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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Bobev, N., Cassani, D. & Triendl, H. Holographic RG flows for four-dimensional \( \mathcal{N}=2 \) SCFTs. J. High Energ. Phys. 2018, 86 (2018). https://doi.org/10.1007/JHEP06(2018)086
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DOI: https://doi.org/10.1007/JHEP06(2018)086