Bound on the index of a multisection for Calabi–Yau elliptic fibrations

Let XBX \to B be an elliptic fibration with XX a Calabi–Yau variety, and let nn be the index of a multisection.

Multisection-index conjecture. One has

n6.n \leq 6.

This is an explicit predicted bound on multisection indices in the context of spectrum bounds and the Swampland Program. The supplied text does not provide evidence that the bound has been proved or disproved.

Sources & referencesView supporting material

Primary source

Antonella Grassi, “Spectrum bounds in geometry”, arXiv:2304.07819 (2023).

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