Room 327

A Modular Sewing Kit for Entanglement Wedges

Sitender Kashyap

IMSc

We continue our discussion from last week and complete the argument to what extent does the Berry Curvature know about the bulk Riemann tensor. We shall lift the discussion of Berry transport problem from last time where we transported ground states to a transport involving some unitary operators on the boundary side of AdS/CFT setup. Next we observe the effect of these boundary operators in the bulk side and view their presence as vectors fields relating local coordinates on nearby HRT surfaces. The transport problem using these fields in the bulk will contain the bulk Riemann tensor in a certain form (along with extrinsic curvature).