# Integrable reductions of Spin(7)- and G2-invariant self-dual Yang–Mills equations and gravity

@article{Sfetsos2002IntegrableRO, title={Integrable reductions of Spin(7)- and G2-invariant self-dual Yang–Mills equations and gravity}, author={K. Sfetsos}, journal={Nuclear Physics}, year={2002}, volume={629}, pages={417-444} }

Abstract There is remarkable relation between self-dual Yang–Mills and self-dual Einstein gravity in four Euclidean dimensions. Motivated by this we investigate the Spin (7)- and G 2 -invariant self-dual Yang–Mills equations in eight and seven Euclidean dimensions and search for their possible analogs in gravitational theories. The reduction of the self-dual Yang–Mills equations to one dimension results into systems of first order differential equations. In particular, the Spin (7)-invariant… CONTINUE READING

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