Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1995-06-22
Phys.Lett.B357:300-306,1995
Physics
High Energy Physics
High Energy Physics - Theory
Minor amendments plus some new references
Scientific paper
10.1016/0370-2693(95)00929-F
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.
Papadopoulos George
Townsend Paul K.
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