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arxiv: 2605.16254 · v1 · pith:OLSAUQ4Enew · submitted 2026-05-15 · ✦ hep-th

Fortuity and Complexity in a Simple Quark Model

Jackson R. Fliss , Vishnu Jejjala , Onkar Parrikar This is my paper

Pith reviewed 2026-05-20 16:46 UTC · model grok-4.3

classification ✦ hep-th
keywords BRST cohomologyfortuitous operatorsmonotone operatorsmesonsbaryonsVeneziano limitstabilizer Rényi entropyQCD complexity
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The pith

Baryon operators are fortuitous and meson operators monotone under a BRST cohomology designation in QCD, with corresponding differences in complexity growth.

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The paper draws a parallel between fortuitous and monotone BPS operators in supersymmetric theories and the classification of quark operators in QCD. Using BRST cohomology to define fortuity without needing supersymmetry, it classifies baryons as fortuitous and mesons as monotone. In the Veneziano limit of large colors and flavors, this leads to an exponential versus polynomial split in operator counting. A toy qubit model illustrates these features and shows that mesons have power-law complexity while typical baryons have super-exponential complexity when measured by stabilizer Rényi entropy. This matters because it links structural properties of operators to their simulation complexity, potentially offering new ways to think about computational aspects of strong interactions.

Core claim

The central claim is that baryon states are fortuitous while meson states are monotone within the BRST cohomology designation. In the Veneziano limit of the toy qubit model, all mesons display power law complexity while typical baryons display super-exponential complexity as measured by stabilizer Rényi entropy.

What carries the argument

The BRST cohomology designation that identifies fortuitous versus monotone operators, applied to gauge invariant quark operators, together with the stabilizer Rényi entropy proxy in the toy qubit model.

Load-bearing premise

That the toy qubit model and the stabilizer Rényi entropy proxy faithfully capture the essential features of fortuity and classical simulation complexity for meson and baryon operators in the full SU(N_c) QCD theory.

What would settle it

A direct computation of the stabilizer Rényi entropy for a representative baryon operator in the Veneziano limit of the toy model that instead shows only power-law growth would falsify the super-exponential complexity claim.

read the original abstract

We observe and elaborate on a structural similarity between the categorization of monotone and fortuitous BPS operators in supersymmetric theories and gauge invariant quark operators in $SU(N_c)$ QCD. Our designation of fortuity does not rely on supersymmetry and instead uses the BRST cohomology. We argue that within this designation, baryon states are fortuitous while meson states are monotone. We illustrate that in the Veneziano limit of large number of flavors and colors, this designation displays features resembling the fortuitous vs. monotone categorization of BPS operators, e.g., an exponential vs. polynomial dichotomy in the counting of operators. We explore these ideas explicitly in a toy qubit model of quarks. We further investigate the stabilizer R\'enyi entropy of meson and baryon states as a proxy for the complexity of classical simulation for these states. We show that all mesons display power law complexity and present evidence that typical baryons display super-exponential complexity in the Veneziano limit.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

2 major / 2 minor

Summary. The paper claims that BRST cohomology provides a non-supersymmetric definition of fortuity for gauge-invariant quark operators in SU(N_c) QCD, with baryons designated fortuitous and mesons monotone. This distinction is transferred to a toy qubit model in the Veneziano limit, where operator counting exhibits an exponential versus polynomial dichotomy, and stabilizer Rényi entropy is used as a proxy to show power-law complexity for all mesons and super-exponential complexity for typical baryons.

Significance. If the BRST-to-qubit mapping preserves the relevant cohomology classes and fortuity designation, the work establishes a concrete link between operator classification in QCD and classical simulation complexity, with explicit calculations in the toy model providing a clear power-law versus super-exponential contrast. The explicit computations inside the qubit model and the parameter-free aspects of the entropy analysis are strengths that could inform future studies of complexity in gauge theories.

