Vibration modes of giant gravitons

Antal Jevicki; Samir D. Mathur; Sumit R. Das

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Vibration modes of giant gravitons

Sumit R. Das, Antal Jevicki, Samir D. Mathur

High Energy Physics - Theory · Submitted 3 Sep 2000

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim This implies that the holographic dual theory must have, in a given R charge sector, low-lying non-BPS excitations with level spacings independent of the R charge.

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What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.10 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.12 · compares with prior results 0.06 · mentions code or data availability 0.01.

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We examine the spectrum of small vibrations of giant gravitons, when the gravitons expand in the anti-de-Sitter space and when they expand on the sphere. For any given angular harmonic, the modes are found to have frequencies related to the curvature length scale of the background; these frequencies are independent of radius (and hence angular momentum) of the brane itself. This implies that the holographic dual theory must have, in a given R charge sector, low-lying non-BPS excitations with level spacings independent of the R charge.

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#	sentence	role	the authors' own work	states the main conclusion	strength
s0	We examine the spectrum of small vibrations of giant gravitons, when the gravitons expand in the anti-de-Sitter space and when they expand on the sphere.	contribution 1.00	0.88	0.06	asserted 0.78
s1	For any given angular harmonic, the modes are found to have frequencies related to the curvature length scale of the background; these frequencies are independent of radius (and hence angular momentum) of the brane itself.	result 1.00	0.94	0.32	asserted 1.00
s2	This implies that the holographic dual theory must have, in a given R charge sector, low-lying non-BPS excitations with level spacings independent of the R charge.	interpretation 1.00	0.55	0.70	asserted 0.78

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.99.

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The paper

Original abstract

We examine the spectrum of small vibrations of giant gravitons, when the gravitons expand in the anti-de-Sitter space and when they expand on the sphere. For any given angular harmonic, the modes are found to have frequencies related to the curvature length scale of the background; these frequencies are independent of radius (and hence angular momentum) of the brane itself. This implies that the holographic dual theory must have, in a given R charge sector, low-lying non-BPS excitations with level spacings independent of the R charge.

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References

Forward citations

Cited by 11 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

Open Spin Chains in Super Yang-Mills at Higher Loops: Some Potential Problems with Integrability
hep-th 2006-03 conditional novelty 8.0 of 10

Non-BPS giant graviton mixing at two loops is described by an open spin chain that appears to lack a Bethe ansatz, suggesting a breakdown of integrability.
Reflecting magnons
hep-th 2007-08 accept novelty 7.0 of 10

Symmetry fixes the boundary reflection matrix of magnons off maximal giant gravitons up to a phase, verified at two loops in weak coupling and computed at strong coupling from classical string solutions.
D-branes in Yang-Mills theory and Emergent Gauge Symmetry
hep-th 2004-11 conditional novelty 7.0 of 10

One-loop Yang-Mills computations around subdeterminant (giant graviton) operators reproduce open-string boundary conditions, compact-brane Gauss' law, and Chan-Paton factors, supporting the identification of these ope...
Exact Correlators of Giant Gravitons from dual N=4 SYM
hep-th 2001-11 accept novelty 7.0 of 10

Exact finite-N correlators of half-BPS operators in free N=4 SYM are derived and organized by Young diagrams, yielding a dictionary between diagram shapes and giant graviton states in AdS5 x S5.
The giant graviton expansion in AdS$_5\times$SE$_5$
hep-th 2026-07 conditional novelty 6.0 of 10

Giant-graviton fluctuations on AdS5 imes SE5 are governed by a conical Fock-Darwin system whose lowest Landau level yields the protected finite-N index of the dual N=1 SCFT for T1,1.

Show 6 more citing papers

Surprisingly Simple Spectra
hep-th 2010-12 conditional novelty 6.0 of 10

The one-loop dilatation operator for two-column restricted Schur polynomials with up to four impurities has a spectrum that matches a collection of harmonic oscillators, suggesting integrability beyond the planar limit.
Diagonal free field matrix correlators, global symmetries and giant gravitons
hep-th 2008-06 accept novelty 6.0 of 10

A general Clebsch-Gordan construction diagonalizes free-field two-point functions for multi-matrix operators with global symmetry, and for the SL(2) sector of N=4 SYM it reproduces the Fock-space counting of giant gra...
Supersymmetric states of N=4 Yang-Mills from giant gravitons
hep-th 2006-06 accept novelty 6.0 of 10

