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Preprint | PUBDB-2023-05857 |
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2023
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Please use a persistent id in citations: doi:10.3204/PUBDB-2023-05857
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 $T\bar T$ 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 ; field theory ; nonperturbative
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Journal Article
A bootstrap study of minimal model deformations
Journal of high energy physics 2024(5), 27 (2024) [10.1007/JHEP05(2024)027]
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