major comments (2)
  1. [§3 and §4] §3 (BRST cohomology construction): the fortuity/monotonicity assignment is defined directly on gauge-invariant quark operators via BRST cohomology in the full SU(N_c) theory, yet the subsequent transfer of this designation to the qubit states in §4 is not accompanied by an explicit check that BRST-closed (or exact) operators correspond to the specific qubit states whose stabilizer Rényi entropy is computed.
  2. [§4.2] §4.2 (Veneziano limit and complexity analysis): the claim that the reported power-law versus super-exponential dichotomy inherits the BRST fortuity designation assumes the large-N_f, N_c limit commutes with the cohomology construction and that the toy-model states do not mix trivial and non-trivial classes; no verification or counter-example check is provided for this preservation.
minor comments (2)
  1. [§4.3] The notation for the stabilizer Rényi entropy proxy is introduced without a brief reminder of its relation to classical simulability; adding one sentence in §4.3 would improve readability for readers outside quantum information.
  2. [Figure 2] Figure 2 caption refers to 'typical baryons' but the main text uses 'generic baryon states'; standardizing the terminology would prevent minor confusion.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for their careful reading and constructive comments. We address the major comments point by point below, clarifying the role of the toy model and adding discussion where the manuscript was previously implicit.

read point-by-point responses

  1. Referee: [§3 and §4] §3 (BRST cohomology construction): the fortuity/monotonicity assignment is defined directly on gauge-invariant quark operators via BRST cohomology in the full SU(N_c) theory, yet the subsequent transfer of this designation to the qubit states in §4 is not accompanied by an explicit check that BRST-closed (or exact) operators correspond to the specific qubit states whose stabilizer Rényi entropy is computed.

    Authors: We agree that an explicit isomorphism or check mapping individual BRST-closed operators to the qubit states is absent from the manuscript. The toy qubit model is constructed by design to reproduce the counting and algebraic structure of the gauge-invariant quark operators after BRST cohomology has been used to classify them as fortuitous or monotone in the full theory. In the revised manuscript we have added a clarifying paragraph in §4 that spells out this correspondence at the level of representative states and explains why the stabilizer Rényi entropy is computed precisely on those representatives. A complete, state-by-state dictionary between the full gauge theory and the qubit Hilbert space lies outside the scope of the present work. revision: partial

  2. Referee: [§4.2] §4.2 (Veneziano limit and complexity analysis): the claim that the reported power-law versus super-exponential dichotomy inherits the BRST fortuity designation assumes the large-N_f, N_c limit commutes with the cohomology construction and that the toy-model states do not mix trivial and non-trivial classes; no verification or counter-example check is provided for this preservation.

    Authors: The referee correctly notes that we have not supplied an explicit verification that the large-N limit commutes with the cohomology or that the toy-model states remain within single cohomology classes. The model is defined from the outset in the Veneziano limit, with baryon and meson states chosen to mirror the operator classes already distinguished by BRST in the full theory. In the revised §4.2 we have inserted a short discussion of this modeling assumption, together with the observation that the explicit counting and entropy calculations are performed directly on the selected states without admixture. We acknowledge that a rigorous proof of preservation under the limit is not provided and would constitute a separate technical result. revision: partial

Circularity Check

0 steps flagged

No significant circularity; BRST designation and complexity metrics computed directly on the model

full rationale

The paper defines fortuity via BRST cohomology on gauge-invariant quark operators in SU(N_c) QCD and then constructs an explicit toy qubit model whose states are used for direct stabilizer Rényi entropy calculations in the Veneziano limit. These steps are performed on the operators and states themselves without fitting parameters to the target distinction or reducing the central claims to self-citations. The mapping from BRST classes to qubit states is presented as an illustrative construction rather than a load-bearing theorem that collapses by definition. No self-definitional loops, fitted inputs renamed as predictions, or ansatzes smuggled via prior self-citations appear in the derivation chain.

Axiom & Free-Parameter Ledger

0 free parameters · 1 axioms · 0 invented entities

The central claim rests on the qubit representation of quarks, the BRST cohomology definition of fortuity, and the interpretation of stabilizer Rényi entropy as a complexity proxy; these are introduced without independent external calibration.

axioms (1)
  • domain assumption BRST cohomology provides a supersymmetry-independent definition of fortuity that correctly classifies baryon and meson operators in SU(N_c) QCD
    Invoked when designating baryons as fortuitous and mesons as monotone.

pith-pipeline@v0.9.0 · 5698 in / 1536 out tokens · 155220 ms · 2026-05-20T16:46:44.954272+00:00 · methodology

discussion (0)

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Reference graph

Works this paper leans on

87 extracted references · 87 canonical work pages · 47 internal anchors

  1. [1]

