Finding CFTs from spatial positivity of partition functions
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.
hep-th↗