Compactification of D = 11 supergravity on spaces of exceptional holonomy

1995/06/30 by G. Papadopoulos, P.K. Townsend, P. K. Townsend · 179 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Compactification (mathematics) #F-theory #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Heterotic string theory #Higher-dimensional supergravity #Holonomy #String theory #Supergravity #hep-th

paper · pdf · doi:10.1016/0370-2693(95)00929-f

published in Physics Letters B 357(3), 300-306 (Elsevier BV) · Minor amendments plus some new references

arxiv created 1995/06/30 · openalex publication_date 1995/09/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

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 h_1,1=h_1,2=19 play a significant role in the proposed equivalences.

Citations

• Complete intersection Calabi-Yau manifolds
• The geometry of N = 2 Maxwell-Einstein supergravity and Jordan algebras
• Supergravity in theory in 11 dimensions
• Unity of superstring dualities
• Supermembranes and eleven-dimensional supergravity

Cited by

• Higher-dimensional analogues of Donaldson-Witten theory
• Orientifolds of type IIA strings on Calabi-Yau manifolds