Supersymmetric states of N=4 Yang-Mills from giant gravitons

Davide Gaiotto; Indranil Biswas; Shiraz Minwalla; Subhaneil Lahiri

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Supersymmetric states of N=4 Yang-Mills from giant gravitons

Indranil Biswas, Davide Gaiotto, Subhaneil Lahiri, Shiraz Minwalla

High Energy Physics - Theory · Submitted 9 Jun 2006

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

The authors' main claim We view our result as evidence that the spectrum of 1/8 BPS states in N=4 Yang Mills theory, which is known to jump discontinuously from zero to infinitesimal coupling, receives no further renormalization at finite values of the `t Hooft coupling.

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arXiv IDhep-th/0606087 (version 3)

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CitationDavide Gaiotto, Indranil Biswas, Shiraz Minwalla, Subhaneil Lahiri. "Supersymmetric states of N=4 Yang-Mills from giant gravitons." arXiv:hep-th/0606087 (2006). https://pith.science/paper/FS6MPG33

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What the abstract itself states, as probabilities: claims first 0.05 · states limitation 0.44 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.44 · compares with prior results 0.88 · mentions code or data availability 0.02.

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Mikhailov has constructed an infinite family of 1/8 BPS D3-branes in AdS(5) x S**5. We regulate Mikhailov's solution space by focussing on finite dimensional submanifolds. Our submanifolds are topologically complex projective spaces with symplectic form cohomologically equal to 2 pi N times the Fubini-Study Kahler class. Upon quantization and removing the regulator we find the Hilbert Space of N noninteracting Bose particles in a 3d Harmonic oscillator, a result previously conjectured by Beasley. This Hilbert Space is isomorphic to the classical chiral ring of 1/8 BPS states in N=4 Yang-Mills theory. We view our result as evidence that the spectrum of 1/8 BPS states in N=4 Yang Mills theory, which is known to jump discontinuously from zero to infinitesimal coupling, receives no further renormalization at finite values of the `t Hooft coupling.

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What the classifier reports for each sentence. The number is the probability it gave the label.
#	sentence	role	the authors' own work	states the main conclusion	strength
s0	Mikhailov has constructed an infinite family of 1/8 BPS D3-branes in AdS(5) x S**5.	background 1.00	0.03	0.03	asserted 1.00
s1	We regulate Mikhailov's solution space by focussing on finite dimensional submanifolds.	method 0.91	0.93	0.03	asserted 0.97
s2	Our submanifolds are topologically complex projective spaces with symplectic form cohomologically equal to 2 pi N times the Fubini-Study Kahler class.	method 0.77	0.79	0.04	asserted 1.00
s3	Upon quantization and removing the regulator we find the Hilbert Space of N noninteracting Bose particles in a 3d Harmonic oscillator, a result previously conjectured by Beasley.	result 1.00	0.89	0.26	asserted 1.00
s4	This Hilbert Space is isomorphic to the classical chiral ring of 1/8 BPS states in N=4 Yang-Mills theory.	result 0.94	0.72	0.28	asserted 1.00
s5	We view our result as evidence that the spectrum of 1/8 BPS states in N=4 Yang Mills theory, which is known to jump discontinuously from zero to infinitesimal coupling, receives no further renormalization at finite values of the `t Hooft coupling.	interpretation 1.00	0.32	0.79	hedged possibility 0.92

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

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Original abstract

Mikhailov has constructed an infinite family of 1/8 BPS D3-branes in AdS(5) x S**5. We regulate Mikhailov's solution space by focussing on finite dimensional submanifolds. Our submanifolds are topologically complex projective spaces with symplectic form cohomologically equal to 2 pi N times the Fubini-Study Kahler class. Upon quantization and removing the regulator we find the Hilbert Space of N noninteracting Bose particles in a 3d Harmonic oscillator, a result previously conjectured by Beasley. This Hilbert Space is isomorphic to the classical chiral ring of 1/8 BPS states in N=4 Yang-Mills theory. We view our result as evidence that the spectrum of 1/8 BPS states in N=4 Yang Mills theory, which is known to jump discontinuously from zero to infinitesimal coupling, receives no further renormalization at finite values of the `t Hooft coupling.

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72 later papers cite it

Evidence: substantial. 69 of the citing papers share no author with it, and 10 of those carry a confident label from Pith's citation classifier.

Pith read 17 of the 127 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

1 later paper by other authors is listed below: 1 used its method or tool.

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BPS Partition Functions for S-folds (2019) · 0.98 · paraphrased: the licence does not allow quoting

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62 arXiv papers cite this in 110 sentences

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Papers citing it · 76 sentences without a confident label

Builds on it 1 paper

This is an adaptation to the AdS$_3 ×S^3$ giant strings of the connection [ref] between the two formalisms of supersymmetry for the AdS$_5 ×S^5$ giant gravitons used e.g. in [ref] and in [ref] .

Instability of Black Holes in AdS$_3 \times S^3$ · Supersymmetric Giant Strings · 0.88

Uses its method or tool 4 papers

We do this by exploiting the so-called giant graviton expansion of the 4d $𝒩=4$ SYM index which is tailored to holography and organizes the index as a series of contributions from BPS operators associated to D3-branes, see [ref] .

The Conformal Manifold of S-folds in String Theory · Introduction and summary · 1.00
Our derivation is along the lines of that found in Appendix F in [ref] , and we use some results from there.

Quantum states to brane geometries via fuzzy moduli spaces of giant gravitons · Symplectic form for perturbations of sphere giant · 0.99
Following the notations of [ref] , the function $W$, which is relevant for defining the inner product is

Counting Wobbling Dual-Giants · Geometric quantization of $ℂℙ^m$ · 0.87

Compares with it 4 papers

Such a structure is reminiscent of the giant graviton expansion [ref] discussed in the context of the superconformal index, or $S^3 ×S^1$ partition function, of 4d $𝒩=1$ SCFTs.

The Conformal Manifold of S-folds in String Theory · Non-perturbative corrections to the $S^3$ partition function · 0.83
The counting of such multiple giant graviton states is considered in [ref] matching that of [ref] .

Interacting Giant Gravitons from Spin Matrix Theory · Giant gravitons · 0.80
We also observe that the expressions for the charges we have written down, apart from the restriction on $n_0$, is similar to the expression for the $(J_1, J_2, J_3)$ charges of the Mikhailov giants discussed in [ref] .[In fact, one can map our wobbling dual-giants into Mikhailov giants by a double Wick-rotation that interchanges $AdS_5$ with $S^5$, at least over some subspaces of their respective parameter spaces.] The appearance of the weighted sum can be understood by focusing on the 1/2-BPS case.

Counting Wobbling Dual-Giants · Counting wobbling dual-giants · 0.99

Cites it as background 22 papers

We start the paper in Section [ref] by reviewing the eighth-BPS brane geometries found in [ref] and their quantization according to [ref] .

Quantum states to brane geometries via fuzzy moduli spaces of giant gravitons · Introduction · 0.94
Recently a lot of papers studied generating functions counting $1/2 BPS$ operators in $𝒩=1$ quiver $CFT$ [ref] .

BPS Partition Functions for Quiver Gauge Theories: Counting Fermionic Operators · Introduction · 0.94
The construction and counting of such states is proving to be a difficult, and as yet unsolved, problem (for some related progress see [ref] ).

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