Manifestly $O(d,d)$ Invariant Approach to Space-Time Dependent String Vacua

TL;DR

This paper develops an $O(d,d)$-invariant formulation of string vacua equations of motion for space-time dependent backgrounds, unifying various solutions and revealing a connection to renormalization group ideas.

Contribution

It presents a manifestly $O(d,d)$-invariant low energy framework for space-time dependent string vacua, including solutions like cosmologies and black holes.

Findings

Recovered cosmological solutions as special cases

Unified black hole solutions within the $O(d,d)$-invariant framework

Identified a similarity with the renormalization group approach

Abstract

An $O(d,d)$ symmetry of the manifold of string vacua that do not depend on $d$ (out of $D$) space-time coordinates has been recently identified. Here we write down, for $d=D-1$, the low energy equations of motion and their general solution in a manifestly $O(d,d)$-invariant form, pointing out an amusing similarity with the renormalization group framework. Previously considered cosmological and black hole solutions are recovered as particular examples.