The large-N O(N) universality class is conformally invariant at criticality, established by functional and vertex-by-vertex proofs in the NPRG framework.
Polchinski, Scale and conformal invariance in quantum field theory, Nuclear Physics B303, 226 (1988)
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Ground-state expectation values of slow-momentum observables in QFTs can be approximated by averages over the critical fixed-point theories via fidelity-based hyperscaling relations.
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Conformal Invariance of the large-$N$ limit of the $O(N)$ universality class
The large-N O(N) universality class is conformally invariant at criticality, established by functional and vertex-by-vertex proofs in the NPRG framework.
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Hyperscaling of Fidelity and Operator Estimations in the Critical Manifold
Ground-state expectation values of slow-momentum observables in QFTs can be approximated by averages over the critical fixed-point theories via fidelity-based hyperscaling relations.