Aspects of Large N Gauge Theory Dynamics as Seen by String Theory

David J. Gross; Hirosi Ooguri

REVIEW

Aspects of Large N Gauge Theory Dynamics as Seen by String Theory

David J. Gross, Hirosi Ooguri

High Energy Physics - Theory · Submitted 20 May 1998 · 35 references

Pith's verdict: An early holographic-QCD paper whose real content is four or five concrete new results buried under a modest framing; the one genuinely uncomputed step is the branch-point determinant in Section 4.

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CitationDavid J. Gross, Hirosi Ooguri. "Aspects of Large N Gauge Theory Dynamics as Seen by String Theory." arXiv:hep-th/9805129 (1998). https://pith.science/paper/NBYF7YRO

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Editor's note

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Worth your time, but read it for the specific results, not the framing. The abstract sells it as consistency checks against qualitative expectations, and much of it is exactly that — but Sections 2 through 5 contain things that were not in the cited literature when this was written, and a couple of them are still the standard reference points. The general-p confining tension, (tension)_p = (g^2_YM N)^{1/(5-p)} T^{(6-p)/(5-p)} (Eq. 9), extends the p=3,4 results of Brandhuber et al. and Rey et al. and is the formula people quote. The monopole-antimonopole analysis in Section 2 is a clean piece of geometry: the D2 brane has no connected minimizing configuration past L_crit because the tau circle is contractible at the horizon, so the potential goes flat and you read off screening. The theta-angle section is short but the rational-theta oblique confinement picture is a real observation, not in Witten's hep-th/9803131. And the Chern-Simons baryon vertex in Section 5 is the construction everyone now uses; the overlap with Witten hep-th/9805112 is disclosed in a footnote, which is the right handling. The authors are also honest about the limits: small lambda is out of reach, the supergravity approximation breaks down, the glueball spectrum is not computed, and the Discussion explicitly raises the possibility that the two descriptions never overlap. That last paragraph is more careful than the abstract and you should weight it accordingly. Where it is soft: Section 4. The A^{n-1} prefactor is asserted as an entropy count of branch-point positions and never computed — the paper says the calculation 'simply amounts to computing determinants of the Laplace operators on the disk with (n-1) branch points' and then does not do it. That is the open item. The (-1)^{n-1} sign is a different matter and I think it is fine: the argument is topological, the transition function w^{(n-1)/2} sqrt(dw) makes the fermion periodic or anti-periodic around C according to the parity of n, and GSO does the rest. That does not care about the R-R flux. Two caveats on the surrounding prose, though. The claim that the R-R background 'does not affect the worldsheet theory' at zeroth order is too strong in Green-Schwarz, where the flux couples to worldsheet fermions at that order; the conclusion survives but the stated premise does not. And 'no obvious unstable modes' does not exclude a sign from a fermionic determinant — determinants can go negative without unstable modes — so the exclusion of a determinant contribution to the sign is under-argued even if the answer is right. So: the stress-test note lands, and the reader's version of the worry is aimed at the wrong half of the claim. Who should read it: anyone working on holographic QCD or on Wilson loops in higher representations, and anyone who wants the origin of the baryon vertex. It deserves referees. Send it out.

Referee report

Significance

The paper is timely and contains several genuinely non-trivial structural statements. The most interesting is the Section 4 claim that the (-1)^{n-1} sign in the n-winding Wilson loop follows from the transition function w^{(n-1)/2} sqrt(dw) combined with the GSO projection; this is a sharp, checkable statement about the fermionic nature of the confining large-N string and is the kind of result that constrains candidate master fields. The baryon construction via the AdS Chern-Simons term (Eqs. 31, 34) is a clean and reusable observation, and the identification of the L_crit instability with a crossover to supergraviton exchange is a useful reframing of a puzzle raised in the earlier literature. The authors are also commendably explicit about where control is lost: the neglect of O(1) numerical factors in Eqs. (3)-(5), the breakdown of the supergravity approximation at small lambda, the statement that the construction 'does not establish that QCD is a confining theory', and the Section 6 caveat that a large-N phase transition at lambda_cr would substantially weaken the programme. These acknowledgements are a strength, not a weakness, and I have weighted them as such.

