Invariances and Equations of Motion in Double Field Theory

TL;DR

This paper explores the equations of motion in double field theory, emphasizing their symmetry properties and deriving a Ricci-like tensor, thereby advancing the understanding of its geometric structure.

Contribution

It introduces a Ricci-like tensor and Bianchi identities in double field theory, connecting these results to the generalized metric formulation for the first time.

Findings

Derived a Ricci-like tensor in double field theory

Established Bianchi identities for the equations of motion

Linked results to generalized metric formulation

Abstract

We investigate the full set of equations of motion in double field theory and discuss their O(D,D) symmetry and gauge transformation properties. We obtain a Ricci-like tensor, its associated Bianchi identities, and relate our results to those with a generalized metric formulation.