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On Normal Modes of a Warped Throat
High Energy Physics - Theory · Submitted 28 Dec 2007
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We argue that each of the massive scalar or pseudoscalar modes we find belongs to a 4-d massive axial vector or vector supermultiplet.
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The abstract, sentence by sentence
As shown in arXiv:hep-th/0405282, the warped deformed conifold has two bosonic massless modes, a pseudoscalar and a scalar, that are dual to the phase and the modulus of the baryonic condensates in the cascading gauge theory. We reconsider the scalar mode sector, mixing fluctuations of the NS-NS 2-form and the metric, and include non-zero 4-d momentum $k_\mu$. The resulting pair of coupled equations produce a discrete spectrum of $m_4^2=- k_\mu^2$ which is interpreted as the spectrum of $J^{PC}= 0^{+-}$ glueballs in the gauge theory. Similarly, we derive the spectrum of certain pseudoscalar glueballs with $J^{PC}= 0^{--}$, which originate from the decoupled fluctuations of the RR 2-form. We argue that each of the massive scalar or pseudoscalar modes we find belongs to a 4-d massive axial vector or vector supermultiplet. We also discuss our results in the context of a finite length throat embedded into a type IIB flux compactification.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | As shown in arXiv:hep-th/0405282, the warped deformed conifold has two bosonic massless modes, a pseudoscalar and a scalar, that are dual to the phase and the modulus of the baryonic condensates in the cascading gauge theory. | background 1.00 | 0.05 | 0.08 | asserted 1.00 |
| s1 | We reconsider the scalar mode sector, mixing fluctuations of the NS-NS 2-form and the metric, and include non-zero 4-d momentum $k_\mu$. | contribution 0.57 | 0.94 | 0.04 | asserted 0.89 |
| s2 | The resulting pair of coupled equations produce a discrete spectrum of $m_4^2=- k_\mu^2$ which is interpreted as the spectrum of $J^{PC}= 0^{+-}$ glueballs in the gauge theory. | result 0.83 | 0.93 | 0.36 | asserted 1.00 |
| s3 | Similarly, we derive the spectrum of certain pseudoscalar glueballs with $J^{PC}= 0^{--}$, which originate from the decoupled fluctuations of the RR 2-form. | result 0.97 | 0.96 | 0.13 | asserted 1.00 |
| s4 | We argue that each of the massive scalar or pseudoscalar modes we find belongs to a 4-d massive axial vector or vector supermultiplet. | interpretation 0.99 | 0.85 | 0.27 | asserted 0.51 |
| s5 | We also discuss our results in the context of a finite length throat embedded into a type IIB flux compactification. | interpretation 0.59 | 0.66 | 0.04 | asserted 0.54 |
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The paper
Original abstract
As shown in arXiv:hep-th/0405282, the warped deformed conifold has two bosonic massless modes, a pseudoscalar and a scalar, that are dual to the phase and the modulus of the baryonic condensates in the cascading gauge theory. We reconsider the scalar mode sector, mixing fluctuations of the NS-NS 2-form and the metric, and include non-zero 4-d momentum $k_\mu$. The resulting pair of coupled equations produce a discrete spectrum of $m_4^2=- k_\mu^2$ which is interpreted as the spectrum of $J^{PC}= 0^{+-}$ glueballs in the gauge theory. Similarly, we derive the spectrum of certain pseudoscalar glueballs with $J^{PC}= 0^{--}$, which originate from the decoupled fluctuations of the RR 2-form. We argue that each of the massive scalar or pseudoscalar modes we find belongs to a 4-d massive axial vector or vector supermultiplet. We also discuss our results in the context of a finite length throat embedded into a type IIB flux compactification.
Human review
How the literature uses it
18 arXiv papers cite this in 61 sentences
Papers citing it · 40 sentences without a confident label
Builds on it 1 paper
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Let us stress that in this case the ansatz for$F_5$simplifies, F_5 = (1+∗) _̣4 H_3 ; which gives a natural generalization of the KT limit ansatz in [ref] to the complete KS background (recall that in the KT limit$H_3∼ø_2$).$
I-odd sector of the Klebanov-Strassler theory · 3-Vector System · 0.98
Uses its method or tool 2 papers
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We derive the equation of motion [ref] for the mode $z̃$ by following the procedure of [ref] , namely by linearizing ten dimensional Einstein equations.
Uplifting the baryonic branch: a test for backreacting anti-D3-branes · Derivation of $V_z̃$ · 1.00
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We follow the conventions of the work [ref] , which uses the following definition of the warp-factor: h(τ) = 4 ·2^2/3 ^-8/3 I() , where I(τ) ≡∫_τ^∞x̣ xx-1/sinh^2 x (sinh(2x) - 2x)^1/3 .
