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Article Dans Une Revue Journal of High Energy Physics Année : 2024

Perturbative RG flows in AdS: an étude

Résumé

We discuss general properties of perturbative RG flows in AdS with a focus on the treatment of boundary conditions and infrared divergences. In contrast with flat-space boundary QFT, general covariance in AdS implies the absence of independent boundary flows. We illustrate how boundary correlation functions remain conformally covariant even if the bulk QFT has a scale. We apply our general discussion to the RG flow between consecutive unitary diagonal minimal models which is triggered by the $\phi_{(1,3)}$ operator. For these theories we conjecture a flow diagram whose form is significantly simpler than that in flat-space boundary QFT. In several stand-alone appendices we discuss two-dimensional BCFTs in general and the minimal model BCFTs in particular. These include both an extensive review as well as the computation of several new BCFT correlation functions.

Dates et versions

hal-04228539 , version 1 (04-10-2023)

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Citer

Edoardo Lauria, Michael Milam, Balt C van Rees. Perturbative RG flows in AdS: an étude. Journal of High Energy Physics, 2024, 03, pp.005. ⟨10.1007/JHEP03(2024)005⟩. ⟨hal-04228539⟩
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