Major objections (4)

[Section 4, Eqs. (25)-(26)] The general formula (26) does not reduce to the worked n=2 example (25). Setting n=2 in Eq. (26) gives a prefactor -g^2_YM A, whereas Eq. (25) gives -4 g^2_YM A. Since the A^{n-1} prefactor is one of the paper's advertised results, this factor-of-four discrepancy should be reconciled explicitly, either by identifying a different normalization of A(C) in the two equations or by correcting one of them. A one-line check at n=2 would settle it.
[Section 4, paragraph beginning 'To understand the prefactor'] The A^{n-1} factor is asserted rather than derived. The text states that the computation 'simply amounts to computing determinants of the Laplace operators on the disk with (n-1) branch points and summing over all possible locations of the branch points', and then says the factor 'is then easy to explain as it corresponds to the entropy factor associated to the positions of the branch points'. No determinant is evaluated and no sum over branch-point positions is performed. Either carry out the leading disk computation, or state plainly that A^{n-1} is a conjecture supported by an entropy argument. Relatedly, the exclusion of a determinant origin for the sign on the grounds that 'the worldsheet does not have obvious unstable modes' is not by itself a proof: a fermionic determinant can change sign without any unstable mode. The topological argument that precedes it is convincing and does not need this additional, weaker justification.
[Section 2, glueball discussion and Ref. [19]] The claim that the supergravitons of the AdS-Schwarzschild geometry 'should be identified with the glueballs of QCD_p', and that the resulting masses are quantized in units of the temperature T, is supported only by a forthcoming numerical study cited as Ref. [19] ('work in progress'). The qualitative resolution of the L_crit puzzle in Fig. 5 is plausible, but the quantitative glueball claim is not demonstrated in this manuscript. Please either supply at least one representative mass eigenvalue or explicitly mark the glueball identification as a proposal contingent on Ref. [19].
[Section 3, Eqs. (17)-(19)] The theta-sector statements are asserted from the topology of the twisted torus fibration without any worldsheet or membrane computation. In particular, the claims that for irrational theta/2pi 'the m-mbar potential would obey the area law' and that for theta = 2pi p/q confinement proceeds via condensation of a (-p,q) dyon are qualitative. This is a legitimate and interesting proposal, but it should be labelled as such, with a sentence stating what computation would confirm it (for example, the membrane worldvolume action analogous to Eq. (12)).

Minor objections (6)

[Section 2, Eqs. (7) and (12)] The radical symbols in Eq. (7) and in the integrand of Eq. (12) are corrupted in the version supplied for review. Please verify that the typeset equations are legible in the final version, since Eq. (12) is the starting point for the entire monopole-screening analysis.
[Section 4, Eq. (25)] The exponent in Eq. (25) appears as 'e^{-2 g^2_YM N N A(C)}'. From Eq. (21) with C2(S) = 2N + 2 - 4/N, the leading exponent should be -2 g^2_YM N A(C). Please check the displayed factor.
[Section 5, paragraph on the q-qbar potential] The statement 'For N > 4, it is clear that it costs less energy if we move the N string junction toward u = 0' introduces an unexplained threshold. Please state where the condition N > 4 comes from, since the energetic argument as written would appear to apply for any N large enough to have N-2 strings to absorb.
[Section 1, Eq. (1) versus Section 4, Eq. (28)] Eq. (1) gives an attractive Coulomb energy scaling as -sqrt(lambda)/R, while Eq. (28) gives a Wilson-loop expectation with a positive exponent. The authors flag this sign puzzle themselves and propose a mass-renormalization resolution via Eq. (29), which is appropriate, but the constant c in Eq. (29) is not computed and the resolution remains heuristic. A sentence stating explicitly that the resolution is not derived here would help the reader.
[Section 1 and Section 6] The paper is candid that the checks are consistency checks of a conjecture against qualitative expectations. It would strengthen the presentation to state, in one place, which of the results in Sections 2-5 would survive the phase-transition scenario raised in Section 6 and which would not.
[Section 1, note added] The overlap with Ref. [11] is disclosed clearly and handled well. A slightly more precise statement of which construction in Section 5 is independent of Ref. [11] would help the reader assign credit.