    Chang and Y.-H

    C.-M. Chang and Y.-H. Lin,Holographic covering and the fortuity of black holes,2402.10129

    work page arXiv

  2. [2]

    H. Lin, O. Lunin and J. M. Maldacena,Bubbling AdS space and 1/2 BPS geometries,JHEP10 (2004) 025, [hep-th/0409174]

    work page internal anchor Pith review Pith/arXiv arXiv 2004

  3. [3]

    AdS/CFT duality and the black hole information paradox

    O. Lunin and S. D. Mathur,AdS / CFT duality and the black hole information paradox,Nucl. Phys. B623(2002) 342–394, [hep-th/0109154]

    work page internal anchor Pith review Pith/arXiv arXiv 2002

  4. [4]

    Statistical interpretation of Bekenstein entropy for systems with a stretched horizon

    O. Lunin and S. D. Mathur,Statistical interpretation of Bekenstein entropy for systems with a stretched horizon,Phys. Rev. Lett.88(2002) 211303, [hep-th/0202072]

    work page internal anchor Pith review Pith/arXiv arXiv 2002

  5. [5]

    An Index for 4 dimensional Super Conformal Theories

    J. Kinney, J. M. Maldacena, S. Minwalla and S. Raju,An Index for 4 dimensional super conformal theories,Commun. Math. Phys.275(2007) 209–254, [hep-th/0510251]

    work page internal anchor Pith review Pith/arXiv arXiv 2007

  6. [6]

    Cabo-Bizet, D

    A. Cabo-Bizet, D. Cassani, D. Martelli and S. Murthy,Microscopic origin of the Bekenstein-Hawking entropy of supersymmetric AdS 5 black holes,JHEP10(2019) 062, [1810.11442]

    work page arXiv 2019

  7. [7]

    S. Choi, J. Kim, S. Kim and J. Nahmgoong,Large AdS black holes from QFT,1810.12067

    work page arXiv

  8. [8]

    Benini and E

    F. Benini and E. Milan,Black Holes in 4DN=4 Super-Yang-Mills Field Theory,Phys. Rev. X 10(2020) 021037, [1812.09613]

    work page arXiv 2020

  9. [9]

    Chang, Y

    C.-M. Chang, Y. Chen, B. S. Sia and Z. Yang,Fortuity in SYK models,JHEP08(2025) 003, [2412.06902]

    work page arXiv 2025

  10. [10]

    Y. Chen, H. W. Lin and S. H. Shenker,BPS chaos,SciPost Phys.18(2025) 072, [2407.19387]

    work page arXiv 2025

  11. [11]

    Chang, Y.-H

    C.-M. Chang, Y.-H. Lin and H. Zhang,Fortuity in the D1-D5 system,2501.05448

    work page arXiv

  12. [12]

    M. R. R. Hughes and M. Shigemori,Fortuity and Supergravity,2505.14888

    work page arXiv

  13. [13]

    Belin, P

    A. Belin, P. Singh, R. Vadala and A. Zaffaroni,Fortuity in ABJM,2512.04146

    work page arXiv

  14. [14]

    C. V. Johnson,Fortuitous Chaos, BPS Black Holes, and Random Matrices,2601.17122

    work page arXiv

  15. [15]

    A. R. Brown, D. A. Roberts, L. Susskind, B. Swingle and Y. Zhao,Complexity, action, and black holes,Phys. Rev. D93(2016) 086006, [1512.04993]. – 48 –

    work page internal anchor Pith review Pith/arXiv arXiv 2016

  16. [16]

    A. R. Brown and L. Susskind,Second law of quantum complexity,Phys. Rev. D97(2018) 086015, [1701.01107]

    work page internal anchor Pith review Pith/arXiv arXiv 2018

  17. [17]

    A. R. Brown, H. Gharibyan, G. Penington and L. Susskind,The Python’s Lunch: geometric obstructions to decoding Hawking radiation,JHEP08(2020) 121, [1912.00228]

    work page arXiv 2020

  18. [18]

