  In this paper, we will analyse the topological defects in a deformation of a
non-abelian gauge theory using the Polyakov variables. The gauge theory will be
deformed by the existence of a minimum measurable length scale in the
background spacetime. We will construct the Polyakov loops for this deformed
non-abelian gauge theory, and use these deformed loop space variables for
obtaining a deformed loop space curvature. It will be demonstrated that this
curvature will vanish if the deformed Bianchi identities are satisfied.
However, it is possible that the original Bianchi identities are satisfied, but
the deformed Bianchi identities are violated at the leading order in the
deformation parameter, due to some topological defects. Thus, topological
defects could be produced purely from a deformation of the background geometry.
