Pith. sign in

REVIEW 4 cited by

Non-minimal Elliptic Threefolds at Infinite Distance I: Log Calabi-Yau Resolutions

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 2310.07761 v2 pith:QZK7HKMF submitted 2023-10-11 hep-th math.AG

Rafael Álvarez-García , Seung-Joo Lee , Timo Weigand This is my paper · ORCID
classification hep-thmath.AG
keywords ellipticthreefoldscalabi-yaulimitsbasef-theoryinfinite-distancenon-minimal
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
read the original abstract

We study infinite-distance limits in the complex structure moduli space of elliptic Calabi-Yau threefolds. In F-theory compactifications to six dimensions, such limits include infinite-distance trajectories in the non-perturbative open string moduli space. The limits are described as degenerations of elliptic threefolds whose central elements exhibit non-minimal elliptic fibers, in the Kodaira sense, over curves on the base. We show how these non-crepant singularities can be removed by a systematic sequence of blow-ups of the base, leading to a union of log Calabi-Yau spaces glued together along their boundaries. We identify criteria for the blow-ups to give rise to open chains or more complicated trees of components and analyse the blow-up geometry. While our results are general and applicable to all non-minimal degenerations of Calabi-Yau threefolds in codimension one, we exemplify them in particular for elliptic threefolds over Hirzebruch surface base spaces. We also explain how to extract the gauge algebra for F-theory probing such reducible asymptotic geometries. This analysis is the basis for a detailed F-theory interpretation of the associated infinite-distance limits that will be provided in a companion paper.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

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

    hep-th 2025-08 unverdicted novelty 7.0 of 10

    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 ...

  3. Asymptotics of 5d Supergravity Theories and the Emergent String Conjecture

    hep-th 2024-12 conditional novelty 7.0 of 10

    All infinite distance limits in 5d N=1 supergravity vector moduli space are either unique-vector limits (6d decompactification) or unique-tensor limits (emergent string), under a weak BPS completeness assumption.

  4. Moduli-Space Laplacians, Asymptotic Geometry, and the Emergent String Conjecture

    hep-th 2026-07 conditional novelty 6.0 of 10

    Under the Emergent String Conjecture, the logarithm of any principal tower mass has a moduli-space Laplacian eigenvalue quantized to N/(D-d) for KK towers and N/2 for string oscillators, equal to the instanton-weighte...

Pith tools