Manifestly invariant actions for harmonic self-dual gauge theory

Details Manifestly invariant actions for harmonic self-dual gauge theory Manifestly invariant actions for harmonic self-dual gauge theory

1998-12-30

arxiv.org/abs/hep-th/9812244v1

Physics

High Energy Physics

High Energy Physics - Theory

16 pages, no figures

Scientific paper

We discuss alternative descriptions of four-dimensional self-dual Yang-Mills fields in harmonic space with additional commuting spinor coordinates. In particular, the linear analyticity equation and nonlinear covariant harmonic-field equations are studied. A covariant harmonic field can be treated as an infinite set of ordinary four-dimensional fields with higher spins. We analyze different constructions of invariant harmonic-field actions corresponding to the self-dual harmonic equations.

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