Higher-spin fields are solved exactly on the Taub-NUT instanton in the self-dual Yang-Mills truncation, and an order-by-order convergent higher-spin Taub-NUT solution is constructed in self-dual gravity, organized by a commutative non-associative algebra.
Area Preserving Diffeomorphisms and Higher Spin Algebra,
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Higher-spins on Taub-NUT and higher-spin Taub-NUT
Higher-spin fields are solved exactly on the Taub-NUT instanton in the self-dual Yang-Mills truncation, and an order-by-order convergent higher-spin Taub-NUT solution is constructed in self-dual gravity, organized by a commutative non-associative algebra.