Speaker
Description
We focus on the study of RG flows of conformal field theories that are holographically dual to Poincare domain wall solutions in $D=3$, $N=(2,0)$ gauged supergravity coupled to a sigma model with target spaces $S^2$ or $\mathbb{H}^2$. This theory is truncated to a subsector where the vector field and phase of the scalar field vanish and we consider dynamics of 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. Obtained RG flows are interpreted using the holographic dictionary. For the case of $S^2$ target space we also provide and interpretate thermal flows as a special gravitational solutions. During the talk we consider exotic RG flows and give some hints to understand their nature.
