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Morse-Bott inequalities, topology change and cobordisms to nothing

Ruiz, Ignacio·2025·Journal of High Energy Physics
DOI 10.1007/jhep06(2025)030
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Abstract

A bstract: The Cobordism Conjecture predicts spacetime-ending configurations, such as Bubbles of Nothing (BoN), being commonplace. These correspond to vacuum decays in which the compactification manifold $$ {\mathcal{C}}_n $$ C n shrinks to a point, with the instability expanding at the speed of light and leaving nothing (not even spacetime) behind. Most constructions of BoN or cobordisms to nothing found in the literature feature simple instances of $$ {\mathcal{C}}_n $$ C n or singular cobordisms, which cannot be approached from the effective field theory. Assuming the solution mediating such decay to nothing is homeomorphic to a smooth description, we are able to go a step further, and obtain topological bounds on its homology for generic $$ {\mathcal{C}}_n $$ C n . Through the use of Morse-Bott theory we then translate this into information on the number and types of topology changes the compact manifold experiences as we move towards the tip of the bordism, as well as the location of possible cobordism defects. We illustrate our results with different detailed examples coming from String Theory. Furthermore, with this approach, we are able to study more complicated arrangements such as BoN collisions or intersection of End of the World branes.

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Metadata

Authors
Ruiz, I.
Venue
Journal of High Energy Physics
Publisher
Springer Science and Business Media LLC
Published
2025-06-04
Volume
2025
Issue
6
ISSN
1029-8479
DOI
10.1007/jhep06(2025)030
Cited by
6
References
9
Language
en
Licence

About these checks

Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.

Statistics and arithmetic are recomputed, not judged.

Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.

What counts as a claim ›How we measure confidence ›How we check this ›

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How to cite

Cite CoChat for the checks on this page, and the paper for its own findings.

This page
CoChat. (2026). Citation check: Morse-Bott inequalities, topology change and cobordisms to nothing. https://app.cochat.ai/papers/10.1007/jhep06(2025)030
The paper
Ruiz, I. (2025). Morse-Bott inequalities, topology change and cobordisms to nothing. Journal of High Energy Physics. https://doi.org/10.1007/jhep06(2025)030

Data sources

Bibliographic data: Semantic Scholar, OpenAlex, Crossref.

Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.