Scalar and Spinor Field Actions on Fuzzy $S^4$: fuzzy $CP^3$ as a
$S^2_F$ bundle over $S^4_F$ [PDF]
Julieta Medina, Idrish Huet, Denjoe O'Connor, Brian P. DolanWe present a manifestly Spin(5) invariant construction of squashed fuzzy $CP^3$ as a fuzzy $S^2$ bundle over fuzzy $S^4$. We develop the necessary projectors and exhibit the squashing in terms of the radii of the $S^2$ and $S^4$. Our analysis allows us give both scalar and spinor fuzzy action functionals whose low lying modes are truncated versions of those of a commutative $S^4$.View original: http://arxiv.org/abs/1208.0348
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