Scalar and spinor field actions on fuzzy S4: fuzzy \mathbb{C}{{\text{P}}^3} as a S_F^2 bundle over S_F^4

We present a manifestly Spin(5) invariant construction of s quashed fuzzy CP3 as a fuzzy S2 bundle over fuzzy S4 . We develop the necessary projectors and exhibit the squashing in terms of the radii of the S2 and S4 . Our analysis allows us give both scalar and spinor fuzzy action functionals whose low lying modes are truncated versions of those of a commutative S4 .