$O(d,d)$ symmetric gravity and finite coupling holography
Umut Gürsoy, Pedro Vicente Marto, Edwan Préau
TLDR
This paper constructs AdS$_5$ black brane solutions in $O(d,d)$ symmetric gravity, finding singularities persist but are modified, and suggests a mechanism for asymptotic freedom.
Key contributions
- Constructs AdS$_5$ black brane solutions in $O(d,d)$ symmetric gravity with infinite curvature corrections.
- Finds that curvature corrections do not resolve the black brane singularity.
- Shows the approach to the singularity is modified, characterized by different Kasner exponents.
- Proposes a mechanism for dynamic negative cosmological constant, relevant for QCD's asymptotic freedom.
Why it matters
This paper advances our understanding of black hole singularities in $O(d,d)$ symmetric gravity. It also proposes a mechanism for asymptotic freedom in QCD's string dual via a dynamically generated negative cosmological constant.
Original 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.
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