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SUSY and Goliath

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Marcus T. Grisaru, Robert C. Myers, Oyvind Tafjord

High Energy Physics - Theory · Submitted 1 Aug 2000 · 28 references

Pith's verdict: The SUSY claim is solid and checkable, the dual giant graviton is the genuinely new object, and the instanton section has algebra slips that need fixing but do not touch the main result.

T0 · AI review

How this review was made: An AI referee (selfhosted/deepseek-v4.1-flash) read the paper on October 29, 2026 and answered a fixed list of questions about it. T0 is the starting level every paper gets. The levels describe how deeply Pith has checked the paper, never the authors.

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  4. T3 Formal statement The claims written out in a formal math language a computer can read.
  5. T4 Proof Those claims proved, and the proof checked by computer.

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arXiv IDhep-th/0008015 (version 1)
Pith ID2KSHPOJ7, Pith's permanent record of this paper and its review
CitationMarcus T. Grisaru, Oyvind Tafjord, Robert C. Myers. "SUSY and Goliath." arXiv:hep-th/0008015 (2000). https://pith.science/paper/2KSHPOJ7
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The paper

The paper claims

Giant gravitons, and a newly identified 'dual' family of branes expanding into AdS, are shown to be BPS states that preserve precisely the same supersymmetries as a point-like graviton.

The reading

In the AdS/CFT correspondence, a graviton moving on the internal sphere of the geometry can, according to earlier work by McGreevy, Susskind and Toumbas, blow up into a spherical brane whose radius grows with its angular momentum. That picture was offered as an explanation of the 'stringy exclusion principle': the sphere has finite size, so the angular momentum cannot exceed a maximum tied to the rank of the dual gauge group. A natural worry was that a sphere of brane wrapped around the internal space contains antipodal patches that look like brane and anti-brane, which would normally destroy all supersymmetry. This paper checks the supersymmetry directly. Using the standard Killing spinors of the AdS x S background and the kappa-symmetry projection of the brane world-volume action, the authors show that the expanded brane and the point-like graviton obey the same projection condition, so both are BPS and preserve half of the 32 background supersymmetries. They then exhibit a second, 'dual' configuration in which a brane expands into the anti-de Sitter part of the geometry instead of the sphere, with the same energy and the same supersymmetry. Because the AdS directions are non-compact, this dual state has no upper bound on angular momentum, which the authors flag as a tension with the original exclusion-principle story. They compute finite-action instantons that let the expanded states tunnel to their collapsed cousins, and speculate that above the bound supersymmetry is spontaneously broken so that only two candidate states remain.
Extended reading notes

Core claim

The central claim, from abstract:s1 and Section 3, is that the giant graviton (a spherical (n-2)-brane expanded on S^n) is a BPS configuration preserving precisely the same supersymmetries as a point-like graviton. Concretely, the kappa-symmetry projection for the expanded brane reduces, after substituting the stable-orbit condition phi-dot = 1/L, to the same constant-spinor constraint (Gamma^{t phi} + 1) epsilon_0 = 0 that a massless particle moving along phi satisfies. The same projection is recovered for the dual AdS-expanding brane and for the D3 and M5 cases. If correct, the expanded and collapsed states sit in the same short supermultiplet.

Load-bearing premise

The whole analysis is a probe (test-brane) computation: the brane is treated as moving in a fixed, unperturbed AdS_m x S^n background, and its backreaction on the geometry and on the Killing spinors is neglected. This enters at the start of Section 2 ('various (test) brane configurations in background spacetimes') and is used throughout Section 3, where the background Killing spinors of eqs. (53)-(54) and (75)-(86) are imposed on the world-volume. The authors themselves note in Section 4 that 'working with the test-brane action will be problematic for the point-like configurations' and that stringy corrections may break the description. If backreaction or strong-coupling corrections alter the projection, the equality of preserved supersymmetries between expanded and point-like states is not established.

Original abstract

We investigate the `giant gravitons' of McGreevy, Susskind and Toumbas [hep-th/0003075]. We demonstrate that these are BPS configurations which preserve precisely the same supersymmetries as a `point-like' graviton. We also show that there exist `dual' giant gravitons consisting of spherical branes expanding into the AdS component of the spacetime. Finally, we discuss the realization of the stringy exclusion principle within this expanded framework.

The compiled record

The paper's own sentences, arranged, kept beside the review and separate from it. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 3,550 input tokens, $0.0001 reported.

What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.06 · human participants 0.01 · controlled comparison 0.12 · randomized assignment 0.01 · states quantitative result 0.10 · compares with prior results 0.57 · mentions code or data availability 0.01.

The abstract, sentence by sentence

arXiv listing abstract v1. Results and the main claim are underlined; .

