# Holographic RG flows for four-dimensional $$\mathcal{N}=2$$ SCFTs

Journal of High Energy Physics, Jun 2018

Abstract We study holographic renormalization group flows from four-dimensional $$\mathcal{N}=2$$ SCFTs to either $$\mathcal{N}=2$$ or $$\mathcal{N}=1$$ SCFTs. Our approach is based on the framework of five-dimensional half-maximal supergravity with general gauging, which we use to study domain wall solutions interpolating between different supersymmetric AdS5 vacua. We show that a holographic RG flow connecting two $$\mathcal{N}=2$$ SCFTs is only possible if the flavor symmetry of the UV theory admits an SO(3) subgroup. In this case the ratio of the IR and UV central charges satisfies a universal relation which we also establish in field theory. In addition we provide several general examples of holographic flows from $$\mathcal{N}=2$$ to $$\mathcal{N}=1$$ SCFTs and relate the ratio of the UV and IR central charges to the conformal dimension of the operator triggering the flow. Instrumental to our analysis is a derivation of the general conditions for AdS vacua preserving eight supercharges as well as for domain wall solutions preserving eight Poincaré supercharges in half-maximal supergravity.

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Nikolay Bobev, Davide Cassani, Hagen Triendl. Holographic RG flows for four-dimensional $$\mathcal{N}=2$$ SCFTs, Journal of High Energy Physics, 2018, 86, DOI: 10.1007/JHEP06(2018)086