$O(d,d)$ symmetric gravity and finite coupling holography

TL;DR

This paper constructs asymptotically AdS$_5$ black brane solutions with infinite curvature corrections based on an $O(d,d)$ symmetric action, exploring singularity behavior and potential mechanisms for asymptotic freedom in holography.

Contribution

It introduces a class of $O(d,d)$ symmetric gravity theories with curvature corrections and analyzes their effects on black brane singularities and holographic duals.

Findings

Singularity behind the horizon remains unresolved by curvature corrections.

The approach to the singularity is modified, with different Kasner exponents.

Curvature corrections can generate a negative cosmological constant in small coupling regions.

Abstract

We construct asymptotically AdS$_5$ black brane solutions in a theory of gravity with an infinite series of curvature corrections. The action is based on an $O(d,d)$ symmetric ansatz which has been argued to describe the classical NSNS sector of string theories. We find that, for this general class of theories, the singularity behind the horizon is not resolved by the curvature corrections. The approach to the singularity is however generically modified, being characterized by different Kasner exponents. We also show that, in the presence of a non-trivial dilaton, a slight generalization of these types of curvature corrections can generate dynamically a negative cosmological constant in the region of small coupling. This provides a mechanism through which asymptotic freedom could emerge in the hypothetical string dual of QCD.