String Theory Journal Club

Holographic duality conjecture states that a D-dimensional quantum field theory can be duality-mapped into a (D+1)-dimensional quantum gravity theory, where the quantum gravity theory is a “hologram” of the quantum field theory. Although this holographic duality conjecture serves as a novel non-perturbative theoretical framework for strongly coupled quantum field theories, the duality transformation has not been clarified until now. In this study we propose a prescription for the holographic duality transformation based on Wilsonian recursive renormalization group (RG) transformations. As a result, we manifest the RG flow of an effective field theory with the introduction of an emergent extra dimensional space, where RG \beta-functions to describe the evolution of coupling functions appear in the resulting effective action explicitly through the extra dimensional space. This microscopic construction of the dual holographic mapping suggests that the origin of non-perturbative physics is in intertwined renormalization between dynamics and geometry. Link: https://mpi-aei.zoom.us/j/95396267871