Manifestly invariant actions for harmonic self-dual gauge theory

1998/12/30 by Olaf Lechtenfeld, Lechtenfeld, Olaf, Boris Zupnik +1
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/9812244

16 pages, no figures

arxiv created 1998/12/30 · arxiv updated 2009/11/30

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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