We investigate the `giant gravitons' of McGreevy, Susskind and Toumbas [hep-th/0003075]. We demonstrate that these are BPS configurations which preserve precisely the same supersymmetries as a `point-like' graviton. We also show that there exist `dual' giant gravitons consisting of spherical branes expanding into the AdS component of the spacetime. Finally, we discuss the realization of the stringy exclusion principle within this expanded framework.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 We investigate the `giant gravitons' of McGreevy, Susskind and Toumbas [hep-th/0003075]. contribution 0.51 0.45 0.04 asserted 0.63
s1 We demonstrate that these are BPS configurations which preserve precisely the same supersymmetries as a `point-like' graviton. result 0.97 0.94 0.45 asserted 1.00
s2 We also show that there exist `dual' giant gravitons consisting of spherical branes expanding into the AdS component of the spacetime. result 0.79 0.91 0.16 asserted 1.00
s3 Finally, we discuss the realization of the stringy exclusion principle within this expanded framework. contribution 0.68 0.73 0.12 asserted 0.54

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.98.

What was examined, and what was not

sources read
  • arXiv listing abstract v1
not examined
  • full text
  • figures and tables
  • references and citing sentences
  • relations to other papers
levels run
  • P abstract
not run
  • S sections
  • T body sentences
  • C citations
  • R cross-paper relations

Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

Figures
Figure 1. Energy of expanded (n−2)-brane, n even, as a function of its radius. For p = Pφ/N ≤ 1 (left figure) there are two degenerate minima. For p > 1 the second minimum acquires higher energy and eventually disappears completely. Hn(θ) θ p < 1 Hn(θ) θ p > 1
Figure 2. Energy of expanded (n−2)-brane, n odd, as a function of its radius. Same behavior as for n even, except that the potential is symmetrical. the n-sphere, but with the opposite orientation for the angular coordinates. For n even, this is equivalent to an anti-brane with momentum Pφ expanding into the n-sphere. For n odd, this is in fact the identical configuration of a brane expanding into the n-sphere. This explains a second curious point, namely, for n odd, the potential (18) is even under θ → −θ, but there is no such symmetry for n even. In the first case, the configurations with θ…
Figure 3. Energy of an (m−2)-brane expanding into AdSm as a function of its radius. As we did above, we consider the center of mass motion of these brane configurations. One again finds for any of the stable minima that φ˙ = 1/L, independent of Pφ. The center of mass motion then follows a null trajectory in the full (m+n)-dimensional background spacetime for either the point-like state or the branes that have expanded into the AdS space. In the latter case, the motion of each element of the sphere is along a time-like trajectory with ds2 = −(r/Le) 2 dt2 . 2.3 Instanton Transitions So far we h
Figure 4. Instanton transition from the expanded (
Figure 5. Instanton transition from the expanded (
Figure 6. Part of the moduli space of giant gravitons. For

Figures reproduced from arXiv:hep-th/0008015 by the authors.

References
How later papers used it

104 later papers cite it

Evidence: substantial. 104 of the citing papers share no author with it, and 12 of those carry a confident label from Pith's citation classifier.

Pith read 14 of the 163 citing sentences, choosing only those whose citation markers point at this paper alone, and wrote the paraphrases from them. The summary, the counts, the evidence level, the links and the quotes come from code; the summary counts the papers listed below. A later paper is listed under a label when Pith's citation classifier gives one of its sentences that label at probability 0.8 or more (0.95 for support), Pith's reading finds that the citing paper itself did it, and a second check confirms the paraphrase against the sentence. This section lists uses only. It does not list criticism or disagreement, so their absence here says nothing about how the paper has been received. Papers that share an author with this one are listed apart, under "By the same authors". A quote is the citing authors' own sentence, shown when their paper's licence is CC BY, CC BY-SA or CC0. JSON

Uses its method or tool 4 of 6 papers with this label
How the literature uses it

91 arXiv papers cite this in 149 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it · 92 sentences without a confident label

Builds on it 1 paper
  • Our analysis in this paper focuses on the Eucllidean path integral, but along the way, we have also found new supersymmetric Lorentzian probe D3-brane configurations in the BPS black hole backgrounds (and complexification thereof), that generalize the giant and dual giant graviton configurations in AdS$_5$ [ref] .

    A gravity interpretation for the Bethe Ansatz expansion of the $\mathcal{N}=4$ SYM index · Introduction and Summary · 0.91

Uses its method or tool 5 papers
  • For the background Killing spinors we use the $AdS_5×S^5$ Killing spinor equation in the conventions of [ref] , namely [equation] Whenever explicit values for indices appear, we will use an underline to distinguish local Lorentz indices from coordinate indices.

    Supersymmetric D3/D5 for massive defects on curved space · Background Killing spinors · 0.88

  • By repeating the steps of Sec. 3 of [ref] , we have verified that this is indeed the case.

    Thermal Giant Gravitons · Solution branches and stability · 0.84

  • We use the AdS$_5×$S$^5$ Killing spinor equation in the conventions of [ref] [equation] and we have $:=Γ^01234=-Γ_01234$ along with $:=Γ^56789$.

    Supersymmetric D3/D7 for holographic flavors on curved space · Geometry and embedding ansatz · 0.92

Compares with it 5 papers
Cites it as background 38 papers

Discussion

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