1212.1728 (Cynthia Keeler)

Scalar Boundary Conditions in Lifshitz Spacetimes    [PDF]

Cynthia Keeler

We investigate the conditions imposable on a scalar field at the boundary of the so- called Lifshitz spacetime which has been proposed as the dual to Lifshitz field theories. For effective mass squared between -(d+z-1)^2/4 and z^2-(d+z-1)^2/4, we find a one-parameter choice of boundary condition type. The bottom end of this range corresponds to a Breitenlohner-Freedman bound; below it, the Klein-Gordon operator need not be positive, so we cannot make sense of the dynamics. Above the top end of the range, only one boundary condition type is available; here we expect compact initial data will remain compact in the future.

View original: http://arxiv.org/abs/1212.1728