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math.DG2026
On the generalised Lie derivative of (s)pinor fields
Frederik Ďalak, 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…
hep-th2026
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…
math-ph2026
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…