Asymptotic curvature divergences and non-gravitational theories

2024/09/04 by Marchesano, Fernando, Melotti, Luca, Wiesner, Max · 2 citations
#FOS: Physical sciences #High Energy Physics - Theory (hep-th)

paper · doi:10.48550/arxiv.2409.02991

Abstract

We analyse divergences of the scalar curvature R of the vector multiplet moduli space of type IIA string theory compactified on a Calabi--Yau X, along infinite-distance large volume limits. Extending previous results, we classify the origin of the divergence along trajectories which implement decompactifications to F-theory on X and/or emergent heterotic string limits. In all cases, the curvature divergence can be traced back to a 4d rigid field theory that decouples from gravity along the limit. This can be quantified via the asymptotic relation R ∼ (Λ_{\rm WGC}/Λ_{\rm sp})^2ν, with Λ_{\rm WGC} ≡ g_{\rm rigid} M_{\rm P} and Λ_{\rm sp} the species scale. In the UV, the 4d rigid field theory becomes a higher-dimensional, strongly-coupled rigid theory that also decouples from gravity. The nature of this UV theory is encoded in the exponent ν, and it either corresponds to a 5d SCFT, 6d SCFT or a Little String Theory.

Cited by

• K-Points and Type IIB/Heterotic Duality with NS5-Branes
• Physics and Geometry of Complex Structure Limits in Type IIB Calabi-Yau Compactifications

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