IAS Program on Particle Theory

(2+1)D Bulk Spacetime Construction from (1+1)D Transverse-Ising Model

Abstract

The speaker employs the Kitaev superconductor model that is derived from (1+1)D Transverse-Ising Model, and performs the Wilsonian renormalization group transformation in a real space. She regards the running energy scale or the repetition number of RG transformation as a new emergent direction of the spacetime, thus constructs a one-dimensional-higher spacetime. The solution for the beta function obtained from RG procedure is plugged into the effective action and then the RG information is encoded as the curvature of the emergent spacetime. Then she reads off the metric information and finds corresponding spacetimes for each fixed point.

 

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