Universality and exactness of Schrodinger geometries in string and M-theory

Understand

We propose an organizing principle for classifying and constructing Schrodinger-invariant solutions within string theory and M-theory, based on the idea that such solutions represent nonlinear completions of linearized vector and graviton Kaluza-Klein excitations of AdS compactifications.

• A crucial simplification, derived from the symmetry of AdS, is that the nonlinearities appear only quadratically.
• Accordingly, every AdS vacuum admits infinite families of Schrodinger deformations parameterized by the dynamical exponent z.
• We exhibit the ease of finding these solutions by presenting three new constructions: two from M5 branes, both wrapped and extended, and one from the D1-D5 (and S-dual F1-NS5) system.