New non-perturbative de Sitter vacua in α′-complete cosmology

A bstract The α′ -complete cosmology developed by Hohm and Zwiebach classifies the O( d, d ; ℝ) invariant theories involving metric, b -field and dilaton that only depend on time, to all orders in α′ . Some of these theories feature non-perturbative isotropic de Sitter vacua in the string frame, generated by the infinite number of higher-derivatives of O( d, d ; ℝ) multiplets. Extending the isotropic ansatz, we construct stable and unstable non-perturbative de Sitter solutions in the string and Einstein frames. The generalized equations of motion admit new solutions, including anisotropic d + 1-dimensional metrics and non-vanishing b -field. In particular, we find dS n +1 × T d−n geometries with constant dilaton, and also metrics with bounded scale factors in the spatial dimensions with non-trivial b -field. We discuss the stability and non-perturbative character of the solutions, as well as possible applications.