Compactification of D=11 supergravity on spaces of exceptional holonomy

الأصل · EN

We investigate the compactification of D=11 supergravity to D=5,4,3, on compact manifolds of holonomy SU(3) (Calabi-Yau), G₂, and Spin(7), respectively, making use of examples of the latter two cases found recently by Joyce. In each case the lower dimensional theory is a Maxwell/Einstein supergravity theory. We find evidence for an equivalence, in certain cases, with heterotic string compactifications from D=10 to D=5,4,3, on compact manifolds of holonomy SU(2) (K₃× S¹), SU(3), and G₂, respectively. Calabi-Yau manifolds with Hodge numbers h₁,₁=h₁,₂=19 play a significant role in the proposed equivalences.