9 papers
On the generalised Lie derivative of (s)pinor fields
Frederik Äalak, Fridrich Valach
Although the action of diffeomorphisms on pinor (or spinor) fields is geometrically unambiguous, the definition of a natural Lie derivative is more subtle and requires some underst…
Kodaira-Spencer theory for flux backgrounds
Caleb Jonker, Julian Kupka, Ingmar Saberi +2
We give an explicit description (in component fields) of a holomorphic theory associated to a general supersymmetric background of supergravity in ten dimensions. Co…
Kodaira-Spencer theory for Courant algebroids
Julian Kupka, Ingmar Saberi, Charles Strickland-Constable +1
Studying Courant algebroids on dg ringed manifolds, we observe that the associated Roytenberg-Weinstein algebra admits a local structure reminiscent of a shifted contact…
Geometry of supergravity and the Batalin--Vilkovisky formulation of the theory in ten dimensions
Julian Kupka, Charles Strickland-Constable, Fridrich Valach
We provide full details of a BV formulation of supergravity in ten dimensions, to all orders in fermions, built from the generalised geometry description of the theo…
Higher fermions in supergravity
Julian Kupka, Charles Strickland-Constable, Fridrich Valach
We show that the generalised geometry formalism provides a new approach to the description of higher-fermion terms in supergravity in ten dimensions, which does not…
Direct derivation of supergravity in ten dimensions to all orders in fermions
Julian Kupka, Charles Strickland-Constable, Fridrich Valach
It has been known for some time that generalised geometry provides a particularly elegant rewriting of the action and symmetries of 10-dimensional supergravity theories, up to the…