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

Nikolay Bobev, Davide Cassani, Hagen Triendl
2018 Journal of High Energy Physics  
We study holographic renormalization group flows from four-dimensional N=2 SCFTs to either N=2 or 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 AdS_5 vacua. We show that a holographic RG flow connecting two 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
more » ... 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 N=2 to 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 Poincare supercharges in half-maximal supergravity.
doi:10.1007/jhep06(2018)086 fatcat:jun5zggvjnfbviyqixsns7fuvq