Proof of absence of de Sitter vacua in classical type II supergravity
High Energy Physics - Theory
2021-09-10 v2 General Relativity and Quantum Cosmology
Abstract
We consider classical type II supergravity with arbitrary fluxes, Dirichlet branes and orientifold planes and prove that a four-dimensional compactification of this theory can never correspond to a metastable de Sitter state.
Keywords
Cite
@article{arxiv.2109.01832,
title = {Proof of absence of de Sitter vacua in classical type II supergravity},
author = {Harald Skarke},
journal= {arXiv preprint arXiv:2109.01832},
year = {2021}
}
Comments
The proof as given in v1 cannot be correct bcause, with the same methods, a number of well-known models could also be excluded. The error consisted in an application of the variational principle in section 4 in a manner that was too general, particularly with respect to nontrivial fluxes