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.
arXiv comment4 pages, no figures. References and discussion added. Final version to appear in PRD
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