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The paper

The paper claims

Gross and Ooguri argue that the black-hole branch of the Maldacena duality reproduces, at strong coupling and large $N$, the qualitative behavior expected of confining gauge theories, and that the agreement is sharp enough to count as new证据

The reading

The paper asks whether Maldacena's conjectured duality between large-$N$ gauge theories and string theory in anti-de Sitter space actually reproduces what we believe about confining gauge dynamics at strong coupling. Working in the black-hole version of the geometry, where supersymmetry is broken by boundary conditions on a compact circle, Gross and Ooguri compute several quantities: the confining string tension, the force between magnetic monopoles, the masses of glueballs, and the expectation values of Wilson loops in higher representations. In each case the string-side answer lands on the qualitative field-theory expectation: an area law, complete screening of monopoles beyond a critical separation, a mass gap set by the compactification scale, and the correct Casimir scaling of the loop exponents. The sharpest of these is a sign, $(-1)^{n-1}$, in the $n$-times-wound Wilson loop, which the authors trace to the GSO projection of a fermionic string and read as evidence that the master field of a confining gauge theory is a string built from fermions. They also construct baryons as $N$ strings joined at a point in the bulk, made possible by the Chern-Simons term of the supergravity action.

What carries the argument

The engine is the Anti-de Sitter Schwarzschild geometry obtained by compactifying the supersymmetric theory on a circle with anti-periodic fermions; the horizon makes the circle contractible, which is what breaks supersymmetry and produces the area law. Wilson loops are computed from the classical action of a string worldsheet that drops from the boundary to near the horizon before spreading in the field-theory directions, giving the tension formula and the critical-distance collapse of the connecting surface. Baryons are built from the Chern-Simons terms $S_{CS5} = (N/2) epsilon^{ab} int B_a wedge dB_b$ and $S_{CS7} = (N/2) int C wedge dC$, which allow $N$ strings or membranes of equal charge to fuse at a point, a higher-dimensional analogue of the stringy exclusion principle. For higher representations the authors use the Frobenius formula to relate characters to multiply wound loops, then model the minimal surface as $n$ disks joined by $n-1$ branch points and read the $A^{n-1}$ entropy factor and the $(-1)^{n-1}$ sign off the free-string disk amplitude.

Extended reading notes

Core claim

The central claim is that the strong-coupling, large-$N$ predictions extracted from the dual supergravity and string descriptions are consistent with the qualitative expectations of the corresponding gauge theories, and that several of these checks are nontrivial enough to count as additional evidence for the duality itself. Concretely, the confining string tension comes out as $(g^2_{YM}N)^{1/(5-p)}$ times a power of the temperature, the monopole-antimonopole potential flattens beyond a critical separation $L_{crit}$ of order $1/T$ so that confinement is accompanied by monopole condensation, glueballs are identified with supergravitons of the Schwarzschild-AdS geometry, and a nonzero $\theta$ parameter produces oblique confinement at rational $theta/2pi = p/q$. The paper further argues that the prefactor of the $n$-winding Wilson loop carries a sign $(-1)^{n-1}$, fixed by the GSO projection, which depends critically on the underlying string being fermionic.

Load-bearing premise

The higher-representation result assumes that the leading correction to the $n$-winding Wilson loop can be extracted from a free-string disk amplitude with $n-1$ branch points, neglecting both the Ramond-Ramond background and the spacetime curvature.

Editorial extensions

If this is right

The confining string tension is fixed as $(g^2_{YM}N)^{1/(5-p)}T^{(6-p)/(5-p)}$, a definite prediction for how tension depends on temperature and coupling in the dimensionally reduced theory.
Monopole-antimonopole attraction is cut off beyond $L_{crit} \sim 1/T$, so confinement in this construction arrives together with monopole condensation and an infinite magnetic mass.
Glueball masses are quantized in units of the temperature and can in principle be computed numerically from the supergraviton wave equation in the Schwarzschild-AdS background.
At rational $\theta/2\pi = p/q$ a cycle $q\beta - p\alpha$ becomes contractible, so confinement proceeds through condensation of a dyon of electric charge $-p$ and magnetic charge $q$.
Baryons exist as $N$ strings meeting at a bulk point, and the potential between any finite number of quarks vanishes in the conformal case and diverges in the confining case.

