Speaker
Jie Ren
(Hebrew University)
Description
An exact solution to Einstein's equations for holographic
models is presented and studied. The IR geometry has a
timelike cousin of the Kasner singularity, which is the less
generic case of the BKL (Belinski-Khalatnikov-Lifshitz)
singularity, and the UV is asymptotically AdS. This solution
describes a holographic RG flow between them. The solution's
appearance is an interpolation between the planar AdS black
hole and the AdS soliton. The causality constraint is always
satisfied. The boundary condition for the current-current
correlation function and the Laplacian in the IR is examined in
detail. There is no infalling wave in the IR, but instead, there
is a normalizable solution in the IR. In a special case, a
hyperscaling-violating geometry is obtained after a dimension
reduction.
