Symmetries of higher-order string gravity actions

TL;DR

This paper demonstrates that the time-dependent string gravity Lagrangian with up to four derivatives remains invariant under the global $O(d,d)$ symmetry, highlighting a fundamental symmetry in higher-order string gravity actions.

Contribution

It explicitly proves the invariance of higher-derivative string gravity actions under $O(d,d)$ symmetry, extending previous results to more complex Lagrangians.

Findings

Invariance of the Lagrangian under $O(d,d)$ symmetry is established.

The proof applies to actions with up to four derivatives.

Supports the role of $O(d,d)$ symmetry in higher-order string theories.

Abstract

In this paper we explicitly prove the invariance of the time-dependent string gravity Lagrangian with up to four derivatives under the global $O(d,d)$ symmetry.