Beyond AdS Space-times, New Holographic Correspondences and Applications

Understand

To describe Lifshitz and hyperscaling violating (HSV) phenomena in CM one uses gauge fields on the gravity side which naturally realize the breaking of Lorentz invariance.

• These gravity constructions often contain naked singularities.
• In this thesis, we construct a resolution of the infra-red (IR) singularity of the HSV background.
• The idea is to add squared curvature terms to the Einstein-Maxwell dilaton action to build a flow from $\text{AdS}_4$ in the ultra violate (UV) to an intermediating HSV region and then to an $\text{AdS}_2 \times {\text{R}}^2$ region in the IR.