Asymptotic curvature divergences and non-gravitational theories
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| author | Marchesano, Fernando Melotti, Luca Wiesner, Max |
| author_facet | Marchesano, Fernando Melotti, Luca Wiesner, Max |
| contents | 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 $R \sim (Λ_{\rm WGC}/Λ_{\rm sp})^{2ν}$, with $Λ_{\rm WGC} \equiv g_{\rm rigid} M_{\rm P}$ 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_02991 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Asymptotic curvature divergences and non-gravitational theories Marchesano, Fernando Melotti, Luca Wiesner, Max High Energy Physics - Theory 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 $R \sim (Λ_{\rm WGC}/Λ_{\rm sp})^{2ν}$, with $Λ_{\rm WGC} \equiv g_{\rm rigid} M_{\rm P}$ 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. |
| title | Asymptotic curvature divergences and non-gravitational theories |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2409.02991 |