Description
I wish to apply quantum field theory (and quantum mechanics) to define a quantum gravity theory in a simple case. AdS/CFT and gauge/gravity correspondences suggest calculating bulk quantities by boundary methods, by-passing bulk action principles. Interacting O(N) model quantum mechanics is a simple relative to higher dimensional boundary theories dual to gravity with broken higher spin symmetry. I present some calculations relevant to a connection to d=2 bulk physics, and to choosing between gauging or not gauging theories of N-component vectors in the large N limit.
