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Swampland Distance Conjecture for One-Parameter Calabi-Yau Threefolds

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arxiv 1903.00596 v1 pith:CRKH7XGT submitted 2019-03-02 hep-th

Abhinav Joshi , Albrecht Klemm This is my paper
classification hep-th
keywords calabi-yauconjecturedistancem-pointsone-parameterexamplesfulfilledhypergeometric
verification ladder T0 review T1 audit T2 compute T3 formal
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We investigate the swampland distance conjecture (SDC) in the complex moduli space of type II compactifications on one-parameter Calabi-Yau threefolds. This class of manifolds contains hundreds of examples and, in particular, a subset of 14 geometries with hypergeometric differential Picard-Fuchs operators. Of the four principal types of singularities that can occur - specified by their limiting mixed Hodge structure - only the K-points and the large radius points (or more generally the M-points) are at infinite distance and therefore of interest to the SDC. We argue that the conjecture is fulfilled at the K- and the M-points, including models with several M-points, using explicit calculations in hypergeometric models which contain typical examples of all these degenerations. Together with previous work on the large radius points, this suggests that the SDC is indeed fulfilled for one-parameter Calabi-Yau spaces.

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Cited by 5 Pith papers

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  1. EFT (String) Tower Building

    hep-th 2026-07 conditional novelty 7.0 of 10

    Assuming the Integral Scaling Relation and the Emergent String Conjecture, the Kähler potential fixes the UV tower spectrum, and every admissible degree-≤7 tower polytope is a slice of the M-theory G2 polytope.

  2. Alice in Warpland: KK modes, Warped Compactifications and the Swampland

    hep-th 2026-03 unverdicted novelty 7.0 of 10

    In codimension-one warped compactifications with exponential potentials, the KK mass decay rate λ_KK is reduced by warping but still satisfies the Sharpened Distance Conjecture precisely when the higher-dimensional po...

  3. The Boundary of Symmetric Moduli Spaces and the Swampland Distance Conjecture

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    For locally symmetric moduli spaces satisfying a compactifiability constraint, every infinite-distance limit produces an exponentially light tower of states, with decay rates forming the convex hull of the weights of ...

  4. EFTs with Symmetric Moduli Spaces: the Landscape and the Swampland

    hep-th 2026-05 unverdicted novelty 6.0 of 10

    Using weight polytopes of irreducible representations, a finite list of symmetric moduli spaces satisfies the SDC decay rates; most embed from an E8(8) EFT but three cannot be obtained from string or M-theory compacti...

  5. Quantum obstructions for $N=1$ infinite distance limits -- Part I: $g_s$ obstructions

    hep-th 2026-03 unverdicted novelty 6.0 of 10

    Non-perturbative g_s corrections obstruct perturbative Type IIB descriptions and can remove classical infinite distance degenerations in asymptotic regions of the complex structure moduli space.

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