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PreprintarXiv licencearXiv

Finding CFTs from spatial positivity of partition functions

  • Léo Buisine
  • Horacio Casini
  • Leandro Martinek
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Abstract

We discuss a positivity property for partition functions that generalizes modular invariance and which is here conjectured to hold for general 2D CFTs. We show its relation to positivity properties of Rényi entropies and its meaning in terms of topological defect lines. We apply the conjecture to find consistent local unitary CFT models which are not necessarily modular invariant.

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Cite

BibTeXRIS
BibTeX
@misc{buisine2026finding,
  title = {{Finding CFTs from spatial positivity of partition functions}},
  author = {Léo Buisine and Horacio Casini and Leandro Martinek},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.30234},
  eprint = {2610.30234},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.30234},
}
RIS
TY  - UNPB
TI  - Finding CFTs from spatial positivity of partition functions
AU  - Léo Buisine
AU  - Horacio Casini
AU  - Leandro Martinek
PY  - 2026
DA  - 2026/10/21
PB  - arXiv
DO  - 10.48550/arxiv.2610.30234
UR  - https://arxiv.org/abs/2610.30234
AB  - We discuss a positivity property for partition functions that generalizes modular invariance and which is here conjectured to hold for general 2D CFTs. We show its relation to positivity properties of Rényi entropies and its meaning in terms of topological defect lines. We apply the conjecture to find consistent local unitary CFT models which are not necessarily modular invariant.
ER  -