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Marginal deformations and the Higgs phenomenon in higher spin AdS_3 holography
High Energy Physics - Theory · Submitted 12 Mar 2015
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim In the bulk theory, the symmetry breaking will generate mass for the higher spin fields.
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The abstract, sentence by sentence
Recently, a 2d coset model with N=3 superconformal symmetry was proposed to be holographic dual to a higher spin supergravity on AdS_3 and the relation to superstring theory was discussed. However, away from the tensionless limit, there is no higher spin symmetry and the higher spin states are massive. In this paper, we examine the deformations of the coset model which preserve N=3 superconformal symmetry, but break generic higher spin symmetry. We focus on double-trace type deformations which are dual to changes of boundary conditions for the bulk matter fields. In the bulk theory, the symmetry breaking will generate mass for the higher spin fields. As a concrete example, we compute the Higgs mass of a spin 2 field both from the bulk and the boundary theory.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | Recently, a 2d coset model with N=3 superconformal symmetry was proposed to be holographic dual to a higher spin supergravity on AdS_3 and the relation to superstring theory was discussed. | background 1.00 | 0.06 | 0.04 | asserted 0.61 |
| s1 | However, away from the tensionless limit, there is no higher spin symmetry and the higher spin states are massive. | background 0.87 | 0.09 | 0.05 | asserted 1.00 |
| s2 | In this paper, we examine the deformations of the coset model which preserve N=3 superconformal symmetry, but break generic higher spin symmetry. | contribution 1.00 | 0.77 | 0.11 | asserted 0.95 |
| s3 | We focus on double-trace type deformations which are dual to changes of boundary conditions for the bulk matter fields. | method 0.60 | 0.58 | 0.06 | asserted 0.99 |
| s4 | In the bulk theory, the symmetry breaking will generate mass for the higher spin fields. | interpretation 0.57 | 0.27 | 0.22 | asserted 0.98 |
| s5 | As a concrete example, we compute the Higgs mass of a spin 2 field both from the bulk and the boundary theory. | contribution 0.52 | 0.96 | 0.29 | asserted 1.00 |
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The paper
Original abstract
Recently, a 2d coset model with N=3 superconformal symmetry was proposed to be holographic dual to a higher spin supergravity on AdS_3 and the relation to superstring theory was discussed. However, away from the tensionless limit, there is no higher spin symmetry and the higher spin states are massive. In this paper, we examine the deformations of the coset model which preserve N=3 superconformal symmetry, but break generic higher spin symmetry. We focus on double-trace type deformations which are dual to changes of boundary conditions for the bulk matter fields. In the bulk theory, the symmetry breaking will generate mass for the higher spin fields. As a concrete example, we compute the Higgs mass of a spin 2 field both from the bulk and the boundary theory.
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References
How the literature uses it
20 arXiv papers cite this in 34 sentences
Papers citing it · 25 sentences without a confident label
Uses its method or tool 1 paper
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We apply the method developed in [ref] for lower dimensional dualities, where related works may be found in [ref] .
The masses of higher spin fields on AdS_4 and conformal perturbation theory · Introduction · 0.93
Cites it as background 6 papers
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Symmetry breaking for higher spin gauge theory on AdS$_3$ has been studied in [ref] , but more detailed analysis would be required to say more concretely.
Marginal deformations of 3d supersymmetric U(N) model and broken higher spin symmetry · Conclusion and discussions · 0.92
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For the $N=3$ holography [ref] , the deformation breaks the higher spin symmetry and induces the mass to the higher spin fields [ref] .
Higher Spin Currents in the Enhanced N=3 Kazama-Suzuki Model · Introduction · 0.90
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Related previous works may be found in [ref] .] The $1/N$ corrections (or $1/c$ corrections with $c$ as the central charge) in the minimal model should be interpreted as loop corrections in the bulk gravity description.
Correlators in higher spin AdS_3 holography from Wilson lines with loop corrections · Introduction · 0.98
What it cites · 83 sentences without a confident label
Builds on 10 papers
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Finally, in appendix [ref] we review the results for scalar loops in [ref] and extend them to include the case with fermion loops.
The CFT/AdS correspondence, massive gravitons and a connectivity index conjecture · Introduction · 0.98
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Finally, in appendix [ref] we review the results for scalar loops in [ref] and extend them to include the case with fermion loops.
Product CFTs, gravitational cloning, massive gravitons and the space of gravitational duals · Introduction · 0.98
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We start to compute the explicit expressions for the propagators by generalizing the analysis in [ref] for the case with generic $d$.
Complementarity of the Maldacena and Karch-Randall Pictures · The Higgs mass of spin 2 gauge field · 0.99
Uses the method or tool of 14 papers
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As in appendix A of [ref] (and section 2 of [ref] for $s=2$) we have [equation] Since the RHS of [ref] leads to [equation] we can obtain $Δ$ by equating the above two equations.
Constraining conformal field theories with a slightly broken higher spin symmetry · Higgs mass from the dual CFT · 0.95
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As in appendix A of [ref] (and section 2 of [ref] for $s=2$) we have [equation] Since the RHS of [ref] leads to [equation] we can obtain $Δ$ by equating the above two equations.
The CFT/AdS correspondence, massive gravitons and a connectivity index conjecture · Higgs mass from the dual CFT · 0.95
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As discussed in [ref] , the generated mass can be read off from the two-point function of bulk energy momentum tensors $T̂^±_μν = (T̂^(1)_μν ±T̂^(2)_μν )/√(2)$; [equation] The bulk energy momentum tensor $T̂^(i)_μν$ is written in terms of bilinears of $ϕ^(i)$ as in [ref], and the two-point function $⟨T̂^(i)_μν (x) T̂^(j) _μ' ν' (y) ⟩$ can be computed by using propagators [equation] in [ref].
Complementarity of the Maldacena and Karch-Randall Pictures · Setup and prescription · 0.81
Compares with 1 paper
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For $d=3$ we reproduce the results in appendix B of [ref] .
Complementarity of the Maldacena and Karch-Randall Pictures · Coordinate system and bi-tensors · 0.97
Cites as support 2 papers
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The most important property of this model is that it admits $N=3$ superconformal symmetry as we found in [ref] .
Higher spin AdS_3 holography with extended supersymmetry · Introduction · 0.97
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Actually it was shown that the deformation preserves conformal symmetry to all order of the perturbation (i.e. the deformation is exactly marginal) [ref] , see also appendix A of [ref] .
The Search for a Holographic Dual to AdS(3)xS(3)xS(3)xS(1) · Marginal deformations preserving $𝒩=3$ algebra · 0.98
Cites as background 12 papers
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In [ref] a higher spin AdS/CFT duality was proposed involving the $𝒩=2$ supersymmetric version of Prokushkin-Vasiliev theory with $M ' ×M '$ matrix valued fields introduced in [ref] .
Extended higher spin holography and Grassmannian models · Higher spin gauge theory · 0.94
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In [ref] a higher spin AdS/CFT duality was proposed involving the $𝒩=2$ supersymmetric version of Prokushkin-Vasiliev theory with $M ' ×M '$ matrix valued fields introduced in [ref] .
Higher-Spin Gauge Interactions for Massive Matter Fields in 3D AdS Space-Time · Higher spin gauge theory · 0.94
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In appendix [ref] we review the holographic interpretation of the double-trace deformations of a CFT following mainly [ref] .
Double-trace deformations, holography and the c-conjecture · Introduction · 0.92
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