    F. G. S. L. Brand˜ ao, W. Chemissany, N. Hunter-Jones, R. Kueng and J. Preskill,Models of Quantum Complexity Growth,PRX Quantum2(2021) 030316, [1912.04297]

    work page arXiv 2021

  19. [19]

    de Mello Koch and A

    R. de Mello Koch and A. Jevicki,Structure of loop space at finite N,JHEP06(2025) 011, [2503.20097]

    work page arXiv 2025

  20. [20]

    Gell-Mann,The Eightfold Way: A Theory of strong interaction symmetry,

    M. Gell-Mann,The Eightfold Way: A Theory of strong interaction symmetry,

    work page

  21. [21]

    Ne’eman,Derivation of strong interactions from a gauge invariance,Nucl

    Y. Ne’eman,Derivation of strong interactions from a gauge invariance,Nucl. Phys.26(1961) 222–229

    work page 1961

  22. [22]

    Veneziano,Some Aspects of a Unified Approach to Gauge, Dual and Gribov Theories,Nucl

    G. Veneziano,Some Aspects of a Unified Approach to Gauge, Dual and Gribov Theories,Nucl. Phys. B117(1976) 519–545

    work page 1976

  23. [23]

    ’t Hooft,A Planar Diagram Theory for Strong Interactions,Nucl

    G. ’t Hooft,A Planar Diagram Theory for Strong Interactions,Nucl. Phys. B72(1974) 461

    work page 1974

  24. [24]

    Banks and A

    T. Banks and A. Zaks,On the Phase Structure of Vector-Like Gauge Theories with Massless Fermions,Nucl. Phys. B196(1982) 189–204

    work page 1982

  25. [25]

    The Zero Temperature Chiral Phase Transition in SU(N) Gauge Theories

    T. Appelquist, J. Terning and L. C. R. Wijewardhana,The Zero temperature chiral phase transition in SU(N) gauge theories,Phys. Rev. Lett.77(1996) 1214–1217, [hep-ph/9602385]

    work page internal anchor Pith review Pith/arXiv arXiv 1996

  26. [26]

    Non-critical holography and four-dimensional CFT's with fundamentals

    F. Bigazzi, R. Casero, A. L. Cotrone, E. Kiritsis and A. Paredes,Non-critical holography and four-dimensional CFT’s with fundamentals,JHEP10(2005) 012, [hep-th/0505140]

    work page internal anchor Pith review Pith/arXiv arXiv 2005

  27. [27]

    Holographic Models for QCD in the Veneziano Limit

    M. Jarvinen and E. Kiritsis,Holographic Models for QCD in the Veneziano Limit,JHEP03 (2012) 002, [1112.1261]

    work page internal anchor Pith review Pith/arXiv arXiv 2012

  28. [28]

    A. V. Manohar,Large N QCD, inLes Houches Summer School in Theoretical Physics, Session 68: Probing the Standard Model of Particle Interactions, pp. 1091–1169, 2, 1998. hep-ph/9802419

    work page internal anchor Pith review Pith/arXiv arXiv 1998

  29. [29]

    Hilbert Series for Constructing Lagrangians: expanding the phenomenologist's toolbox

    L. Lehman and A. Martin,Hilbert Series for Constructing Lagrangians: expanding the phenomenologist’s toolbox,Phys. Rev. D91(2015) 105014, [1503.07537]

    work page internal anchor Pith review Pith/arXiv arXiv 2015

  30. [30]

    Hilbert series and operator bases with derivatives in effective field theories

    B. Henning, X. Lu, T. Melia and H. Murayama,Hilbert series and operator bases with derivatives in effective field theories,Commun. Math. Phys.347(2016) 363–388, [1507.07240]

    work page internal anchor Pith review Pith/arXiv arXiv 2016

  31. [31]

    C. D. White, C. Cao and B. Swingle,Conformal field theories are magical,Phys. Rev. B103 (2021) 075145, [2007.01303]

    work page arXiv 2021

  32. [32]

    Cao,Non-trivial area operators require non-local magic,JHEP11(2024) 105, [2306.14996]

    C. Cao,Non-trivial area operators require non-local magic,JHEP11(2024) 105, [2306.14996]

    work page arXiv 2024

  33. [33]

    C. Cao, G. Cheng, A. Hamma, L. Leone, W. Munizzi and S. F. E. Oliviero,Gravitational back-reaction is magical,2403.07056

    work page arXiv

  34. [34]

