Limits on evolution of the fine-structure constant in runaway dilaton
  models from Sunyaev-Zeldovich Observations
  In this paper, new bounds on possible variations of the fine structure
constant, $\alpha$, for a class of runaway dilaton models are performed. By
considering a possible evolution with redshift, $z$, such as
$\frac{\Delta\alpha}{\alpha}=-\gamma\ln(1+z)$, where in $\gamma$ are the
physical properties of the model, we constrain this parameter by using a
deformed cosmic distance duality relation jointly with gas mass fraction (GMF)
measurements of galaxy clusters and luminosity distances of type Ia supernovae.
The GMF's used in our analyses are from cluster mass data from 82 galaxy
clusters in the redshift range $0.12<z<1.36$, detected via the
Sunyaev-Zeldovich effect at 148 GHz by the Atacama Cosmology Telescope. The
type Ia supernovae are from the Union2.1 compilation. We also explore the
dependence of the results from four models used to describe the galaxy
clusters. As a result no evidence of variation was obtained.
