A pure-connection derivation yields Plebanski's second heavenly equation on flat and constant-curvature backgrounds, packaged in a compact covariant form with a new interpretation of the self-dual Yang-Mills kinematic algebra.
AN INFINITE HIERARCHY OF CONSER V ATION LA WS AND NON- LINEAR SUPERPOSITION PRINCIPLES FOR SELFDUAL EINSTEIN SPA CES,
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Pure connection formalism and Plebanski's second heavenly equation
A pure-connection derivation yields Plebanski's second heavenly equation on flat and constant-curvature backgrounds, packaged in a compact covariant form with a new interpretation of the self-dual Yang-Mills kinematic algebra.