Holographic renormalization for Lifshitz spacetimes

This dissertation sets up a foundation for studying physical systems in the vicinity of a strongly-coupled UV fixed point with non-relativistic scaling via holography. The dual gravitational description is defined through imposing asymptotic boundary conditions that are consistent with Lifshitz-type scaling symmetry that treats time and space differently: t → b^zt, x → bx. Special attention is given to the case in which the dynamical exponent is z = 2, i.e. when the system shows a quadratic dispersion. Such a system exhibits a Weyl-type anomaly in 3 spacetime dimensions, which is analyzed in detail.