  We have studied the resolution of a naked singularity of a conifold in
heterotic theory by a BF topological defect living in a 5-brane. The
singularity is removed due to Chern-Simons action that changes the Bianchi
identity for the H3 3-form. Following the previous analysis of Cvetic, Lu and
Pope where they have studied the resolution through an instanton defect, we
have taken a conifold over an Eguchi-Hanson manifold and a harmonic self-dual
2-form related with F2 to solve the differential equation for the warp factor.
Since the H3 field is related to torsion in the extra manifold, we can
interpret this conifold as one with torsion. Using the so called BF term we
have found a solution with the same properties of the instanton such that the
conifold is smoothed out and has a torsion that diverges in IR regime and
vanish in UV regime.
