Scalar and Spinor Field Actions on Fuzzy $S^4$: fuzzy $C{P}^3$ as a $S_F^2$ bundle over $S_F^4$

Julieta Medina, Idrish Huet, Denjoe O'Connor +1

We present a manifestly Spin(5) invariant construction of squashed fuzzy $C{P}^3$ as a fuzzy $S^2$ bundle over fuzzy $S^4$. We develop the necessary projectors and exhibit the squash…