​​Nonrelativistic Strings and Beyond

Nonrelativistic quantum gravity and string theory may provide a third route towards understanding relativistic quantum gravity, complementing the more conventional paths that approach the latter either from the quantum field theory or general relativity perspective. In particular, nonrelativistic string theory is a corner of string theory with a Galilei-like spectrum. The formulation on a flat target spacetime was introduced already twenty years ago, but recent progress in our understanding of non-Lorentzian geometries such as Newton-Cartan geometry has enabled to formulate this sector on arbitrary curved non-relativistic spacetimes. Moreover, proposals exist for nonrelativistic world-sheet models that play a role in tractable (non-relativistic) limits of holography. In the last years, this field has seen various new developments, such as beta-functions, nonrelativistic background solutions, supersymmetric extensions, non-perturbative duality symmetries and study of nonrelativistic D-branes and M-theory, as well as novel non-relativistic supersymmetric quantum field theories.