Local CFTs lie at the extrema of the sphere free energy tilde F for nonlocal CFT lines, and maximize it when unitary.
The tricritical Ising CFT and conformal bootstrap
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Six-loop beta-function graphs for general ϕ⁶ theory in 3d are recalculated (differing from Hager, agreeing with recent work), with large-N eight-loop results, O(ε³) exponents, and gradient-flow linear relations.
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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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$\phi^6$ at $6$ (and some $8$) loops in $3d$
Six-loop beta-function graphs for general ϕ⁶ theory in 3d are recalculated (differing from Hager, agreeing with recent work), with large-N eight-loop results, O(ε³) exponents, and gradient-flow linear relations.