Bounds on CFT correlations from the thermal partition function

Fikret Ceyhan; Thomas Faulkner

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arXiv · 2510.24042

Bounds on CFT correlations from the thermal partition function

Fikret Ceyhan·Thomas Faulkner

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Abstract

We discuss upper bounds on the mutual information for disjoint spherical regions of the CFT vacuum. To prove our bounds, we utilize the modular nuclearity condition, which is in turn related to finiteness of the thermal partition function of the CFT. Our bounds are satisfied by the conjectured geometric duals of these correlation measures in AdS/CFT, where they link the Hawking-Page phase transition with the entanglement wedge phase transition. We use these results to conjecture a new boundary theory quantity that computes the minimal distance between two general entanglement wedges.

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Fikret Ceyhan, Thomas Faulkner. 2025-10-28. Bounds on CFT correlations from the thermal partition function. https://arxiv.org/abs/2510.24042

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