A bootstrap study of minimal model deformations

António Antunes; Edoardo Lauria; Balt C. van Rees

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arXiv · 2401.06818

A bootstrap study of minimal model deformations

António Antunes·Edoardo Lauria·Balt C. van Rees

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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.

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António Antunes, Edoardo Lauria, Balt C. van Rees. 2024-01-11. A bootstrap study of minimal model deformations. https://arxiv.org/abs/2401.06818

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