Reading between the lines

Editorial extensions of the paper, not claims the author makes directly.

The infinite magnetic mass the authors flag as puzzling suggests the Schwarzschild-AdS description behaves like a strong-coupling lattice theory with spacing $1/T$: a finite magnetic mass can only appear once the stringy corrections at small $\lambda$ are under control, so the result is a statement about a cutoff theory rather than continuum QCD.
The $(-1)^{n-1}$ sign is a cheap and sharp target, because it depends only on the fermionic character of the underlying string; any confining large-$N$ theory whose multiply wound loops lack this alternation would undercut the identification.
If the speculated large-$\lambda$ phase transition is real, the duality's practical reach shrinks to a window that never overlaps asymptotically free QCD, and the tension and glueball results become statements about a lattice-like strong-coupling theory rather than the real world.
The baryon construction suggests a general pattern worth testing elsewhere: whenever the bulk carries a Chern-Simons term for a $p$-form, $N$ objects of the matching charge should fuse, which predicts analogous multi-quark junctions in other dimensions.

Original abstract

In this paper we explore some of the features of large N supersymmetric and nonsupersymmetric gauge theories using Maldacena's duality conjectures. We shall show that the resulting strong coupling behavior of the gauge theories is consistent with our qualitative expectations of these theories. Some of these consistency checks are highly nontrivial and give additional evidence for the validity of the proposed dualities.

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The abstract, sentence by sentence

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

In this paper we explore some of the features of large N supersymmetric and nonsupersymmetric gauge theories using Maldacena's duality conjectures. We shall show that the resulting strong coupling behavior of the gauge theories is consistent with our qualitative expectations of these theories. Some of these consistency checks are highly nontrivial and give additional evidence for the validity of the proposed dualities.

background contribution method result interpretation main claim

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#	sentence	role	the authors' own work	states the main conclusion	strength
s0	In this paper we explore some of the features of large N supersymmetric and nonsupersymmetric gauge theories using Maldacena's duality conjectures.	contribution 0.97	0.78	0.06	asserted 0.79
s1	We shall show that the resulting strong coupling behavior of the gauge theories is consistent with our qualitative expectations of these theories.	result 0.82	0.83	0.55	hedged possibility 0.70
s2	Some of these consistency checks are highly nontrivial and give additional evidence for the validity of the proposed dualities.	interpretation 0.93	0.75	0.28	asserted 0.81

What kind of paper the classifier reports this is: theoretical result 0.98 · evidence from argument 0.73.

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Figures

**Figure 1.** The string drops to the horizon first before spreadi

**Figure 2.** For L > Lcrit, there is no volume-minimizing D2 brane configuration connection the m- ¯m pair the correlation function vanishes identically. Once again, this is because the loops are contractible and the string stretched between the loops becomes classically unstable beyond the critical distance (

**Figure 3.** For L > Lcrit, there is no area-minimizing string worldsheet connecting the two Wilson loops. The critical distance Lcrit is determined by the size of the loop. distance L between the circles and the radius R0 determined by the relation R0 = Rmincosh L 2Rmin . (15) When the two loops coincide (L = 0), obviously this formula gives Rmin = R0. As one increases L, the minimum radius Rmin decreases. As shown in

**Figure 4.** For 0 < L < 1.3525R0, the solid curve R = Rmincosh(L/2Rmin) intersects twice with the dotted line R = R0, determining the minimum radius Rmin of the catenoid. For L > Lcrit, there is no intersection, indicating that a catenoid solution does not exist. the first order. What does this mean for the Wilson loop correlation function? When the distance between the loops C1 and C2 is less than the critical distance L < Lcrit, the main contribution to the connected part of the correlation function hW(C1)W(C2)i comes from the classical string connecting C1 and C2. At L = Lcrit, the string…

