2026/02/18 by Michele Del Zotto, Abhijit Gadde, Pavel Putrov
#hep-th #cond-mat.str-el #math-ph #math.MP #math.QA #quant-ph
At long distances, a gapped phase of matter is described by a topological quantum field theory (TQFT). We conjecture a tight and concrete relationship between the genuine (d+1)-partite entanglement -- labelled by a d-dimensional manifold M -- in the ground state of a (d-1)+1-dimensional gapped theory and the partition function of the low energy TQFT on M. Under certain assumptions, the conjecture implies that for d=3, the ground state wavefunction can determine the modular tensor category description of the low energy TQFT. We verify our conjecture for general (2+1)-dimensional Levin-Wen string-net models.