Speaker
Richard Eager
Description
We perform the maximal twist of eleven-dimensional supergravity. This twist is partially topological and exists on manifolds of G2 × SU(2) holonomy. Our derivation starts with an explicit description of the Batalin-Vilkovisky complex associated to the three-form multiplet in the pure spinor superfield formalism. We then determine the L∞ module structure of the supersymmetry algebra on the component fields. We twist the theory by modifying the differential of the Batalin-Vilkovisky complex to incorporate the action of a scalar supercharge. We find that the resulting free twisted theory is given by the tensor product of the de Rham and Dolbeault complexes of the respective G2 and SU(2) holonomy manifolds as conjectured by Costello.
