Description
In my talk I will consider a gapped theory described by a topological quantum field theory (TQFT) in the IR limit. I will formulate a proposal about how the TQFT data (in particular its partition function on an arbitrary closed manifold) can be recovered from the ground state of the UV theory, in terms of its multi-partite entanglement invariants. I will explain how the proposal can be explicitly verified for 2+1d Levin-Wen string-net model based on an arbitrary spherical fusion category. The talk is based on a joint work with M. Del Zotto and A. Gadde.
