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.
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Acknowledgments
We would like to thank C. Behan, C. Bercini, M. Billo, A. Cavaglia, M. Costa, L. Di Pietro, A. Gimenez-Grau, M. Hogervorst, A. Kaviraj, P. Liendo, A. Manenti, M. Meineri, M. Milam, M. Paulos, J. Penedones, V. Schomerus, A. Tilloy, E. Trevisani, and P. van Vliet for discussions. We also thank V. Fofana and Y. Fitamant for assistance in the use of the Cholesky cluster at the Ecole Polytechnique. AA thanks the University of Turin, where part of this work was presented, for hospitality. AA received funding from the German Research Foundation DFG under Germany’s Excellence Strategy – EXC 2121 Quantum Universe – 390833306. Centro de Fisica do Porto is partially funded by Fundacao para a Ciencia e Tecnologia (FCT) under the grant UID04650-FCUP. BvR is supported by the Simons Foundation grant #488659 (Simons Collaboration on the non-perturbative bootstrap). This project is funded by the European Union: for EL by ERC “QFT.zip” with Project ID 101040260 (held by A. Tilloy) and for BvR by ERC “QFTinAdS” with Project ID 101087025. Views and opinions expressed are however those of the author(s) only and do not necessarily reflect those of the European Union or the European Research Council Executive Agency. Neither the European Union nor the granting authority can be held responsible for them.
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Antunes, A., Lauria, E. & van Rees, B.C. A bootstrap study of minimal model deformations. J. High Energ. Phys. 2024, 27 (2024). https://doi.org/10.1007/JHEP05(2024)027
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DOI: https://doi.org/10.1007/JHEP05(2024)027