Eur. Phys. J. C 19, 379-381
DOI: 10.1007/s100520100596

Local duality, chiral supersymmetry and fermion-like formulation of non-Abelian pure gauge fields

B. Mirza^{1, 2} and R. Rashidi<sup>1

1</sup>  Department of Physics, Isfahan University of Technology, Isfahan 84154, Iran
²  Institute for Studies in Theoretical Physics and Mathematics, P.O. Box 5746, Tehran, 19395, Iran

(Received: 19 June 2000 / Revised version: 10 October 2000 / Published online: 15 March 2001 -© Springer-Verlag 2001)

Abstract
This work generalizes the fermion-like formulation of the Maxwell theory to the non-Abelian Yang-Mills theory without matter fields. This is a new representation of the Lie algebra valued electric and magnetic fields. The resulting equations of motion are invariant under the chiral transformation. In this formulation, duality is a kind of chirality. We may also define local duality transformations in terms of space-time dependent parameters. There is an N=1 supersymmetry for the Dirac-like operator in this representation.

© Società Italiana di Fisica, Springer-Verlag 2001