**Figure 5.** The string worldsheet connecting the Wilson loops

**Figure 6.** The glueball in the strong coupling lattice QCD.

**Figure 7.** When θ/2π is a rational number, one can find a contractible cycle on the torus. It is interesting to generalize the discussion of the previous section to the case of QCD4 with non-zero θ parameter. Its M Theory dual can be constructed as follows. The θ parameter couples to R trF ∧F in four dimensions, which is the D0 brane charge on the D4 brane. Therefore, if we view QCD4 as the high temperature theory of the theory in five dimensions, θ can be interpreted as the chemical potential for D0 branes. In M Theory, this is geometrically realized as a rotation of the supersymmetric circle

**Figure 8.** In the Schwarzschild geometry, there is no point wh

**Figure 9.** Baryon is constructed as N strings joining together at a point in the bulk. Thus, in both the conformal and confining cases, a baryon is constructed as N heavy quarks joined together by N open strings ending at a point in the AdS geometry. The total energy of the baryon is the sum of the geodesic length of the strings. In the confining case, it is proportional to a sum of four-dimensional distances between the quarks and the location of the string junction (projected to R4 ). In the conformal case, it is a sum of (distance)−1 . Although the location of the string junction is dynamic

**Figure 10.** It is energetically favorable to move the

**Figure 11.** A similar configuration in the confining case costs

Figures reproduced from arXiv:hep-th/9805129 by the authors.

References

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The |G|-fold degeneracy of supersymmetric AdS5 black hole index saddles is fixed by the flux-quantized BF coupling of the bulk one-form symmetry and persists unmodified in the decompactified black-brane limit.
Higher Form Symmetries TFT in 6d
hep-th 2022-03 conditional novelty 6.0 of 10

The 2-form and 1-form symmetries of rank-1 6d (1,0) theories mix into a 3-group, and their seven-dimensional symmetry TFT yields a mixed anomaly in the circle-compactified 5d theory.
Holography, 1-Form Symmetries, and Confinement
hep-th 2021-04 accept novelty 6.0 of 10

The 5d supergravity dual of N=1 SU(M) Yang-Mills carries topological couplings that encode the Z_M 1-form symmetry, its mixed anomaly with chiral symmetry, and the 4d TQFT of the confining vacua.
Discrete and higher-form symmetries in SCFTs from wrapped M5-branes
hep-th 2020-07 conditional novelty 6.0 of 10

Different boundary conditions on bulk BF terms produce dual 4d SCFTs with distinct discrete 0-, 1-, and 2-form global symmetries, and the inflow anomaly polynomial encodes their 't Hooft anomalies.
Cool baryon and quark matter in holographic QCD
hep-ph 2019-03 conditional novelty 6.0 of 10

Adding baryons to the V-QCD holographic model through a homogeneous non-Abelian bulk gauge field yields a three-phase cold dense matter diagram whose baryonic equation of state is stiffer than conformal.
Generalized global symmetries and holography
hep-th 2017-07 conditional novelty 6.0 of 10

Discrete and continuous higher-form global symmetries in four-dimensional field theories are shown to be dual to bulk antisymmetric tensor gauge fields, with the global form of the gauge group encoded in boundary conditions.
From holography towards real-world nuclear matter
hep-ph 2015-05 conditional novelty 6.0 of 10

In the Sakai-Sugimoto model, an instanton gas gives chiral restoration at high density but a second-order baryon onset, while a homogeneous gauge ansatz gives a first-order onset at finite coupling but no chiral restoration.
Gregory-Laflamme as the confinement/deconfinement transition in holographic QCD
hep-th 2011-07 conditional novelty 6.0 of 10

The deconfined phase of holographic QCD is dual to a localized solitonic D3 brane produced by a Gregory-Laflamme transition, not to the black D4 brane, because only the former carries the correct centre-symmetry realization.
Baryons from instantons in holographic QCD
hep-th 2007-01 conditional novelty 6.0 of 10

In the D4/D8 holographic QCD model, a unit-baryon-number soliton is a BPST instanton whose size is stabilized by the Chern-Simons term, and quantizing its collective coordinates yields a baryon mass formula with the o...
Aspects of Holographic Entanglement Entropy
hep-th 2006-05 conditional novelty 6.0 of 10

Entanglement entropy in a conformal field theory equals the area of a minimal surface in its dual anti-de Sitter space, divided by four times Newton's constant.
Multiply wound Polyakov loops at strong coupling
hep-th 2006-03 conditional novelty 6.0 of 10

