Dynamical approach for holographic RG flows in supergravity

Utilizing holographic duality, it is possible to establish a certain correspondence between the renormalization group equations on the side of quantum field theory and the classical dynamical system on the side of gravity. In my talk I will discuss the fundamental principles and peculiarities of this approach in studying quantum field theories from the perspective of gravity. Using a simple supergravity model as an example, we will discuss the rules for constructing and analyzing dynamic systems, including exotic renormalization group flows and potential bifurcation points.