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.

arXiv comment25 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

References in corpus (42)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Lecture Notes on Holographic Renormalization
• AdS/CFT Correspondence and Symmetry Breaking
• Exact Results for Wilson Loops in Superconformal Chern-Simons Theories with Matter
• Towards the F-Theorem: N=2 Field Theories on the Three-Sphere
• The Exact Superconformal R-Symmetry Extremizes Z
• Superconformal Chern-Simons Theories and AdS_4/CFT_3 Correspondence
• Notes on SUSY Gauge Theories on Three-Sphere
• Notes on Superconformal Chern-Simons-Matter Theories
• Superconformal Chern-Simons Theories
• More Dual Fluxes and Moduli Fixing
• Evidence for a family of SO(8) gauged supergravity theories
• The string origin of dyonic $\mathcal{N}=8$ supergravity and its simple Chern-Simons duals
• Magnetic charges in local field theory
• The Holography of F-maximization
• An N = 2 Supersymmetric Membrane Flow
• AdS_4/CFT_3 -- Squashed, Stretched and Warped
• Dyonic ISO(7) supergravity and the duality hierarchy
• Flux algebra, Bianchi identities and Freed-Witten anomalies in F-theory compactifications
• All G_2 invariant critical points of maximal supergravity
• The N>2 supersymmetric AdS vacua in maximal supergravity
• U-dual fluxes and Generalized Geometry
• Three-Dimensional SCFTs, Supersymmetric Domain Wall and Renormalization Group Flow
• Holographic, N=1 Supersymmetric RG Flows on M2 Branes
• Mass-deformed ABJM and Black Holes in AdS${}_4$
• How to halve maximal supergravity
• D2-brane Chern-Simons theories: F-maximization = a-maximization
• Consistent $\mathcal{N}=8$ truncation of massive IIA on $S^6$
• The Stringy Quantum Hall Fluid
• AdS${}_4$ solutions of massive IIA from dyonic ISO(7) supergravity
• Mass Deformations of the ABJM Theory: The Holographic Free Energy
• A new N=1 AdS4 Vacuum of Maximal Supergravity
• An $\mathcal{N}=3$ Solution in Dyonic ISO(7) Gauged Maximal Supergravity and Its Uplift to Massive Type IIA
• Romans-mass-driven flows on the D2-brane
• Spectrum universality properties of holographic Chern-Simons theories
• Evidence for the Holographic dual of $\mathcal{N}=3$ Solution in Massive Type IIA
• CSO${}_c$ superpotentials
• The geometry of $\mathcal{N}=3$ AdS${}_4$ in massive IIA
• Penrose limits and spin chains in the GJV/CS-SYM duality
• Minimal $D=4$ truncations of type IIA
• Halving ISO(7) supergravity
• A D2-brane realization of Maxwell-Chern-Simons-Higgs systems

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• Stable non-supersymmetric Anti-de Sitter vacua of massive IIA supergravity
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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
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