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arXiv · 2309.10031

Perturbative RG flows in AdS: an \'etude

Edoardo Lauria·Michael N. Milam·Balt C. van Rees
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Abstract

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.

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Edoardo Lauria, Michael N. Milam, Balt C. van Rees. 2023-09-18. Perturbative RG flows in AdS: an \'etude. https://arxiv.org/abs/2309.10031

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