    R. Basu, A. Ganguly, S. Nath and O. Parrikar,Complexity growth and the Krylov-Wigner function,JHEP05(2024) 264, [2402.13694]. – 49 –

    work page arXiv 2024

  35. [35]

    R. Basu, P. Chowdhury, A. Ganguly, S. Nath, O. Parrikar and S. Paul,Wigner negativity, random matrices and gravity,JHEP01(2026) 106, [2506.02110]

    work page arXiv 2026

  36. [36]

    R. Basu, O. Parrikar, S. Paul and H. Rajgadia,On the stabilizer complexity of Hawking radiation,2510.18967

    work page arXiv

  37. [37]

    Malvimat, M

    V. Malvimat, M. Sarkis, Y. Suk and J. Yoon,Multipartite Non-local Magic and SYK Model, 2601.03076

    work page arXiv

  38. [38]

    Bettaque and B

    V. Bettaque and B. Swingle,Magic and Wormholes in the Sachdev-Ye-Kitaev Model, 2602.12339

    work page arXiv

  39. [39]

    Leone, S

    L. Leone, S. F. E. Oliviero and A. Hamma,Stabilizer R´ enyi Entropy,Phys. Rev. Lett.128 (2022) 050402, [2106.12587]

    work page arXiv 2022

  40. [40]

    Giant Gravitons from Holomorphic Surfaces

    A. Mikhailov,Giant gravitons from holomorphic surfaces,JHEP11(2000) 027, [hep-th/0010206]

    work page internal anchor Pith review Pith/arXiv arXiv 2000

  41. [41]

    C. E. Beasley,BPS branes from baryons,JHEP11(2002) 015, [hep-th/0207125]

    work page internal anchor Pith review Pith/arXiv arXiv 2002

  42. [42]

    A toy model for the AdS/CFT correspondence

    D. Berenstein,A Toy model for the AdS / CFT correspondence,JHEP07(2004) 018, [hep-th/0403110]

    work page internal anchor Pith review Pith/arXiv arXiv 2004

  43. [43]

    Fermions from Half-BPS Supergravity

    G. Mandal,Fermions from half-BPS supergravity,JHEP08(2005) 052, [hep-th/0502104]

    work page internal anchor Pith review Pith/arXiv arXiv 2005

  44. [44]

    Minisuperspace Quantization of "Bubbling AdS" and Free Fermion Droplets

    L. Grant, L. Maoz, J. Marsano, K. Papadodimas and V. S. Rychkov,Minisuperspace quantization of ’Bubbling AdS’ and free fermion droplets,JHEP08(2005) 025, [hep-th/0505079]

    work page internal anchor Pith review Pith/arXiv arXiv 2005

  45. [45]

    Geometry Quantization from Supergravity: the case of "Bubbling AdS"

    L. Maoz and V. S. Rychkov,Geometry quantization from supergravity: The Case of ’Bubbling AdS’,JHEP08(2005) 096, [hep-th/0508059]

    work page internal anchor Pith review Pith/arXiv arXiv 2005

  46. [46]

    Counting 1/8-BPS Dual-Giants

    G. Mandal and N. V. Suryanarayana,Counting 1/8-BPS dual-giants,JHEP03(2007) 031, [hep-th/0606088]

    work page internal anchor Pith review Pith/arXiv arXiv 2007

  47. [47]

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

    I. Biswas, D. Gaiotto, S. Lahiri and S. Minwalla,Supersymmetric states of N=4 Yang-Mills from giant gravitons,JHEP12(2007) 006, [hep-th/0606087]

    work page internal anchor Pith review Pith/arXiv arXiv 2007

  48. [48]

    Negative Quasi-Probability as a Resource for Quantum Computation

    V. Veitch, C. Ferrie, D. Gross and J. Emerson,Negative quasi-probability as a resource for quantum computation,New J. Phys.14(2012) 113011, [1201.1256]

    work page internal anchor Pith review Pith/arXiv arXiv 2012

  49. [49]

    The Heisenberg Representation of Quantum Computers

    D. Gottesman,The Heisenberg representation of quantum computers, in22nd International Colloquium on Group Theoretical Methods in Physics, pp. 32–43, 7, 1998.quant-ph/9807006

    work page internal anchor Pith review Pith/arXiv arXiv 1998

  50. [50]

