Duality of Self-Dual Actions

Details Duality of Self-Dual Actions Duality of Self-Dual Actions

1998-05-18

arxiv.org/abs/hep-th/9805110v3

Nucl.Phys. B539 (1999) 438-452

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX file, 14 pages. Typos corrected

Scientific paper

10.1016/S0550-3213(98)00741-X

Using examples of a D=2 chiral scalar and a duality-symmetric formulation of D=4 Maxwell theory we study duality properties of actions for describing chiral bosons. In particular, in the D=4 case, upon performing a duality transform of an auxiliary scalar field, which ensures Lorentz covariance of the action, we arrive at a new covariant duality-symmetric Maxwell action, which contains a two-form potential as an auxiliary field. When the two-form field is gauge fixed this action reduces to a duality-symmetric action for Maxwell theory constructed by Zwanziger. We consider properties of this new covariant action and discuss its coupling to external dyonic sources. We also demonstrate that the formulations considered are self-dual with respect to a dualization of the field-strengths of the chiral fields.

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