3D Dynamics of 4D Topological BF Theory With Boundary

Understand

We consider the four dimensional abelian topological BF theory with a planar boundary introduced following the Symanzik's method.

• We find the most general boundary conditions compatible with the fields equations broken by the boundary.
• The residual gauge invariance is described by means of two Ward identities which generate an algebra of conserved currents.
• We interpret this algebra as canonical commutation relations of fields, which we use to construct a three dimensional Lagrangian.