From Multipartite Entanglement to TQFT

Michele Del Zotto; Abhijit Gadde; Pavel Putrov

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arXiv · 2602.16770

From Multipartite Entanglement to TQFT

Michele Del Zotto·Abhijit Gadde·Pavel Putrov

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Abstract

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.

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Michele Del Zotto, Abhijit Gadde, Pavel Putrov. 2026-02-18. From Multipartite Entanglement to TQFT. https://arxiv.org/abs/2602.16770

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