Abstract
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 dSn+1× Td−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.
Highlights
A no-go theorem states that there are no stable or unstable dSn solutions for n ≥ 4 at tree-level in heterotic and type II string theories [2], and even further, it is conjectured that no stable or meta-stable dS vacua can exist in a consistent quantum theory of gravity [3,4,5]
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
Understanding the cosmological consequences of classical string theory requires the knowledge of the infinitely many higher order corrections that it induces on the Einstein equations
Summary
The seminal framework developed in [6, 7] is based on Sen’s observation [11] that the low energy effective field theory of the universal gravitational sector of string theory in D = d+1 dimensions displays a global O(d, d; R) symmetry to all orders in α , when the fields do not depend on the d spatial coordinates. This symmetry, referred to as ‘duality’, contains the scale-factor duality a ↔ a−1 [16, 17].
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
