The Refined Swampland Distance Conjecture in Calabi-Yau Moduli Spaces

TL;DR

This paper examines the refined Swampland Distance Conjecture within Calabi-Yau moduli spaces, finding that proper field distances are consistently smaller than the Planck length, challenging the conjecture's implications.

Contribution

It provides a detailed analysis of the refined Swampland Distance Conjecture in specific Calabi-Yau moduli spaces, testing its validity against known geometric phases.

Findings

Proper field distances are smaller than the Planck length in studied cases.

The refined conjecture's expected scale is not always met in these moduli spaces.

Results suggest potential limitations of the conjecture in certain string compactifications.

Abstract

The Swampland Distance Conjecture claims that effective theories derived from a consistent theory of quantum gravity only have a finite range of validity. This will imply drastic consequences for string theory model building. The refined version of this conjecture says that this range is of the order of the naturally built in scale, namely the Planck scale. It is investigated whether the Refined Swampland Distance Conjecture is consistent with proper field distances arising in the well understood moduli spaces of Calabi-Yau compactification. Investigating in particular the non-geometric phases of Kahler moduli spaces of dimension $h^{11}\in\{1,2,101\}$, we always found proper field distances that are smaller than the Planck-length.