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Flowing to $\mathcal{N}=3$ Chern--Simons-matter theory
High Energy Physics - Theory · Submitted 15 Oct 2019
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim New renormalisation group flows of three-dimensional Chern--Simons theories with a single gauge group $\textrm{SU}(N)$ and adjoint matter are found holographically.
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The abstract, sentence by sentence
New renormalisation group flows of three-dimensional Chern--Simons theories with a single gauge group $\textrm{SU}(N)$ 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.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | New renormalisation group flows of three-dimensional Chern--Simons theories with a single gauge group $\textrm{SU}(N)$ and adjoint matter are found holographically. | contribution 0.64 | 0.94 | 0.49 | asserted 1.00 |
| s1 | These RG flows have an infrared fixed point given by a CFT with $\mathcal{N}=3$ supersymmetry and $\text{SU}(2)$ flavour symmetry. | result 0.99 | 0.83 | 0.46 | asserted 1.00 |
| s2 | 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. | result 0.99 | 0.77 | 0.16 | asserted 0.98 |
| s3 | 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. | method 0.88 | 0.87 | 0.10 | asserted 1.00 |
| s4 | 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. | contribution 0.81 | 0.91 | 0.19 | asserted 1.00 |
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The paper
Original abstract
New renormalisation group flows of three-dimensional Chern--Simons theories with a single gauge group $\textrm{SU}(N)$ 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.
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References
How the literature uses it
15 arXiv papers cite this in 53 sentences
Papers citing it · 42 sentences without a confident label
Uses its method or tool 2 papers
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For convenience, we record here the relevant uplifting formulae following [ref] .
Brane-jet stability of non-supersymmetric AdS vacua · Uplifting formulae · 0.84
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To achieve this, we first make a truncation as given in [ref] by imposing the following condition [equation] which implies [equation] In this case, the solutions preserve $SO(3)×U(1)$ symmetry in the full $N=8$ gauged supergravity.
Janus solutions from dyonic ISO(7) maximal gauged supergravity · $N=2$ supersymmetric Janus solutions · 0.91
Uses its data or values 1 paper
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The real Kähler potential $K$ and the holomorphic superpotential $W$ for this model can be found in equations (A.8) and (A.9) of [ref] .
Brane-jet stability of non-supersymmetric AdS vacua · All known vacua of $D=4$ $𝒩=8$ ISO(7) supergravity · 0.88
Compares with it 1 paper
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It should be noted that these equations reduce to those of the RG flows studied in [ref] in the limit $ℓ→∞$.
Janus solutions from dyonic ISO(7) maximal gauged supergravity · $N=1$ formulation and BPS equations · 0.96
Cites it as background 3 papers
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The interested reader can find detailed accounts in the early work [ref] , in [ref] for numerical integrations in the $SU(3)$ invariant model [ref], or in [ref] for calculations in other sectors of the $ISO(7)$ maximal supergravity.
Brane-jet stability of non-supersymmetric AdS vacua · (Meta)stability and decay through domain-walls · 0.86
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A number of holographic RG flows within this sector have already been studied in [ref] .
Janus solutions from dyonic ISO(7) maximal gauged supergravity · $N=2$ supersymmetric Janus solutions · 0.82
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This sector has previously been considered in the $ISO(7)$ theory [ref] as well as in the $SO(8)$ theory [ref] .
S-folds and $AdS_{3}$ flows from the D3-brane · The $ℤ_2^3$-invariant truncation · 0.83
What it cites · 110 sentences without a confident label
Builds on 1 paper
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Interestingly, the GY flow can be “glued" to another RG flow connecting the $=1$ CFT with $G_2$ symmetry in the UV to the $=2$ CFT with $SU(3)$ symmetry in the IR, whose holographic dual was already constructed in [ref] .
Romans-mass-driven flows on the D2-brane · Motivation and summary of results · 0.86
Uses the method or tool of 5 papers
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In order to obtain the ten-dimensional geometries, we have particularised the formulae for the consistent truncation [ref] of massive type IIA supergravity [ref] on $S^6$ to the eight-scalar sector of $D=4$ $ISO(7)$ supergravity [ref] that was identified in Section [ref].
The string origin of dyonic ${\cal N}=8$ supergravity and its simple Chern-Simons duals · The flows in ten dimensions · 0.89
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In order to obtain the ten-dimensional geometries, we have particularised the formulae for the consistent truncation [ref] of massive type IIA supergravity [ref] on $S^6$ to the eight-scalar sector of $D=4$ $ISO(7)$ supergravity [ref] that was identified in Section [ref].
Dyonic ISO(7) supergravity and the duality hierarchy · The flows in ten dimensions · 0.89
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In order to obtain the ten-dimensional geometries, we have particularised the formulae for the consistent truncation [ref] of massive type IIA supergravity [ref] on $S^6$ to the eight-scalar sector of $D=4$ $ISO(7)$ supergravity [ref] that was identified in Section [ref].
Consistent ${\cal N}=8$ truncation of massive IIA on $S^6$ · The flows in ten dimensions · 0.89
Compares with 10 papers
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thus reducing to the result of [ref] .
The string origin of dyonic ${\cal N}=8$ supergravity and its simple Chern-Simons duals · Field theory · 0.89
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In that reference the negative modes in the IR are the same ones that appear in the truncation under scrutiny here, and therefore the structure of domain-wall solutions with these fixed points in the IR is the same as in [ref] .
Romans-mass-driven flows on the D2-brane · Modes and dual operators around $AdS_4$ solutions · 0.93
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We have verified that, when evaluated at the $=2$ and $=3$ critical points, equations ([ref]) and ([ref]) reproduce the corresponding expressions for the dilaton and Ramond-Ramond one-form given in [ref] , by making use of the $S^6$ embedding coordinates ([ref]), ([ref]) below.
AdS$_4$ solutions of massive IIA from dyonic ISO(7) supergravity · IIA uplift of the $D=4$ $SO(3)_R$-invariant sector · 0.97
Cites as support 1 paper
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Based on holographic evidence at strong coupling [ref] , we claim that the $=2$ theory with $N_f=3$, which we fix henceforth, and cubic superpotential
The string origin of dyonic ${\cal N}=8$ supergravity and its simple Chern-Simons duals · Field theory · 0.97
Cites as background 10 papers
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Recently, the study of Chern–Simons-matter (CS-matter) theories with a single gauge group $SU(N)$ and matter [ref] in the adjoint representation has become holographically accessible at strong coupling and large $N$.
Superconformal Chern-Simons Theories · Motivation and summary of results · 0.96
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Recently, the study of Chern–Simons-matter (CS-matter) theories with a single gauge group $SU(N)$ and matter [ref] in the adjoint representation has become holographically accessible at strong coupling and large $N$.
Notes on Superconformal Chern-Simons-Matter Theories · Motivation and summary of results · 0.96
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Recall that the reason lies in the existence of two solutions, denoted $Δ_±$, to the equation [ref] [ref] .
AdS/CFT Correspondence and Symmetry Breaking · Modes and dual operators around $AdS_4$ solutions · 0.83
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