arXiv:hep-th/0212035v2 12 Dec 2002 Preprint typeset in JHEP style - HYPER VERSION Boundary conditions as constraints Juan M. Romero and J. David Vergara Instituto de Ciencias Nucleares, U.N.A.M., A. Postal 70-543, M´ exico D.F., M´ exico E-mail: sanpedro@nuclecu.unam.mx, vergara@nuclecu.unam.mx Abstract: A new method to compute the symplectic structure of a quantum field theory with non trivial boundary conditions is proposed. Following the suggestion in [1, 2], we regard that the boundary conditions are second class constraints in the sense of the Dirac’s method. However, we show that this proposal is more useful if we consider an inverse of the Holographic map between a theory defined in the boundary to another with constraints but without boundary.