Note on Self-Duality and the Kodama State
High Energy Physics - Theory
2009-11-10 v3 General Relativity and Quantum Cosmology
Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.hep-th/0311089,
title = {Note on Self-Duality and the Kodama State},
author = {Alejandro Corichi and Jeronimo Cortez},
journal= {arXiv preprint arXiv:hep-th/0311089},
year = {2009}
}
Comments
4 pages, no figures. References and discussion added. Final version to appear in PRD