Multiply wound Polyakov-Maldacena loops in strongly coupled N=4 super Yang-Mills receive D5-brane corrections of order k^{5/3}/N^{2/3}, hinting at a Gross-Witten-like transition.
All-genus calculation of Wilson loops using D-branes
hep-th 2005-01 accept novelty 6.0 of 10

A D3-brane carrying electric flux in AdS5 reproduces the circular Wilson loop's leading strong-coupling result and, in one stroke, all its higher-genus corrections, matching a Gaussian matrix model.
The Black Hole Singularity in AdS/CFT
hep-th 2003-06 conditional novelty 6.0 of 10

In five-dimensional AdS Schwarzschild the black hole singularity shows up as a singularity at a finite boundary time on a secondary sheet of the analytically continued two-point correlator.
Glueball Spectrum for QCD from AdS Supergravity Duality
hep-th 2000-03 conditional novelty 6.0 of 10

The complete glueball mass spectrum of the AdS7 black hole dual of QCD4 is computed and shown to match the spin and parity pattern of lattice QCD at the qualitative level.
Six-Dimensional Supergravity on S^3 X AdS_3 and 2d Conformal Field Theory
hep-th 1998-06 conditional novelty 6.0 of 10

The Kaluza-Klein spectrum of 6d supergravity on S^3 x AdS_3 agrees with the K3^N/S_N orbifold CFT, and the non-chiral primaries Vafa counted via the elliptic genus arise as products of descendants of chiral primaries.
Information Spreading in Diffusion Models from Effective Field Theory
hep-th 2026-08 conditional novelty 5.0 of 10

Near the noise endpoint, the reverse process of a convolutional diffusion model is governed by a heat equation, so pixel mutual information grows diffusively with the self-similar variable r²/ᾱ_t.
Wilson loops on the Coulomb branch of $N=4$ super-Yang-Mills
hep-th 2025-12 unverdicted novelty 5.0 of 10

Holographic minimal-surface calculation maps the Gross-Ooguri phase transition for circular Wilson loops on the Coulomb branch and indicates tree-level exactness for the straight line.
Glueball Decay Rates in the Witten-Sakai-Sugimoto Model
hep-ph 2015-01 conditional novelty 5.0 of 10

In the Witten-Sakai-Sugimoto model the predominantly dilatonic scalar mode at 1487 MeV has decay rates compatible with a glueball component of f0(1500) or f0(1710), while the lighter exotic mode is far too broad.
Kinematical and Dynamical Aspects of Higher-Spin Bound-State Equations in Holographic QCD
hep-ph 2013-01 conditional novelty 5.0 of 10

A single effective action in a space asymptotic to anti-de Sitter yields bound-state wave equations for hadrons of arbitrary spin, with the geometry supplying light-front kinematics and its deformation supplying confinement.
Hadronic Form Factor Models and Spectroscopy Within the Gauge/Gravity Correspondence
hep-ph 2012-03 conditional novelty 5.0 of 10

A light-front mapping to warped AdS space reproduces the light-hadron spectrum and elastic and transition form factors with one gap scale, though the baryon mass rules are fitted rather than derived.
Spatially Modulated Phase in Holographic Quark-Gluon Plasma
hep-th 2010-11 conditional novelty 5.0 of 10

The Chern-Simons term on D8-branes in the Sakai-Sugimoto model destabilizes the homogeneous quark-gluon plasma above a critical baryon density, producing a spatially modulated phase.
Holographic Baryons : Static Properties and Form Factors from Gauge/String Duality
hep-th 2008-06 conditional novelty 5.0 of 10

A gauge-invariant definition of chiral currents in the Sakai-Sugimoto holographic QCD model yields baryon charge radii, magnetic moments, axial couplings, and form factors that agree with experiment at the 20-30% leve...
Universality of k-string Tensions from Holography and the Lattice
hep-th 2006-04 conditional novelty 5.0 of 10

Wilson loop expectation values in SU(N) gauge theory take the form dim R exp(-sigma_k A), with the string tension depending only on the N-ality k, not on the specific representation.
Advances in the holographic description of hot and dense QCD matter
hep-ph 2026-08 accept novelty 4.0 of 10

