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<p>We analyse divergences of the scalar curvature <i>R</i> of the vector multiplet moduli space of type IIA string theory compactified on a Calabi-Yau <i>X</i>, 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 <i>X</i> 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 <i>R</i> ~ (Λ<sub>WGC</sub><i>/</i>Λ<sub>sp</sub>)<sup>2<i>ν</i></sup>, with Λ<sub>WGC</sub> ≡ <i>g</i><sub>rigid</sub><i>M</i><sub>P</sub> and Λ<sub>sp</sub> 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 <i>ν</i>, and it either corresponds to a 5d SCFT, 6d SCFT or a Little String Theory.</p>

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Asymptotic curvature divergences and non-gravitational theories

  • 期刊论文

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  • 发表日期：

    2025年2月21日

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  • Fernando Marchesano,
  • Luca Melotti,
  • Max Wiesner

摘要

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 ~ (ΛWGC/Λsp)2ν, with ΛWGC ≡ grigidMP and Λsp 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.