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.

Introduction and Conclusions have been extended, some appropriate references have been added. 8 pages. submitted to physics letters B