Matched pairs of Courant algebroids
  We introduce the notion of matched pairs of Courant algebroids and give several examples arising naturally from complex manifolds, holomorphic Courant algebroids, and certain regular Courant algebroids. We consider the matched sum of two Dirac subbundles, one in each of two Courant algebroids forming a matched pair. 
Melchior Gr\"utzmann, Mathieu Sti\'enon
math.DG