Local CFTs lie at the extrema of the sphere free energy tilde F for nonlocal CFT lines, and maximize it when unitary.
Gradient RG Flow in Scalar-Fermion QFTs
3 Pith papers cite this work. Polarity classification is still indexing.
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Classification and discovery of new fixed points for coupled minimal models with reduced symmetries from subgroups of S_N, including rigorous proofs for even N and examples with PSL_2(N) and Mathieu groups.
Long-range φ⁴ theories have RG beta functions that satisfy a gradient flow with A matching the sphere free energy F̃ at leading nontrivial order.
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Local CFTs extremise $F$
Local CFTs lie at the extrema of the sphere free energy tilde F for nonlocal CFT lines, and maximize it when unitary.
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Taxonomy of coupled minimal models from finite groups
Classification and discovery of new fixed points for coupled minimal models with reduced symmetries from subgroups of S_N, including rigorous proofs for even N and examples with PSL_2(N) and Mathieu groups.
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Matching $A$ with $F$ in long-range QFTs
Long-range φ⁴ theories have RG beta functions that satisfy a gradient flow with A matching the sphere free energy F̃ at leading nontrivial order.