitino mass or the scalar potential of these models are recasted and swampland conjectures such as the anti‐de Sitter distance conjecture and the gravitino conjecture are connected.