The SU(3)-invariant quadratic-exponential expander-family conjecture

Let $\Lambda^2_-\mathbb{CP}^2$ denote the anti-self-dual bundle of the complex projective plane. A complete expander has quadratic-exponential volume growth when its volume grows at the quadratic-exponential rate described by the corresponding end model. SU(3)-invariant quadratic-exponential family conjecture. There exists a $1$-parameter family of complete $\textup{SU}(3)$-invariant expanders defined on $\Lambda^2_-\mathbb{CP}^2$, all with quadratic-exponential volume growth. The conjecture describes the expected transition family between AC and forward-incomplete smoothly-closing expanders; it remains open.