Background independent holographic description : From matrix field theory to quantum gravity

Understand

We propose a local renormalization group procedure where length scale is changed in spacetime dependent way.

• Combining this scheme with an earlier observation that high energy modes in renormalization group play the role of dynamical sources for low energy modes at each scale, we provide a prescription to derive background independent holographic duals for field theories.
• From a first principle construction, it is shown that the holographic theory dual to a D-dimensional matrix field theory is a (D+1)-dimensional quantum theory of gravity coupled with matter fields of various spins.
• The gravitational theory has (D+1) first-class constraints which generate local spacetime transformations in the bulk.