Giant gravitons in D$p$-brane holography

Gauri Batra; Henry W. Lin

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Giant gravitons in D$p$-brane holography

Gauri Batra, Henry W. Lin

High Energy Physics - Theory · Submitted 20 Feb 2025

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

The authors' main claim Despite propagating in a non-AdS geometry, we find that the branes "feel" like they are in AdS.

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What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.31 · human participants 0.01 · controlled comparison 0.11 · randomized assignment 0.01 · states quantitative result 0.51 · compares with prior results 0.86 · mentions code or data availability 0.02.

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arXiv listing abstract v3. Results and the main claim are underlined; show every role.

We consider half BPS operators in maximally supersymmetric Yang Mills (SYM) in $p+1$ dimensions. These operators satisfy trace relations that are identical to those discussed in the $p=3$ case ($\mathcal{N} = 4$ SYM). Nevertheless, the bulk explanation of these trace relations must differ from the $p = 3$ case as their holographic duals are not AdS spacetimes. We identify giant graviton solutions in the dual holographic backgrounds for $-1 \le p \le 4$. In the 't Hooft limit, these giants are D$(6-p)$-branes that wrap a $S_{6-p} \subset S_{8-p}$. We also follow the giants into the strong coupling region where they become other branes. Despite propagating in a non-AdS geometry, we find that the branes "feel" like they are in AdS. This is closely related to the emergent scaling symmetry present in these boundary theories.

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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	We consider half BPS operators in maximally supersymmetric Yang Mills (SYM) in $p+1$ dimensions.	background 0.66	0.64	0.03	asserted 0.92
s1	These operators satisfy trace relations that are identical to those discussed in the $p=3$ case ($\mathcal{N} = 4$ SYM).	background 0.69	0.27	0.05	asserted 1.00
s2	Nevertheless, the bulk explanation of these trace relations must differ from the $p = 3$ case as their holographic duals are not AdS spacetimes.	background 0.57	0.15	0.11	asserted 0.98
s3	We identify giant graviton solutions in the dual holographic backgrounds for $-1 \le p \le 4$.	contribution 0.70	0.95	0.21	asserted 1.00
s4	In the 't Hooft limit, these giants are D$(6-p)$-branes that wrap a $S_{6-p} \subset S_{8-p}$.	result 0.94	0.86	0.22	asserted 1.00
s5	We also follow the giants into the strong coupling region where they become other branes.	contribution 0.54	0.91	0.08	asserted 1.00
s6	Despite propagating in a non-AdS geometry, we find that the branes "feel" like they are in AdS.	result 0.89	0.95	0.35	asserted 1.00
s7	This is closely related to the emergent scaling symmetry present in these boundary theories.	interpretation 1.00	0.62	0.21	asserted 0.98

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.93.

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Original abstract

We consider half BPS operators in maximally supersymmetric Yang Mills (SYM) in $p+1$ dimensions. These operators satisfy trace relations that are identical to those discussed in the $p=3$ case ($\mathcal{N} = 4$ SYM). Nevertheless, the bulk explanation of these trace relations must differ from the $p = 3$ case as their holographic duals are not AdS spacetimes. We identify giant graviton solutions in the dual holographic backgrounds for $-1 \le p \le 4$. In the 't Hooft limit, these giants are D$(6-p)$-branes that wrap a $S_{6-p} \subset S_{8-p}$. We also follow the giants into the strong coupling region where they become other branes. Despite propagating in a non-AdS geometry, we find that the branes "feel" like they are in AdS. This is closely related to the emergent scaling symmetry present in these boundary theories.

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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

What it cites · 71 sentences without a confident label

Uses the method or tool of 3 papers

Just as in [ref] , we can map to a 2D harmonic oscillator in polar coordinates; [equation] This allows us to quantize the system easily.

Bulk thimbles dual to trace relations · Quantum analysis · 0.98
Here $ḟ = f̣/τ̣$ is a time derivative with respect to written proper time measured with respect to the fictitious AdS metric, [equation] Now, following [ref] we zoom in on the maximal giant and write [equation] Defining $Π= ṙ$, to quadratic order the $R$-charge is [equation] Note that the Hamiltonian is conjugate to the proper time in AdS; it is essentially the mass of the giant.

Trace relations and open string vacua · Classical analysis · 0.84
Here $ḟ = f̣/τ̣$ is a time derivative with respect to written proper time measured with respect to the fictitious AdS metric, [equation] Now, following [ref] we zoom in on the maximal giant and write [equation] Defining $Π= ṙ$, to quadratic order the $R$-charge is [equation] Note that the Hamiltonian is conjugate to the proper time in AdS; it is essentially the mass of the giant.

Invasion of the Giant Gravitons from Anti-de Sitter Space · Classical analysis · 0.84

Compares with 3 papers

We get essentially the same results as [ref] except that $H-J$ has a spectrum that is evenly spaced in units of $1/R_$.

Bulk thimbles dual to trace relations · Quantum analysis · 0.97
This action would then agree with the equation (16) of [ref] .

SUSY and Goliath · Giant graviton solutions · 0.87
However, a key difference in this setup is that the D0 branes have a mass/charge ratio of 1, whereas [ref] considered charged particles with mass/charge ratio $≈0$.

Invasion of the Giant Gravitons from Anti-de Sitter Space · p=6 · 0.99

Cites as background 24 papers

From the bulk perspective, we consider the black brane solutions and then take the decoupling limit [ref] [Let $u$ be a boundary timescale/lengthscale.

Supergravity and The Large N Limit of Theories With Sixteen Supercharges · Review of Dp-brane holography · 0.97
From the bulk perspective, we consider the black brane solutions and then take the decoupling limit [ref] [Let $u$ be a boundary timescale/lengthscale.

The Large N Limit of Superconformal Field Theories and Supergravity · Review of Dp-brane holography · 0.97
This is the most familiar case, the giants in $𝒩=4$ SYM are D3 branes [ref] and are self-dual.

Invasion of the Giant Gravitons from Anti-de Sitter Space · D3 branes · 0.88

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