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Note on Self-Duality and the Kodama State

arXiv:hep-th/0311089 · doi:10.1103/PhysRevD.69.047702

Abstract

An interesting interplay between self-duality, the Kodama (Chern-Simons) state and knot invariants is shown to emerge in the quantum theory of an Abelian gauge theory. More precisely, when a self-dual representation of the CCR is chosen, the corresponding vacuum in the Schroedinger representation is precisely given by the Kodama state. Several consequences of this construction are explored.

4 pages, no figures. References and discussion added. Final version to appear in PRD

Note on Self-Duality and the Kodama State · wovepaper