  In this article, we make a gauge theory from the Open p-brane system and map
it into the Open 2-brane one. Due to the presence of second class constraints
in this model, we encounter some problems during the procedure of quantization.
In this regard, considering boundary conditions as Dirac conditions, one can
drive the constrained structure of the model at first. Then, with the help of
BFT formalism of constraint systems, the Open 2-brane model is embedded into an
extended phase space. For this purpose, we introduce some tensor fields to
convert ungauged theory into the gauged one. This is the novel part of our
research, while mostly scalar and vector fields are used to convert second
class constraints into first ones.
