Journal of High Energy Physics (J. High Energy Phys.) (20240101), no.~3, Paper No 5, 69~pp. ISSN: 1126-6708 (print).eISSN: 1029-8479.
Subject
81 Quantum theory -- 81T Quantum field theory; related classical field theories 81T17 Renormalization group methods 81T40 Two-dimensional field theories, conformal field theories, etc.
Summary: ``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.''