  We consider a gauge theory of the glass transition in the frustrated XY model
being simplest model containing topologically nontrivial excitations. We
describe the transition kinetics and find that the three-dimensional system
exhibits the Vogel-Fulcher-Tamman criticality heralding its freezing into a
spin glass. We analytically show that the system demonstrates all glass
transition properties, like the logarithmic relaxation, and corresponding
behavior of linear and non-linear susceptibility. The mode-coupling theory
equation in the Zwanziger-Mori representation also is derived in framework of
our approach. Our findings provide insights into the topological origin of
glass formation, that allows to make progress in understanding glass-transition
processes in more intricate systems.
