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arXiv · hep-th/9506150

Compactification of D=11 supergravity on spaces of exceptional holonomy

G. Papadopoulos·P. K. Townsend
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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. Calabi-Yau manifolds with Hodge numbers $h_{1,1}=h_{1,2}=19$ play a significant role in the proposed equivalences.

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G. Papadopoulos, P. K. Townsend. 1995-06-30. Compactification of D=11 supergravity on spaces of exceptional holonomy. https://doi.org/10.1016/0370-2693(95)00929-f

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