Holographic RG Flows for Four-dimensional $\mathcal{N}=2$ SCFTs

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 AdS${}_5$ 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 $\mathrm{SO}(3)$ 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 Poincare supercharges in half-maximal supergravity.

42 pages; v2: published version

References in corpus (10)

• Four-Dimensional SCFTs from M5-Branes
• Gauged N=4 supergravities
• A holographic computation of the central charges of d=4, N=2 SCFTs
• RG Flows and Bifurcations
• Universal RG Flows Across Dimensions and Holography
• 27/32
• Maximally Supersymmetric AdS4 Vacua in N=4 Supergravity
• Comments on a-maximization from gauged supergravity
• Supersymmetric $Ad{S}_6$ vacua in six-dimensional $N=(1,1)$ gauged supergravity
• Maximally Supersymmetric AdS Solutions and their Moduli Spaces

Cited by in corpus (11)

• Systematics of consistent truncations from generalised geometry
• AdS${}_5$ Holography and Higher-Derivative Supergravity
• Consistent KK truncations for M5-branes wrapped on Riemann surfaces
• Consistent truncations of supergravity and $\frac{1}{2}$-BPS RG flows in $4d$ SCFTs
• Holographic duals of 6d RG flows
• Holographic RG flows and $Ad{S}_5$ black strings from 5D half-maximal gauged supergravity
• Holographic RG flows and Janus solutions from matter-coupled N=4 gauged supergravity
• AdS5 vacua and holographic RG flows from 5D N=4 gauged supergravity
• New supersymmetric $Ad{S}_5$ black strings from 5D $N=4$ gauged supergravity
• Janus and RG-flow interfaces from 5D N=4 gauged supergravity
• Holographic solutions from 5D $SO(2)\times ISO(3)$ $N=4$ gauged supergravity