  Gauge symmetry enhancing, at specific points of the compactification space,
is a distinguished feature of string theory. In this work we discuss the
breaking of such symmetries with tools provided by Double Field Theory (DFT).
As a main guiding example we discuss the bosonic string compactified on a
circle where, at the self dual radio the generic $U(1)\times U(1)$ gauge
symmetry becomes enhanced to $SU(2)\times SU(2)$. We show that the
enhancing-breaking of the gauge symmetry can be understood through a dependence
of gauge structure constants (fluxes in DFT) on moduli. This dependence, in DFT
description, is encoded in the generalized tangent frame of the double space.
Actually, the explicit T-duality invariant formulation provided by DFT proves
to be a helpful ingredient. The link with string theory results is discussed
and generalizations to generic tori compactifications are addressed.
