This work contains a brief review of known plaquette, string, and corner formulations on an infinite lattice, and reports the following new formulations: (1) invariant-plaquette formulation on the infinite lattice, (2) string, invariant-corner, and invariant-plaquette formulations on the finite lattice with periodic boundary conditions. On the finite lattice, new global Bianchi identities appear, conjugate to the new global dual variables, closely related to those of't Hooft.

• Received 6 June 1984

DOI:https://doi.org/10.1103/PhysRevD.30.1782