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Vector non-Abelian Chern-Simons duality

H. García-Compeán*

O. Obregón†

C. Ramírez‡

  • Departamento de Física, Centro de Investigación y de Estudios Avanzados del IPN, P. O. Box 14-740, 07000, México Distrito Federal, Mexico

  • Instituto de Física de la Universidad de Guanajuato, P. O. Box E-143, 37150, León Guanajuato, Mexico

  • Facultad de Ciencias Físico Matemáticas, Universidad Autónoma de Puebla, P. O. Box 1364, 72000, Puebla, Mexico

  • *Email address: compean@fis.cinvestav.mx
  • †Email address: octavio@ifug3.ugto.mx
  • ‡Email address: cramirez@fcfm.buap.mx
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Phys. Rev. D 65, 045006 – Published 18 January, 2002

DOI: https://doi.org/10.1103/PhysRevD.65.045006

Abstract

Abelian Chern-Simons gauge theory is known to possess an “S−self−dual” action where its coupling constant k is inverted, i.e., k↔1/k. Here a vector non-Abelian duality is found in the pure non-Abelian Chern-Simons action at the classical level. The dimensional reduction of the dual Chern-Simons action to two dimensions constitutes a dual Wess-Zumino-Witten action already given in the literature.

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Phys. Rev. D 65, 045006– Published 18 January, 2002
  • Received 20 March 2001

© 2002 American Physical Society

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