Correlation Functions in Holographic RG Flow of 3d Supergravity

In this work we study holographic RG flows in $$3$$ -dimensional supergravity model with a scalar field and non-trivial potential. The holographic RG flow is described by the domain wall solution, which is asymptotically AdS and includes a scalar field and is defined by the Dirichlet boundary conditions. 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. VEVs of the scalar operators are calculated which confirm that the interpretation of the deformation of the dual theory is valid.