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Gravity Multiplet on KS and BB Backgrounds
High Energy Physics - Theory · Submitted 24 Oct 2007
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We show that the glueball spectra grow as m^2 ~ Un^2 for large values of the baryonic branch parameter U.
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The abstract, sentence by sentence
In this paper we study the spectra of glueballs on the Klebanov-Strassler background and its extension to the baryonic branch. We numerically calculate the mass spectrum of glueballs from the spin 2 ``gravity'' multiplet, which contains the traceless part of the stress-energy tensor and the transverse part of the U(1) R-current. The mass spectra of the corresponding fluctuations in supergravity coincide due to supersymmetry, which is manifest in the effective five-dimensional theory through a Supersymmetric Quantum Mechanics transformation. We show that the glueball spectra grow as m^2 ~ Un^2 for large values of the baryonic branch parameter U.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | In this paper we study the spectra of glueballs on the Klebanov-Strassler background and its extension to the baryonic branch. | contribution 0.93 | 0.84 | 0.04 | asserted 0.81 |
| s1 | We numerically calculate the mass spectrum of glueballs from the spin 2 ``gravity'' multiplet, which contains the traceless part of the stress-energy tensor and the transverse part of the U(1) R-current. | contribution 0.57 | 0.96 | 0.07 | asserted 1.00 |
| s2 | The mass spectra of the corresponding fluctuations in supergravity coincide due to supersymmetry, which is manifest in the effective five-dimensional theory through a Supersymmetric Quantum Mechanics transformation. | interpretation 0.56 | 0.42 | 0.11 | asserted 1.00 |
| s3 | We show that the glueball spectra grow as m^2 ~ Un^2 for large values of the baryonic branch parameter U. | result 1.00 | 0.94 | 0.63 | asserted 1.00 |
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The paper
Original abstract
In this paper we study the spectra of glueballs on the Klebanov-Strassler background and its extension to the baryonic branch. We numerically calculate the mass spectrum of glueballs from the spin 2 ``gravity'' multiplet, which contains the traceless part of the stress-energy tensor and the transverse part of the U(1) R-current. The mass spectra of the corresponding fluctuations in supergravity coincide due to supersymmetry, which is manifest in the effective five-dimensional theory through a Supersymmetric Quantum Mechanics transformation. We show that the glueball spectra grow as m^2 ~ Un^2 for large values of the baryonic branch parameter U.
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References
How the literature uses it
16 arXiv papers cite this in 28 sentences
Papers citing it · 13 sentences without a confident label
Uses its data or values 1 paper
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Here $0^++$ and $1^++$ denote the lightest glueballs with the corresponding quantum numbers and we have used the results on the KS glueballs from [ref] .
Attractive Holographic Baryons · Introduction and overview · 0.89
Compares with it 2 papers
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The main results that emerge are the following. * Scalar and tensor spectra agree with the KS case for small $α$ [ref] , and show evidence of deconstruction at the non-perturbative level: at large $α$, part of the spectrum consists of a dense sequence of states, above the continuum thresholds of the CVMN case ($α→+∞$) [ref] . * The spectrum of scalars contains one state the mass of which is suppressed going to large $α$.
Calculable mass hierarchies and a light dilaton from gravity duals · The baryonic branch of KS: gravity · 0.85
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Namely, in the KS case it is known that the spectrum is discrete, and has been studied in detail [ref] , while in the CVMN case the spectrum has no discrete (bound) states, but exhibits a mass gap, beyond which a continuum appears [ref] .
Glueballs on the Baryonic Branch of Klebanov-Strassler: dimensional deconstruction and a light scalar particle · The baryonic branch · 0.89
Cites it as background 11 papers
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In the last years a series of works [ref] have used the KS theory to estimate the behavior of masses of the glueballs for pure $𝒩=1$ theory.
Glueballs in the Klebanov-Strassler Theory: Pseudoscalars vs Scalars · Introduction · 0.97
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The spectrum of singlet fluctuations of the Klebanov-Strassler background was studied in a series of papers including [ref] .
Spectrum of Large N Glueballs: Holography vs Lattice · Introduction · 0.98
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The glueball spectrum of Klebanov-Strassler was computed in [ref] (see also [ref] ).
Light scalar from deformations of the Klebanov-Strassler background · Warm-up: Klebanov-Strassler · 0.92
What it cites · 37 sentences without a confident label
Builds on 1 paper
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Its generalization to the baryonic branch ([ref]) is found by matching it to the equation ([ref]) derived in the five-dimensional approach in [ref] .
Anatomy of Two Holographic Renormalization Group Flows · Discussion · 0.87
Uses the method or tool of 2 papers
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Using the transformations of the effective $=2$ supergravity of [ref] one can transform the graviton $h_μν$ into its superpartner – vector field $B̂_μ$.
Anatomy of Two Holographic Renormalization Group Flows · Supersymmetry and 5d Approach · 0.90
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Indeed, the WKB approach, applied in [ref] , gives ∫_0^t^* ṭ . √(-V_2(t)) |_ k^2=-m^2_n=3/4 π+(n-1)π, where $V_2(t^*)=0$.
A two point function in a cascading N=1 gauge theory from supergravity · Numerical Analysis · 0.84
Compares with 7 papers
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The eigenvalues match with those obtained by Krasnitz [ref] with the WKB approximation.
A two point function in a cascading N=1 gauge theory from supergravity · Numerical Analysis · 1.00
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This is consistent with the approximation of [ref] , where the eigenvalues were matched to zeroes of the Bessel functions, ubiquitous in the conical geometry.
The Shape of Gravity in a Warped Deformed Conifold · Numerical Analysis · 0.80
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We show that this equation is the same as discovered by [ref] in the five-dimensional approach.
Anatomy of Two Holographic Renormalization Group Flows · Introduction · 0.95
Cites as background 10 papers
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The branch is parameterized by the vevs of the baryonic operators in the dual gauge theory [ref] .
Symmetry Breaking and Axionic Strings in the Warped Deformed Conifold · Introduction · 0.94
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The branch is parameterized by the vevs of the baryonic operators in the dual gauge theory [ref] .
Baryonic Condensates on the Conifold · Introduction · 0.94
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Recall that the KS solution corresponds to a manifold that is locally a product of the Minkowski space-time and the six dimensional deformed conifold [ref] , ṣ_KS^2 = h^-1/2(t)η_μνx̣^μx̣^ν+ h^1/2(t)ṣ_6^2, where $h(t)$ is the warp factor that depends on the radial coordinate $t$ of the conifold, related to the standard conical radial coordinate $r$ via $t ∼ 3logr$. $$ transformations act as rotations along the conifold base $T^1,1$, [equation] where $ψ$ is one of the angles on the base.[One can think of $T^1,1$ as of the space $S^3×S^3/U(1)≃S^3×S^2$.
Supergravity and a Confining Gauge Theory: Duality Cascades and $\chi$SB-Resolution of Naked Singularities · Multiplets and Anomalies in the Dual Theory · 0.99
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