A review of the QCD-like phase diagram from the Witten-Sakai-Sugimoto holographic model, including new metastable phases and improved descriptions of baryonic matter.
Thermodynamics of Heavy Quarkonium in a Bayesian Holographic QCD model
hep-ph 2025-08 conditional novelty 4.0 of 10

In a Bayesian holographic QCD model, rising temperature and baryon chemical potential lower the quarkonium dissociation distance and make binding energy vanish at smaller separation, promoting dissociation.
Dilatonic states, phase transitions, and criticality in holography
hep-th 2026-07 accept novelty 3.0 of 10

A review of holographic examples indicating that a light dilaton appears near critical endpoints of first-order zero-temperature phase transitions, with explicit but lower-dimensional demonstrations.
Holographic modeling of nuclear matter and neutron stars
hep-ph 2021-10 accept novelty 3.0 of 10

Hybrid equations of state combining effective field theory at low density with the holographic V-QCD model at high density are feasible and yield neutron star radii of roughly 11 to 13 km, consistent with current mass...
Light-Front Holographic QCD and Emerging Confinement
hep-ph 2014-07 conditional novelty 3.0 of 10

A harmonic light-front confinement potential, fixed by a conformal-algebra construction and mapped to a soft-wall AdS dilaton, yields a massless pion and linear Regge trajectories with one fitted scale.
Large N Field Theories, String Theory and Gravity
hep-th 1999-05 accept novelty 3.0 of 10

The review argues and assembles the evidence that N=4 supersymmetric Yang-Mills theory in four dimensions is dual to type IIB string theory on AdS5 x S5, and surveys what the duality predicts.
Holographic Approaches to Hadron Structure
hep-ph 2026-10 unverdicted novelty 1.0 of 10

A review of holographic QCD that compiles top-down and bottom-up model predictions for hadron spectra, interactions, form factors, and gluonic states, with no new primary result.

How the literature uses it

89 arXiv papers cite this in 143 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 · 91 sentences without a confident label

Builds on it 1 paper

This is an appropriate extension of a b.v. construction proposed by Witten for $AdS_5×S^5$ [ref] and its generalization to confining backgrounds [ref] .

Baryonic Popcorn · Baryons in the Sakai-Sugimoto model · 0.97

Uses its method or tool 2 papers

The construction involves the Witten baryon vertex on the internal space, acting as a heavy bag to absorb the $N_c$ units of flux, generated by the $N_c$ fundamental strings initiating from the boundary representing $N_c$ number of heavy quarks, ending on the brane vertex [ref] .

Baryons under Strong Magnetic Fields or in Theories with Space-dependent $\theta$-term · Methodology and Results · 0.84
This is done by reducing on $M_3$ the topological coupling of IIA supergravity, including Chern-Simons couplings related to the brane sources, see [ref] for similar examples.

Higher Form Symmetries TFT in 6d · Introduction · 0.80

Compares with it 1 paper

This gives a new Gross-Ooguri-like phase transition, analogous to the original connected/disconnected worldsheet transition [ref] , but driven here by the geometry of a single cusp relative to an interface.

Positivity constraints on the dynamics of cusped impurities in CFTs · Introduction and summary of results · 0.82

Cites it as background 41 papers

The talk is based on our recent work [ref] .], we will focus on holographic QCD from D4 branes [ref] .

What is the gravity dual of the confinement/deconfinement transition in holographic QCD? · Introduction · 0.95
Baryons were introduced in the model in [ref] , while in the context of AdS/CFT correspondence description of baryons in terms of D-branes has a much longer history [ref] .

Holographic Nuclei · Gauge theory on nucleus · 0.93
Baryons generically correspond to, in the gravity description of large $N$ QCD-like theories, D-branes wrapping nontrivial cycles (called baryon vertices) [ref] .

Holographic Nuclei : Supersymmetric Examples · Gauge/string duality and heavy nuclei · 0.80

Discussion

Disagree with the review, or know something it missed? Leave a comment, highlight any passage above to comment on it, or challenge this review formally.

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