Abstract:
In quantum field theories, interactions between particles can be studied by using Feynman diagrams. Calculating loop Feynman diagrams results in infinite values. This problem can be solved by using a process of renormalization that is the method of removing an infinity. Changing a physical system under different scales forms a group called renormalization group. Some renormalization group flows (RG flows) describe deformations of a conformal field theory (CFT) to another conformal or non-conformal theories, resulting in the deformations of a UV conformal fixed point to another fixed point or a non-conformal phase in the IR. In this work, we study holographic RG flows from $N=2$ gauged supergravity with $SO(2)\times SO(6)$ gauge group. The solutions describe RG flows from the $N=2$ CFT to non-conformal field theory in three dimensions driven by mass deformations according to the so-called AdS/CFT correspondence or AdS/CFT holography.
