Gauged Courant sigma models

We propose a new class of sigma models based on Courant sigma models.

We refer to these models as gauged Courant sigma models (GCSMs).

By introducing additional gauge symmetries, such as those associated with a Lie group, a Lie groupoid (or Lie algebroid), and a Courant algebroid on the target space, Courant sigma models are extended to gauged sigma models of AKSZ type.

The consistency of the theory is ensured by identities among geometric quantities on Lie algebroids and Courant algebroids, such as curvatures and torsions, which can be interpreted as flatness conditions on the target space.

We also analyze geometric structures of GCSMs in the presence of fluxes and boundaries.