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A bootstrap study of minimal model deformations

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arxiv 2401.06818 v2 pith:NJJE7A2C submitted 2024-01-11 hep-th cond-mat.str-el

António Antunes , Edoardo Lauria , Balt C. van Rees This is my paper · ORCID
classification hep-thcond-mat.str-el
keywords conformalflowsbootstrapboundarycorrelationdeformationsfunctionsmodel
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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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Cited by 2 Pith papers

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  1. QFT as a set of ODEs: higher dimensions

    hep-th 2026-06 unverdicted novelty 7.0 of 10

    The authors generalize the AdS₂ flow equations for QFT data to AdS₃ and AdS₄, add crossing-based closure and Padé-accelerated sums, and verify them in free theories.

  2. Neumann scalars in AdS: partition functions and phases

    hep-th 2026-07 conditional novelty 6.0 of 10

    Neumann scalars in AdS admit one-loop partition functions obtained by contour deformation from the Dirichlet result; the stricter unitarity bound then yields qualitatively different phase diagrams that are corroborate...

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