# $H_0$ Tension, Swampland Conjectures and the Epoch of Fading Dark Matter

## TL;DR

This paper explores a string-inspired dark energy model with a rolling scalar field coupled to dark matter, which can alleviate the Hubble tension and reduce other cosmological discrepancies.

## Contribution

It introduces a novel coupling between dark energy and dark matter motivated by swampland conjectures, improving fit to cosmological data and addressing the H_0 tension.

## Key findings

- Model prefers a non-zero coupling with 2.8σ significance.
- Improves fit to data at 2σ level over ΛCDM.
- Reduces tensions in H_0 and σ_8 measurements.

## Abstract

Motivated by the swampland dS conjecture, we consider a rolling scalar field as the source of dark energy. Furthermore, the swampland distance conjecture suggests that the rolling field will lead at late times to an exponentially light tower of states. Identifying this tower as residing in the dark sector suggests a natural coupling of the scalar field to the dark matter, leading to a continually reducing dark matter mass as the scalar field rolls in the recent cosmological epoch. The exponent in the distance conjecture, $\tilde{c}$, is expected to be an $\mathcal{O}(1)$ number. Interestingly, when we include the local measurement of $H_0$, our model prefers a non-zero value of the coupling $\tilde{c}$ with a significance of $2.8\sigma$ and a best-fit at $\tilde{c} \sim 0.3$. Modifying the recent evolution of the universe in this way improves the fit to data at the $2\sigma$ level compared to $\Lambda$CDM. This string-inspired model automatically reduces cosmological tensions in the $H_0$ measurement as well as $\sigma_8$.