A no-go theorem for string warped compactifications
High Energy Physics - Theory
2009-10-09 v3
Abstract
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.
Cite
@article{arxiv.hep-th/0008232,
title = {A no-go theorem for string warped compactifications},
author = {S. Ivanov and G. Papadopoulos},
journal= {arXiv preprint arXiv:hep-th/0008232},
year = {2009}
}
Comments
Latex, 13 pages, some more explanation of the background material has been added