Quantizing Mikhailov's 1/8 BPS giant graviton solution space yields the Hilbert space of N bosons in a 3d harmonic oscillator, matching the classical chiral ring of N=4 Yang-Mills and supporting the conjecture that th...
Integrable open spin chains from giant gravitons
hep-th 2005-01 conditional novelty 6.0 of 10

A maximal giant graviton imposes integrable boundary conditions on the one-loop SO(6) open spin chain dual to strings attached to it.
Open Strings from N=4 Super Yang-Mills
hep-th 2002-04 conditional novelty 6.0 of 10

Open strings on spherical D3-branes (giant gravitons) are reconstructed from N=4 super Yang-Mills operators in a Penrose limit, with the leading spectrum matched.
Baryon Spectra and AdS/CFT Correspondence
hep-th 2002-02 conditional novelty 6.0 of 10

Wrapped D3-branes in AdS5 x T^{1,1} carry the same R-charge and dimension as dibaryon operators in the dual SU(N) x SU(N) gauge theory, confirming the brane-operator map.

How the literature uses it

17 arXiv papers cite this in 41 sentences

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Papers citing it · 21 sentences without a confident label

Builds on it 2 papers

In this limit all the modes decouple and we are back to the undeformed solutions of [ref] , now extended with the gauge field contributions.

Giants on Deformed Backgrounds Part II: The Gauge Field Fluctuations · Conclusions · 0.98
Section 7 shows how our results on the $SL(2)$ sector can be used to provide the gauge theory operators dual to the worldvolume excitations of giants considered in [ref] .

Diagonal free field matrix correlators, global symmetries and giant gravitons · Outline of paper and main results · 0.84

Uses its method or tool 4 papers

Our methods here are similar to those of [ref] .

Giant graviton expansions and ETW brane · Quadratic fluctuations · 0.99
Following the steps similar to the stability analysis of [ref] , we found two types of classical solutions oscillating around the BPS giant gravitons.

Oscillating Multiple Giants · Introduction · 0.94
Instead of ([ref]), to study the fluctuation spectrum it is convenient to use the following parametrization of the $AdS_5$ part of the metric [ref] ds^2_AdS_5=-(1+∑_k=1^4v_k^2)dt^2+R^2(δ_ij+v_i v_j/1+∑_k=1^4v_k^2)dv_i dv_j and consider the modified ansatz r=r_0+ε ρ(σ^a) ϕ_1=ω_0 t+ε φ(σ^a) v_k=ε χ_k(σ^a) F=dA with respect to the D3–brane configuration given in ([ref]), which now reads r=r_0≡R √(J/N) ϕ_1=ω_0 t≡1/R t v_k=0 F=0 Recall that $F$ is always dressed with $ε$, $J$ is the fixed angular momentum and we have $σ^a=(t,θ,ϕ_2,ϕ_3)$.

Giants on Deformed Backgrounds Part II: The Gauge Field Fluctuations · The complete bosonic spectrum around giant gravitons · 0.93

Compares with it 4 papers

The fact that the spectrum of the anomalous dimensions in $N=4$ super Yang-Mills theory is independent of the parameters of the Young diagram associated to the giant graviton system, matches the fact that the spectrum of small fluctuations around the giant is independent of the size of the giant [ref] .

Heavy Operators in Superconformal Chern-Simons Theory · Discussion · 0.90
These structures have been used to identify gauge invariant operators with energies and multiplicities matching those appearing in earlier work on the excitations of giant gravitons computed from the point of view of a worldvolume analysis [ref] .

Diagonal free field matrix correlators, global symmetries and giant gravitons · Summary and Outlook · 0.85
A similar feature is also encountered in the study of fluctuation actions around giant graviton solutions in $AdS_5×S^5$ [ref] .

The fuzzy S^2 structure of M2-M5 systems in ABJM membrane theories · Discussion and future avenues · 0.94

Cites it as background 8 papers

The quantum fluctuation modes around the giant graviton have been studied in [ref] .

Oscillating Multiple Giants · Introduction · 0.98
The study of fluctuations around these classical configurations was initiated in [ref] (see also [ref] ).

The giant graviton expansion in AdS$_5\times$SE$_5$ · Revisiting the giant graviton in AdS$_5×S^5$ · 0.90
Around this solution, there are small fluctuations [ref] [equation] which corresponds to fields living on the D3-brane.

Giant Graviton Correlators as Defect Systems · Introduction · 0.85

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