Speaker
Jan Rosseel
Description
In this talk, I will briefly review how curved Riemannian manifolds, on which relativistic supersymmetric field theories can be defined, are found by studying a suitable set of differential Killing spinor equations. These Killing spinor equations are determined by the supersymmetry transformation rules of the fermionic fields of off-shell relativistic supergravity. I will then argue that one can obtain curved Newton-Cartan backgrounds, on which non-relativistic supersymmetric field theories can be put, by studying a set of non-relativistic Killing spinor equations, that include both algebraic and differential equations. Finally, some examples and properties of these curved backgrounds will be discussed.
