Local CFTs lie at the extrema of the sphere free energy tilde F for nonlocal CFT lines, and maximize it when unitary.
Pannell, William Patrick Ronayne and Andreas Stergiou,Gradient RG Flow in Scalar-Fermion QFTs, [arXiv:2511.01971pdf], [Inspire]
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.
RG flow in long-range φ⁴ theories obeys gradient structure ∂_I A = G_IJ β^J up to three loops, with A matching F-tilde and G matching C_IJ 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
RG flow in long-range φ⁴ theories obeys gradient structure ∂_I A = G_IJ β^J up to three loops, with A matching F-tilde and G matching C_IJ at leading nontrivial order.