Abstract:
In my talk I focus on the study of RG flows of conformal field theories that
are holographically dual to Poincaré domain wall solutions in $D = 3$, $N = (2,0)$
gauged supergravity coupled to a sigma model with target space $SU(1,1)/U(1)= H^2$.
This theory is truncated to a subsector where the vector field and
phase of the scalar field vanish and we consider different boundary conditions
for the remaining real scalar field. The RG flows, which are mostly non-
superysymmetric, are analyzed by treating the supergravity field equations as
a dynamical system for the scalar field and its derivative with respect to the
scale factor. Phase diagrams are constructed for different values of the
parameter $a^2$, which is related to the curvature of the scalar manifold.
