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Paper   IPM / Physic / 6838
School of Physics
  Title:   Local Duality, Chiral Supersymmetry and Fermion-Like Formulation of Non-Abelian Pure Gauge Fields
1.  B. Mirza
2.  R. Rashidi
  Status:   Published
  Journal: Eur. Phys. J. C
  No.:  2
  Vol.:  19
  Year:  2001
  Pages:   379-381
  Supported by:  IPM
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.

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