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arXiv · 2111.04747

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

Connor Behan·Lorenzo Di Pietro·Edoardo Lauria·Balt C. van Rees
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Abstract

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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Connor Behan, Lorenzo Di Pietro, Edoardo Lauria, Balt C. van Rees. 2022-03-06. Bootstrapping boundary-localized interactions II: Minimal models at the boundary. https://doi.org/10.1007/jhep03(2022)146

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