Note on self-duality and the Kodama state

Alejandro Corichi and Jerónimo Cortez
Phys. Rev. D 69, 047702 – Published 27 February 2004
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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 Schrödinger representation is precisely given by the Kodama state. Several consequences of this construction are explored.

  • Received 18 November 2003

DOI:https://doi.org/10.1103/PhysRevD.69.047702

©2004 American Physical Society

Authors & Affiliations

Alejandro Corichi* and Jerónimo Cortez

  • Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de México, A. Postal 70-543, México D.F. 04510, Mexico

  • *Electronic address: corichi@nuclecu.unam.mx
  • Electronic address: cortez@nuclecu.unam.mx

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Issue

Vol. 69, Iss. 4 — 15 February 2004

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