I-odd sector of the Klebanov-Strassler theory · Numerical calculation of spectra · 0.90
Uses its data or values 1 paper
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They were already computed in [ref] .
I-odd sector of the Klebanov-Strassler theory · Numerical calculation of spectra · 0.83
Cites it as support 2 papers
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This picture with three massive vectors dual to $U$, $χ$ and $χ̃$ was supported in [ref] by a calculation in the simplified Klebanov-Tseytlin background.
I-odd sector of the Klebanov-Strassler theory · Introduction · 0.99
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This is likely already the case at tree-level as follows e.g. from the analysis in [ref] .
Tachyons in Throat Cosmology · Conclusions · 0.97
Cites it as background 12 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 latter were studied in [ref] .
I-odd sector of the Klebanov-Strassler theory · General ansatz · 0.85
What it cites · 35 sentences without a confident label
Builds on 1 paper
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Two of them originate from a pair of coupled scalar equations, generalizing the zero momentum case studied in [ref] , and have $J^PC= 0^+-$.
Symmetry Breaking and Axionic Strings in the Warped Deformed Conifold · Introduction · 0.98
Uses the method or tool of 1 paper
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The idea of the calculation (called the determinant method [ref] ) is to set the initial conditions at infinity corresponding to the two solutions regular at infinity, $([c] _1(τ) _1(τ) )$ and $([c] _2(τ) _2(τ) )$, and extend them numerically to small $τ$.
Glueballs vs. Gluinoballs: Fluctuation Spectra in Non-AdS/Non-CFT · Numerical Analysis: Finding the Spectra · 0.98
Uses data or values from 2 papers
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With the ratio between the UV and IR scales of the field theory around $4·10^3$ [ref] we estimate that $τ_UV≃25$ [ref] .
Towards Inflation in String Theory · Effects of Compactification · 0.91
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With the ratio between the UV and IR scales of the field theory around $4·10^3$ [ref] we estimate that $τ_UV≃25$ [ref] .
On the Moduli Space of the Cascading SU(M+p)xSU(p) Gauge Theory · Effects of Compactification · 0.91
Compares with 4 papers
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Therefore, we assign $J^PC=0^+-$ to this family of glueballs.[ For comparison, the glueballs found in [ref] are $0^++$.
Bulk Dynamics in Confining Gauge Theories · Two Coupled Scalars · 0.95
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Therefore, we assign $J^PC=0^+-$ to this family of glueballs.[ For comparison, the glueballs found in [ref] are $0^++$.
Glueballs vs. Gluinoballs: Fluctuation Spectra in Non-AdS/Non-CFT · Two Coupled Scalars · 0.95
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This ansatz is similar to, but somewhat simpler than the GHK pseudoscalar ansatz [ref] which involved mixing with $δF_5$.
Symmetry Breaking and Axionic Strings in the Warped Deformed Conifold · Pseudoscalar Modes from the RR Sector · 0.92
Cites as support 2 papers
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In fact, the GHK pseudoscalar and its fermionic superpartner are normalizable [ref] ; therefore, the supersymmetry of the problem implies that the GHK scalar is normalizable as well and is part of the spectrum.
Symmetry Breaking and Axionic Strings in the Warped Deformed Conifold · Numerical Analysis · 0.99
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In fact, the GHK pseudoscalar and its fermionic superpartner are normalizable [ref] ; therefore, the supersymmetry of the problem implies that the GHK scalar is normalizable as well and is part of the spectrum.
Massless fermionic bound states and the gauge/gravity correspondence · Numerical Analysis · 0.99
Cites as background 23 papers
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The KT solution [ref] corresponds to the large $τ$ limit of the more general KS solution.
Gravity Duals of Supersymmetric SU(N) x SU(N+M) Gauge Theories · The KT Solution · 0.93
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This background demonstrates in a geometrical language such features of the $SU(M)$ supersymmetric gluodynamics as color confinement and the breaking of the $Z_2M$ chiral R-symmetry down to $Z_2$ via gluino condensation [ref] .
Supergravity and a Confining Gauge Theory: Duality Cascades and $\chi$SB-Resolution of Naked Singularities · Introduction · 0.82
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Duality between the cascading $SU(k(M+1))×SU(kM)$ gauge theory and type IIB strings on the warped deformed conifold [ref] provides a rich yet solvable example of gauge/string correspondence [ref] .
Gauge Theory Correlators from Non-Critical String Theory · Introduction · 0.99
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