Note on Self-Duality and the Kodama State

Details Note on Self-Duality and the Kodama State Note on Self-Duality and the Kodama State

2003-11-11

arxiv.org/abs/hep-th/0311089v3

Phys.Rev. D69 (2004) 047702

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1103/PhysRevD.69.047702

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.

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