$\mathbb{C}{P}^2$ and $\mathbb{C}{P}^1$ Sigma Models in Supergravity: Bianchi type IX Instantons and Cosmologies

M. M. Akbar, P. D. D'Eath

We find instanton/cosmological solutions with biaxial Bianchi-IX symmetry, involving non-trivial spatial dependence of the $\mathbb{C}{P}^1$- and $\mathbb{C}{P}^2$-sigma-models coupled to…