2000/08/31 by S. Ivanov, G. Papadopoulos · 3 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Geometry and complex manifolds #Homotopy and Cohomology in Algebraic Topology #hep-th
paper · pdf · doi:10.1016/s0370-2693(00)01330-7
published as Phys.Lett.B497:309-316,2001 · Latex, 13 pages, some more explanation of the background material has been added
arxiv created 2000/11/07 · openalex publication_date 2001/01/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
We give necessary conditions for the existence of perturbative heterotic and common sector type II string warped compactifications preserving four and eight supersymmetries to four spacetime dimensions, respectively. In particular, we find that the only compactifications of heterotic string with the spin connection embedded in the gauge connection and type II strings are those on Calabi-Yau manifolds with constant dilaton. We obtain similar results for compactifications to six and to two dimensions.