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Article Dans Une Revue Journal of High Energy Physics Année : 2022

Bootstrapping boundary-localized interactions II. Minimal models at the boundary

Connor Behan
  • Fonction : Auteur
Lorenzo Di Pietro
  • Fonction : Auteur
Balt C. van Rees

Résumé

We provide evidence for the existence of non-trivial unitary conformal boundary conditions for a three-dimensional free scalar field, which can be obtained via a coupling to the m’th unitary diagonal minimal model. For large m we can demonstrate the existence of the fixed point perturbatively, and for smaller values we use the numerical conformal bootstrap to obtain a sharp kink that smoothly matches onto the perturbative predictions. The wider numerical analysis also yields universal bounds for the spectrum of any other boundary condition for the free scalar field. A second kink in these bounds hints at a second class of non-standard boundary conditions, as yet unidentified.
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Dates et versions

hal-03441746 , version 1 (26-02-2024)

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Connor Behan, Lorenzo Di Pietro, Edoardo Lauria, Balt C. van Rees. Bootstrapping boundary-localized interactions II. Minimal models at the boundary. Journal of High Energy Physics, 2022, 2022 (03), pp.146. ⟨10.1007/JHEP03(2022)146⟩. ⟨hal-03441746⟩
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