Flowing to $\mathcal{N}=3$ Chern--Simons-matter theory

Abstract

New renormalisation group flows of three-dimensional Chern--Simons theories with a single gauge group $\text{SU}(N)$ and adjoint matter are found holographically. These RG flows have an infrared fixed point given by a CFT with $\mathcal{N}=3$ supersymmetry and $\text{SU}(2)$ flavour symmetry. The ultraviolet fixed point is again described by a CFT with either $\mathcal{N}=2$ and $\text{SU}(3)$ symmetry or $\mathcal{N}=1$ and ${\text{G}}_2$ symmetry. The gauge/gravity duals of these RG flows are constructed as domain-wall solutions of a gauged supergravity model in four dimensions that enjoys an embedding into massive IIA supergravity. A concrete RG flow that brings a mass deformation of the $\mathcal{N}=2$ CFT into the $\mathcal{N}=3$ CFT at low energies is described in detail.

25 pages plus appendices, 4 figures and 5 tables. v2. Minor corrections and appendix A extended with a discussion on two new supersymmetric vacua. v3. Published text

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• Brane-jet stability of non-supersymmetric AdS vacua
• S-folds and holographic RG flows on the D3-brane
• Supersymmetric spectroscopy on AdS${}_4\times S^7$ and AdS${}_4\times S^6$
• Super-Chern-Simons spectra from Exceptional Field Theory
• A Cubic Deformation of ABJM: The Squashed, Stretched, Warped, and Perturbed Gets Invaded
• New AdS${}_4$ Vacua in Dyonic ISO(7) Gauged Supergravity
• Janus solutions from dyonic ISO(7) maximal gauged supergravity
• Holographic RG flows and symplectic deformations of N=4 gauged supergravity
• S-folds and $Ad{S}_3$ flows from the D3-brane