Non-relativistic ten-dimensional minimal supergravity

A bstract We construct a non-relativistic limit of ten-dimensional $$ \mathcal{N} N = 1 supergravity from the point view symmetries, action, and equations motion. This can only be realized in supersymmetric way provided we impose by hand set geometric constraints, invariant under all symmetries theory, that define so-called ‘self-dual’ Dilatation-invariant String Newton-Cartan geometry. The action exhibits three emerging symmetries: one local scale symmetry two conformal supersymmetries. Due to these Poisson equation for Newton potential partner fermionic do not follow variation but, instead, are obtained supersymmetry other motion action. shortly discuss inclusion Yang-Mills sector would lead heterotic