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Phys. Rev. D 69, 047702 (2004) [4 pages]

Note on self-duality and the Kodama state

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Alejandro Corichi* and Jerónimo Cortez
Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de México, A. Postal 70-543, México D.F. 04510, Mexico

Received 18 November 2003; published 27 February 2004

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 Schrödinger representation is precisely given by the Kodama state. Several consequences of this construction are explored.

© 2004 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.69.047702
DOI:
10.1103/PhysRevD.69.047702
PACS:
03.70.+k, 04.62.+v

*Electronic address: corichi@nuclecu.unam.mx

Electronic address: cortez@nuclecu.unam.mx