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Compactification of D=11 supergravity on spaces of exceptional holonomy
Papadopoulos, G J, Townsend, P K
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Abstract
We investigate the compactification of D=11 supergravity to D=5,4,3, on compact manifolds of holonomy SU(3) (Calabi-Yau), G_2, 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) (K_3\\times S^1), SU(3), and G_2, respectively. The complete intersection Calabi manifold with Hodge numbers h_{1,1}=h_{1,2}=19 plays a significant role in the proposed equivalences.