Defect-induced symmetry breaking viewed from the AdS bulk enforces protected displacement and tilt operators in non-local boundary CFTs via Ward identities.
O(N) models with boundary interactions and their long range generalizations
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Local CFTs lie at the extrema of the sphere free energy tilde F for nonlocal CFT lines, and maximize it when unitary.
A reduced-dimension model places bosons in (d+1) dimensions and fermions in d dimensions to make perturbative RG analysis of NFL physics more tractable by taming logarithmic and higher divergences.
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.
Large-N saddle-point calculation confirms the Lukyanov-Zamolodchikov conjecture for boundary free energy in the spherical brane model to O(1/N) and connects it to the RG running of the coupling g.
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Protected operators in non-local defect CFTs from AdS
Defect-induced symmetry breaking viewed from the AdS bulk enforces protected displacement and tilt operators in non-local boundary CFTs via Ward identities.
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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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Reduce dimensional quantum criticality for Non-Fermi liquids
A reduced-dimension model places bosons in (d+1) dimensions and fermions in d dimensions to make perturbative RG analysis of NFL physics more tractable by taming logarithmic and higher divergences.
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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.
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Integrable Spherical Brane Model at Large $N$
Large-N saddle-point calculation confirms the Lukyanov-Zamolodchikov conjecture for boundary free energy in the spherical brane model to O(1/N) and connects it to the RG running of the coupling g.