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Journal Article | PUBDB-2024-04946 |
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2024
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Please use a persistent id in citations: doi:10.1007/JHEP05(2024)027 doi:10.3204/PUBDB-2024-04946
Report No.: DESY-23-141; arXiv:2401.06818
Abstract: For QFTs in AdS the boundary correlation functions remain conformal even if the bulk theory has a scale. This allows one to constrain RG flows with numerical conformal bootstrap methods. We apply this idea to flows between two-dimensional CFTs, focusing on deformations of the tricritical and ordinary Ising model. We provide non-perturbative constraints for the boundary correlation functions of these flows and compare them with conformal perturbation theory in the vicinity of the fixed points. We also reproduce a completely general constraint on the sign of the $T\overline{T }$ deformation in two dimensions.
Keyword(s): dimension: 2 ; renormalization group: flow ; model: minimal ; bootstrap: conformal ; field theory: conformal ; deformation ; correlation function ; fixed point ; Ising model ; anti-de Sitter ; perturbation theory ; nonperturbative ; Boundary Quantum Field Theory ; Conformal and W Symmetry ; Renormalization Group
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A bootstrap study of minimal model deformations
[10.3204/PUBDB-2023-05857]
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