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Manifestly invariant actions for harmonic self-dual gauge theory

Olaf Lechtenfeld·Boris Zupnik
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Abstract

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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Olaf Lechtenfeld, Boris Zupnik. 1998-12-30. Manifestly invariant actions for harmonic self-dual gauge theory. https://arxiv.org/abs/hep-th/9812244

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