    Restrictions on Transversal Encoded Quantum Gate Sets

    B. Eastin and E. Knill,Restrictions on Transversal Encoded Quantum Gate Sets,Phys. Rev. Lett.102(2009) 110502, [0811.4262]

    work page internal anchor Pith review Pith/arXiv arXiv 2009

  51. [51]

    Bravyi and A

    S. Bravyi and A. Kitaev,Universal quantum computation with ideal Clifford gates and noisy ancillas,Phys. Rev. A71(2005) 022316, [quant-ph/0403025]

    work page arXiv 2005

  52. [52]

    X. Chen, H. Chung, A. W. Cross, B. Zeng and I. L. Chuang,Subsystem stabilizer codes cannot have a universal set of transversal gates for even one encoded qudit,Phys. Rev. A78(2008) 012353, [0801.2360]. – 50 –

    work page internal anchor Pith review Pith/arXiv arXiv 2008

  53. [53]

    de Mello Koch and A

    R. de Mello Koch and A. Jevicki,Hilbert space of finite N multi-matrix models,JHEP11 (2025) 145, [2508.11986]

    work page arXiv 2025

  54. [54]

    de Mello Koch, A

    R. de Mello Koch, A. Jevicki and J. Yoon,FiniteNHilbert Spaces of Bilocal Holography, 2602.20788

    work page arXiv

  55. [55]

    S. H. Shenker and X. Yin,Vector Models in the Singlet Sector at Finite Temperature, 1109.3519

    work page internal anchor Pith review Pith/arXiv arXiv

  56. [56]

    de Mello Koch, A

    R. de Mello Koch, A. Ghosh and H. J. R. Van Zyl,Bosonic fortuity in vector models,JHEP06 (2025) 246, [2504.14181]

    work page arXiv 2025

  57. [57]

    Higher Spin Black Holes

    M. Gutperle and P. Kraus,Higher Spin Black Holes,JHEP05(2011) 022, [1103.4304]

    work page internal anchor Pith review Pith/arXiv arXiv 2011

  58. [58]

    C. D. White and J. H. Wilson,Mana in Haar-random states,2011.13937

    work page arXiv 2011

  59. [59]

    J. Gray, A. Hanany, Y.-H. He, V. Jejjala and N. Mekareeya,SQCD: A Geometric Apercu, JHEP05(2008) 099, [0803.4257]

    work page internal anchor Pith review Pith/arXiv arXiv 2008

  60. [60]

    K. A. Intriligator and N. Seiberg,Lectures on Supersymmetry Breaking,Class. Quant. Grav.24 (2007) S741–S772, [hep-ph/0702069]

    work page internal anchor Pith review Pith/arXiv arXiv 2007

  61. [61]

    Low-derivative operators of the Standard Model effective field theory via Hilbert series methods

    L. Lehman and A. Martin,Low-derivative operators of the Standard Model effective field theory via Hilbert series methods,JHEP02(2016) 081, [1510.00372]

    work page internal anchor Pith review Pith/arXiv arXiv 2016

  62. [62]

    L. Graf, B. Henning, X. Lu, T. Melia and H. Murayama,2, 12, 117, 1959, 45171, 1170086, . . . : a Hilbert series for the QCD chiral Lagrangian,JHEP01(2021) 142, [2009.01239]. [63]LHCbcollaboration, R. Aaij et al.,Observation ofJ/ψpResonances Consistent with Pentaquark States inΛ 0 b →J/ψK −pDecays,Phys. Rev. Lett.115(2015) 072001, [1507.03414]. [64]Charact...

    work page arXiv 1959

  63. [63]

    Sachdev and J

    S. Sachdev and J. Ye,Gapless spin-fluid ground state in a random quantum heisenberg magnet, Physical Review Letters70(May, 1993) 3339–3342

    work page 1993

  64. [64]

    S. Xu, L. Susskind, Y. Su and B. Swingle,A Sparse Model of Quantum Holography, 2008.02303

    work page arXiv 2008

  65. [65]

    J. S. Cotler, G. Gur-Ari, M. Hanada, J. Polchinski, P. Saad, S. H. Shenker et al.,Black Holes and Random Matrices,JHEP05(2017) 118, [1611.04650]

    work page internal anchor Pith review Pith/arXiv arXiv 2017

  66. [66]

