Generalized Metric Formulation of Double Field Theory on Group Manifolds

Understand

We rewrite the recently derived cubic action of Double Field Theory on group manifolds [arXiv:1410.6374] in terms of a generalized metric and extrapolate it to all orders in the fields.

• For the resulting action, we derive the field equations and state them in terms of a generalized curvature scalar and a generalized Ricci tensor.
• Compared to the generalized metric formulation of DFT derived from tori, all these quantities receive additional contributions related to the non-trivial background.
• It is shown that the action is invariant under its generalized diffeomorphisms and 2D-diffeomorphisms.