A bootstrap study of minimal model deformations
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866909167213608960 |
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| author | Antunes, António Lauria, Edoardo van Rees, Balt C. |
| author_facet | Antunes, António Lauria, Edoardo van Rees, Balt C. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_06818 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A bootstrap study of minimal model deformations Antunes, António Lauria, Edoardo van Rees, Balt C. High Energy Physics - Theory Strongly Correlated Electrons 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. |
| title | A bootstrap study of minimal model deformations |
| topic | High Energy Physics - Theory Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2401.06818 |