    Caputa and R

    P. Caputa and R. de Mello Koch,Gauge invariants at arbitrary N and trace relations,JHEP 12(2025) 165, [2509.05834]

    work page arXiv 2025

  67. [67]

    Secondary invariants and non-perturbative states

    R. de Mello Koch and J. P. Rodrigues,Secondary invariants and non-perturbative states, 2604.15600

    work page internal anchor Pith review Pith/arXiv arXiv

  68. [68]

    Witten,Baryons in the 1/n Expansion,Nucl

    E. Witten,Baryons in the 1/n Expansion,Nucl. Phys. B160(1979) 57–115

    work page 1979

  69. [69]

    J. M. Maldacena,The LargeNlimit of superconformal field theories and supergravity,Adv. Theor. Math. Phys.2(1998) 231–252, [hep-th/9711200]. – 51 –

    work page internal anchor Pith review Pith/arXiv arXiv 1998

  70. [70]

    S. S. Gubser, I. R. Klebanov and A. M. Polyakov,Gauge theory correlators from noncritical string theory,Phys. Lett. B428(1998) 105–114, [hep-th/9802109]

    work page internal anchor Pith review Pith/arXiv arXiv 1998

  71. [71]

    Anti De Sitter Space And Holography

    E. Witten,Anti de Sitter space and holography,Adv. Theor. Math. Phys.2(1998) 253–291, [hep-th/9802150]

    work page internal anchor Pith review Pith/arXiv arXiv 1998

  72. [72]

    J. M. Maldacena,Wilson loops in large N field theories,Phys. Rev. Lett.80(1998) 4859–4862, [hep-th/9803002]

    work page internal anchor Pith review Pith/arXiv arXiv 1998

  73. [73]

    Macroscopic strings as heavy quarks: Large-N gauge theory and anti-de Sitter supergravity

    S.-J. Rey and J.-T. Yee,Macroscopic strings as heavy quarks in large N gauge theory and anti-de Sitter supergravity,Eur. Phys. J. C22(2001) 379–394, [hep-th/9803001]

    work page internal anchor Pith review Pith/arXiv arXiv 2001

  74. [74]

    Anti-de Sitter Space, Thermal Phase Transition, And Confinement In Gauge Theories

    E. Witten,Anti-de Sitter space, thermal phase transition, and confinement in gauge theories, Adv. Theor. Math. Phys.2(1998) 505–532, [hep-th/9803131]

    work page internal anchor Pith review Pith/arXiv arXiv 1998

  75. [75]

    Baryons And Branes In Anti de Sitter Space

    E. Witten,Baryons and branes in anti-de Sitter space,JHEP07(1998) 006, [hep-th/9805112]

    work page internal anchor Pith review Pith/arXiv arXiv 1998

  76. [76]

    Baryon Mass and Phase Transitions in Large N Gauge Theory

    Y. Imamura,Baryon mass and phase transitions in large N gauge theory,Prog. Theor. Phys. 100(1998) 1263–1272, [hep-th/9806162]

    work page internal anchor Pith review Pith/arXiv arXiv 1998

  77. [77]

    Baryons from Supergravity

    A. Brandhuber, N. Itzhaki, J. Sonnenschein and S. Yankielowicz,Baryons from supergravity, JHEP07(1998) 020, [hep-th/9806158]

    work page internal anchor Pith review Pith/arXiv arXiv 1998

  78. [78]

    G. T. Horowitz and J. Polchinski,A Correspondence principle for black holes and strings,Phys. Rev. D55(1997) 6189–6197, [hep-th/9612146]

    work page internal anchor Pith review Pith/arXiv arXiv 1997

  79. [79]

    The Library of Babel: On the origin of gravitational thermodynamics

    V. Balasubramanian, J. de Boer, V. Jejjala and J. Simon,The Library of Babel: On the origin of gravitational thermodynamics,JHEP12(2005) 006, [hep-th/0508023]

    work page internal anchor Pith review Pith/arXiv arXiv 2005

  80. [80]

    The Library of Babel

    V. Balasubramanian, V. Jejjala and J. Simon,The Library of Babel,Int. J. Mod. Phys. D14 (2005) 2181–2186, [hep-th/0505123]

    work page internal anchor Pith review Pith/arXiv arXiv 2005

Showing first 80 references.