Abstract:

In this talk, we will discuss calculations of one-point and two-point functions in the holographic renormalization group flow in the 3d supergravity model. First, we briefly review the procedure of the holographic renormalization, which yields the notion of the holographic RG flow. The holographic RG flow is described by the domain wall solution, which is asymptotically AdS and contains a scalar field with certain boundary conditions imposed. This solution can be interpreted as a deformation of a dual theory either by a relevant operator or a vacuum expectation value (VEV) of the operator. We will find one-point functions for scalar operators and components of stress energy tensor. Then we will discuss the perturbations of the metric and the scalar field to find two-point correlation functions for scalar operators.