  We consider the fermionization of a bosonic free theory characterized by the
3+1D scalar - tensor duality. This duality can be interpreted as the
dimensional reduction, via a planar boundary, of the 4+1D topological BF
theory. In this model, adopting the Sommerfield tomographic representation of
quantized bosonic fields, we explicitly build a fermionic operator and its
associated Klein factor such that it satisfies the correct anticommutation
relations. Interestingly, we demonstrate that this operator satisfies the
massless Dirac equation and that it can be identified with a 3+1D Weyl spinor.
Finally, as an explicit example, we write the integrated charge density in
terms of the tomographic transformed bosonic degrees of freedom.
