From Schurs to Giants in ABJ(M)

Badr Awad Elseid Mohammed; Pawel Caputa

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From Schurs to Giants in ABJ(M)

High Energy Physics - Theory · Submitted 29 Oct 2012

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

The authors' main claim Our analysis imposes several constraints on the physics of the probe branes on AdS4xCP3 as well as sheds more light on giant graviton solutions in this background with additional NS B-field.

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What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.27 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.06 · compares with prior results 0.63 · mentions code or data availability 0.02.

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arXiv listing abstract v2. Results and the main claim are underlined; show every role.

In this work we consider various correlators with Schur polynomials in ABJ(M) models that on the dual gravity side should correspond to processes involving giant gravitons. Our analysis imposes several constraints on the physics of the probe branes on AdS4xCP3 as well as sheds more light on giant graviton solutions in this background with additional NS B-field. Our main tool is a formula that we derive for extremal n-point functions of the single trace chiral primary operators in the free field theory limit. The formula expresses the correlators in terms of the two-point function of Schur polynomials labeled by hook diagrams and is valid for a large class of gauge theories. In particular, in N = 4 SYM, it proves the conjecture of Beisert et al.

background contribution method result interpretation main claim

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	In this work we consider various correlators with Schur polynomials in ABJ(M) models that on the dual gravity side should correspond to processes involving giant gravitons.	contribution 0.92	0.70	0.10	hedged possibility 0.60
s1	Our analysis imposes several constraints on the physics of the probe branes on AdS4xCP3 as well as sheds more light on giant graviton solutions in this background with additional NS B-field.	interpretation 0.56	0.87	0.19	asserted 0.98
s2	Our main tool is a formula that we derive for extremal n-point functions of the single trace chiral primary operators in the free field theory limit.	method 0.94	0.96	0.12	asserted 1.00
s3	The formula expresses the correlators in terms of the two-point function of Schur polynomials labeled by hook diagrams and is valid for a large class of gauge theories.	result 0.41	0.92	0.18	asserted 1.00
s4	In particular, in N = 4 SYM, it proves the conjecture of Beisert et al.	result 0.94	0.76	0.19	asserted 1.00

What kind of paper the classifier reports this is: theoretical result 0.85 · evidence from proof or derivation 1.00.

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The paper

Original abstract

In this work we consider various correlators with Schur polynomials in ABJ(M) models that on the dual gravity side should correspond to processes involving giant gravitons. Our analysis imposes several constraints on the physics of the probe branes on AdS4xCP3 as well as sheds more light on giant graviton solutions in this background with additional NS B-field. Our main tool is a formula that we derive for extremal n-point functions of the single trace chiral primary operators in the free field theory limit. The formula expresses the correlators in terms of the two-point function of Schur polynomials labeled by hook diagrams and is valid for a large class of gauge theories. In particular, in N = 4 SYM, it proves the conjecture of Beisert et al.

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References

Forward citations

Cited by 2 Pith papers

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

Birth and Death in Two-color ABJM
hep-th 2026-09 accept novelty 7.0 of 10

The two-loop operator mixing in U(2)×U(2) ABJM theory is exactly solvable, with eigenvectors given by Racah polynomials and a birth-death process interpretation.
Universal and Transcendental Structures in Protected ABJM Two-Point Functions
hep-th 2026-08 accept novelty 7.0 of 10

The two-loop correction to any protected two-point function in ABJM theory is given by a formula involving the tree-level metric and a kernel connecting Young diagrams differing by one box.

How the literature uses it

13 arXiv papers cite this in 17 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 · 11 sentences without a confident label

Builds on it 3 papers

This again generalizes results that are known for the $U(N)$ gauge theory [ref] .

A basis for large operators in N=4 SYM with orthogonal gauge group · Introduction · 0.96
This provides a complete generalization of the $U(N)$ result which was derived in [ref] .

Operators, Correlators and Free Fermions for SO(N) and Sp(N) · Multi trace Correlators Again · 0.95
This procedure can be generalized easily to the case when the gauge groups have different rank [ref] , by multiplying the results of these products of numbers when we decorate the Young diagrams with the ranks for each gauge group in the chain instead of a common one $N$.

Extremal chiral ring states in AdS/CFT are described by free fermions for a generalized oscillator algebra · Extremal chiral ring states are described by Young diagrams · 0.86

Cites it as background 3 papers

For quiver gauge theories, there are two distinct approaches that have been developed to study the finite $N$ physics [ref] [For earlier work, focusing on essentially single matrix dynamics, see [ref] ].

Finite N Quiver Gauge Theory · Summary and Conclusions · 0.97
For the theory with gauge group $U(N)$ the technology for computing n-point correlators is rather well developed [ref] .

A basis for large operators in N=4 SYM with orthogonal gauge group · Discussion and future directions · 0.93
The studies were extended beyond $=4$ SYM to gauge theories such as ABJM [ref] and the conifold [ref] .

Quivers, Words and Fundamentals · Introduction · 0.80

What it cites · 31 sentences without a confident label

Builds on 1 paper

After detailed analysis we put forward a prediction for the ABJ giant graviton solution that remains to be constructed and should generalize [ref] .

The giant graviton on AdS_{4} x CP^{3} - another step towards the emergence of geometry · Introduction and summary · 0.98

Uses the method or tool of 1 paper

The amplitude can be computed using appendix H of [ref] for ABJ operators together with the results obtained in our appendix D, we consider the case where both $R$ and $S$ have rows of $O(N)$ and columns of $O(1)$ (the other case follows directly by changing to the symmetric representation).

Giant Gravitons - with Strings Attached (III) · String splitting and joining · 0.91

Compares with 3 papers

Mathematica can formally sum it into a combination of the Meijer G-functions [equation] To the leading order in $N$ and $M$ and the answer is [equation] Using this result we can compute the normalized three point functions [equation] This leading contribution was also computed in [ref] and it is equal to the sum of two leading $𝒩=4$ three point functions in $N$ and $M$.

Correlators of Giant Gravitons from dual ABJ(M) Theory · Three-point functions · 0.99
That is [equation] Upon using equation [ref], we get [equation] Shifting $J_1$ to $J_1+1$, we arrive at [equation] Similarly [equation] Recall the result of open string correlators in $N=4$ SYM theory [ref] [equation] once again, ABJ answer is not simply a product of two open string correlators.

Giant Gravitons - with Strings Attached (III) · Open string correlators · 0.92
If we set $N=M$ our coefficients reduce to the extremal three correlators in ABJM that were studied in [ref] both in gauge theory and gravity.

Giant Gravitons on AdS_4 x CP^3 and their Holographic Three-point Functions · Two Schurs and a CPO · 0.97

Cites as background 17 papers

One of the most important developments in this direction is the new $AdS_4/CFT_3$ duality proposed by Aharony, Jafferis, Bergman and Maldacena (ABJM) [ref] .

N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals · Brief review of the ABJ(M) models · 0.97
Three-dimensional ABJ(M) models [ref] are conjectured to capture the physics of M-branes in $AdS_4×S^7$ and D-branes in type IIA theory on $AdS_4×ℂℙ^3$.

Fractional M2-branes · Introduction and summary · 0.83
For more details see [ref] .

ABJM Baryon Stability and Myers effect · Schurs and giants in $AdS_4/CFT_3$ · 0.96

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