Courant contact models

We show how to assign a (typically infinite-dimensional) dg symplectic manifold, called Courant contact model, to any Courant algebroid over a sheaf of cdgas. In the particular case of the algebra of Dolbeaut forms we construct a -1 symplectic example which provides a conjectural description of the twist of 10-dimensional supergravity in the sense of Costello-Li. This is a joint work with J. Kupka, I. Saberi, and C. Strickland-Constable.