From Multipartite Entanglement to TQFT
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2026
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| _version_ | 1866914338395127808 |
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| author | Del Zotto, Michele Gadde, Abhijit Putrov, Pavel |
| author_facet | Del Zotto, Michele Gadde, Abhijit Putrov, Pavel |
| contents | 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 $M$. In particular, 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_16770 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | From Multipartite Entanglement to TQFT Del Zotto, Michele Gadde, Abhijit Putrov, Pavel High Energy Physics - Theory Strongly Correlated Electrons Mathematical Physics Quantum Algebra Quantum Physics 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 $M$. In particular, 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. |
| title | From Multipartite Entanglement to TQFT |
| topic | High Energy Physics - Theory Strongly Correlated Electrons Mathematical Physics Quantum Algebra Quantum Physics |
| url | https://arxiv.org/abs/2602.16770 |