# Refined swampland distance conjecture and exotic hybrid Calabi-Yaus

## TL;DR

This paper tests the refined swampland distance conjecture in the Kahler moduli space of exotic Calabi-Yaus, confirming its validity through explicit geodesic length computations using sphere partition functions.

## Contribution

It provides the first explicit verification of the refined swampland distance conjecture in exotic Calabi-Yau examples with pseudo-hybrid points, including non-abelian gauge models.

## Key findings

- Refined swampland distance conjecture holds at pseudo-hybrid points.
- Explicit geodesic length calculations confirm theoretical predictions.
- Sphere partition function effectively computes Kahler metric in these models.

## Abstract

We test the refined swampland distance conjecture in the Kahler moduli space of exotic one-parameter Calabi-Yaus. We focus on examples with pseudo-hybrid points. These points, whose properties are not well-understood, are at finite distance in the moduli space. We explicitly compute the lengths of geodesics from such points to the large volume regime and show that the refined swampland distance conjecture holds. To compute the metric we use the sphere partition function of the gauged linear sigma model. We discuss several examples in detail, including one example associated to a gauged linear sigma model with non-abelian gauge group.