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26 April 2024
 
  » arxiv » hep-th/0311089

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Note on Self-Duality and the Kodama State
Alejandro Corichi ; Jeronimo Cortez ;
Date 11 Nov 2003
Journal Phys.Rev. D69 (2004) 047702
Subject High Energy Physics - Theory; Mathematical Physics | hep-th gr-qc math-ph math.MP
AbstractAn 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.
Source arXiv, hep-th/0311089
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