$H_0$ tension and the String Swampland

We realize the Agrawal-Obied-Vafa swampland proposal of fading dark matter for solving the $H_0$ tension by the model of Salam-Sezgin and its string realization of Cvetic-Gibbons-Pope. The model describes a compactification of six-dimensional supergravity with a monopole background on a 2-sphere. In four dimensions, there are two scalar fields, $X$ and $Y $, and the effective potential in the Einstein frame is an exponential with respect to $Y$ times a quadratic polynomial in the field $e^{-X}$. When making the volume of the 2-sphere large, namely for large values of $Y$, there appears a tower of states, which according to the infinite distance swampland conjecture becomes exponentially massless. We confront the model with recent cosmological observations. We show that this set up is well equipped to explain the overall data even when considering local measurements of $H_0$, and that it can potentially ameliorate the tension between low-redshift observations and measurements of the cosmic microwave background. Indeed, the tower of string states that emerges from the rolling of $Y$ constitutes a portion of the dark matter, and the way in which the $X$ particle and its KK excitations evolve over time (refer to as fading dark matter) is responsible for reducing the $H_0$ tension.