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PreprintCC BY 4.0arXiv

Entanglement entropy in topological tensor networks

  • Vijay Balasubramanian
  • Charlie Cummings
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Abstract

We derive an entropy formula for recently proposed tensor network models which prepare diffeomorphism invariant states of topological quantum field theories with non-compact and/or continuous gauge groups. We show that our entropy formula generalizes the notion of ``topological entanglement entropy'' to incorporate the infinite number of particle-like excitations in such theories. When our networks are endowed with gauge group SL(2,ℝ), we can interpret them as models of three-dimensional gravity with small Newton's constant and possibly non-invertible metrics.

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Cite

BibTeXRIS
BibTeX
@misc{balasubramanian2026entanglement,
  title = {{Entanglement entropy in topological tensor networks}},
  author = {Vijay Balasubramanian and Charlie Cummings},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.10667},
  eprint = {2609.10667},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.10667},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Entanglement entropy in topological tensor networks
AU  - Vijay Balasubramanian
AU  - Charlie Cummings
PY  - 2026
DA  - 2026/09/09
PB  - arXiv
DO  - 10.48550/arxiv.2609.10667
UR  - https://arxiv.org/abs/2609.10667
AB  - We derive an entropy formula for recently proposed tensor network models which prepare diffeomorphism invariant states of topological quantum field theories with non-compact and/or continuous gauge groups. We show that our entropy formula generalizes the notion of ``topological entanglement entropy'' to incorporate the infinite number of particle-like excitations in such theories. When our networks are endowed with gauge group SL(2,ℝ), we can interpret them as models of three-dimensional gravity with small Newton's constant and possibly non-invertible metrics.
ER  -