The Kodama state for topological quantum field theory beyond instantons

Abstract

Constructing a symplectic structure that preserves the ordinary symmetries and the topological invariance for topological Yang-Mills theory, it is shown that the Kodama (Chern-Simons) state traditionally associated with a topological phase of unbroken diffeomorphism invariance for instantons, exists actually for the complete topological sector of the theory. The case of gravity is briefly discussed.Comment: Introduction and Conclusions have been extended, some appropriate references have been added. 8 pages. submitted to physics letters