Work

Finding CFTs from spatial positivity of partition functions

Year: 2026

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2610.30234

Authors: Buisine, Léo, Casini, Horacio, Martinek, Leandro

Institutions: Centre National de la Recherche Scientifique, Laboratoire de Physique Théorique et Hautes Energies, Sorbonne Université, Université Pierre-et-Marie-Curie, Balseiro Institute, Bariloche Atomic Centre

Language: English

Topic: Black Holes and Theoretical Physics

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funders: Comisión Nacional de Energía Atómica, Gobierno de Argentina, Consejo Nacional de Investigaciones Científicas y Técnicas, Universidad Nacional de Cuyo, Instituto Balseiro, Universidad Nacional de Cuyo

OpenAlex ID: W7223316412

Cites: 36

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Related to: 10