FUZZY CONIFOLD $Y_F^6$ AND MONOPOLES ON $S_F^2\times S_F^2$

Abstract

In this paper, we construct the fuzzy (finite-dimensional) analogs of the conifold Y6 and its base X5. We show that fuzzy X5 is (the analog of) a principal U(1) bundle over fuzzy spheres [Formula: see text] and explicitly construct the associated monopole bundles. In particular, our construction provides an explicit discretization of the spaces Tκ, κ and Tκ, 0.