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A general Tachyon-Chern-Simons action equates baryon number to the bulk instanton number for arbitrary quark masses.

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2026-07-31 05:58 UTC pith:QBHP5BBV

load-bearing objection Solid, explicit construction of the generic-tachyon Chern-Simons term that finally lets V-QCD handle unequal quark masses; baryon number = superconnection instanton number follows cleanly. the 2 major comments →

arxiv 2607.24915 v1 pith:QBHP5BBV submitted 2026-07-27 hep-th hep-phmath-phmath.MP

The Tachyon Chern-Simons action with a generic tachyon field, and baryons in V-QCD

Jean-Loup Raymond , Matti J\"arvinen , Elias Kiritsis , Francesco Nitti , Edwan Pr\'eau This is my paper
classification hep-th hep-phmath-phmath.MP
keywords holographic QCDTachyon-Chern-Simonssuperconnectionbaryonsflavor anomaliesSkyrme modelWess-Zumino-Witteninstanton number
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved

The pith

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

Holographic models of QCD need Chern-Simons terms to match global flavor anomalies, but those terms were previously known only when the tachyon (the bulk field dual to the quark bilinear) is proportional to a unitary matrix—essentially equal quark masses. This paper builds the Tachyon-Chern-Simons forms for a fully general complex tachyon matrix, covering unequal masses. With that action in hand, a baryon is realized as a bulk point defect where the tachyon ceases to be invertible; the boundary baryon number equals both the winding of a gauge-invariant three-form around the defect and the second Chern number of the superconnection in the bulk. The same construction yields a four-dimensional pion effective action that recovers the chiral Lagrangian, including the Skyrme term and the Wess-Zumino-Witten term with the correct color factor. A sympathetic reader cares because realistic QCD has flavor-dependent masses, and without the general topological term the holographic dual cannot consistently describe baryons or anomalies in that regime.

Core claim

For a generic complex tachyon matrix the Tachyon-Chern-Simons five-form, obtained from Quillen’s superconnection by a specific homotopy path, satisfies the descent equation from the Chern character, reduces to ordinary Chern-Simons when the tachyon vanishes, matches discrete symmetries and the QCD flavor anomaly with no infrared contribution, and implies that the baryon number of a massive-quark soliton equals both the defect winding of the gauge-invariant three-form and the bulk instanton number.

What carries the argument

Quillen’s superconnection and the homotopy path γ = I ∪ II ∪ III in the (a,b) plane of scaled gauge fields and tachyon; the path decomposes the five-form into a gauge-invariant bulk piece Ω⁰, a piece Ωᵇ localized on the non-invertible locus of the tachyon, and a closed topological piece Ωᶜ that generalizes the Witten term.

Load-bearing premise

The chosen integration path in superconnection space is the unique one that simultaneously kills infrared anomaly contributions and localizes the boundary piece on the non-invertible locus; other natural paths leave infrared boundary terms that would spoil anomaly matching unless extra infrared conditions are imposed by hand.

What would settle it

Construct a numerical baryon solution in the model with unequal quark masses and check whether the integrated boundary baryon charge equals minus one over four pi squared times the integral of the four-form part of the superconnection Chern character; a mismatch, or a nonzero infrared contribution to the flavor anomaly under the usual tachyon regularity condition, would falsify the claim.

Watch this falsifier — get emailed when new claim-graph text bears on it.

If this is right

  • Baryon and baryon-lattice solutions can be constructed at nonzero, flavor-dependent quark masses.
  • Simplified models of nuclear matter, including hyperonic matter, become accessible once different quark masses are allowed.
  • The extent of inhomogeneous instabilities in dense holographic QCD can be mapped with the correct mass-dependent topological term.
  • Anomalous transport (chiral magnetic and related effects) can be studied systematically once the general Tachyon-Chern-Simons action is included.
  • The four-dimensional pion effective action is fixed to the chiral Lagrangian with Skyrme and Wess-Zumino-Witten terms normalized by the number of colors.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

  • Once unequal masses are under control, the same defect classification by vanishing eigenvalues should organize multi-flavor solitons and their fusion rules.
  • The localization of topology on the non-invertible locus suggests that partial chiral restoration inside a baryon can be read off from which singular values of the tachyon vanish.
  • Extending the same superconnection construction to include curvature couplings would give a controlled holographic handle on mixed gauge-gravitational anomalies and the chiral vortical effect.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit.

Referee Report

2 major / 6 minor

Summary. The paper constructs the Tachyon-Chern-Simons (TCS) 5-form for the V-QCD flavor sector with a generic complex matrix tachyon, using Quillen's superconnection formalism and a homotopy integral over a specific path γ = I∪II∪III in the (a,b) plane of rescaled superconnections. The resulting form Ω = Ω° + Ω^b + Ω^c is shown to obey the descent equation dΩ = χ(F), reduce to the ordinary CS form as T→0, transform correctly under P and C, reproduce the QCD flavor anomaly from the UV only, and (for T=0 on the non-invertible locus Z) localize a gauged-Witten piece on Z. The construction is applied to baryons at nonzero quark mass: the baryon number is shown to equal the winding of Ω°₃ around a point-like bulk tachyon defect and, via Stokes, the bulk superconnection instanton number N_B = -(1/4π²)∫χ(F)₄. A boundary pion effective action is derived and shown to reproduce the chiral Lagrangian with Skyrme and correctly normalized WZW terms.

Significance. If it holds, this removes a concrete, long-standing obstruction to flavor-anomaly-consistent holographic QCD with realistic, flavor-dependent quark masses. The strengths are structural rather than fitted: five external criteria (descent, CS limit, discrete symmetries, QCD anomaly, no IR term) fix the form with no free parameters; the T=τU results of [12] are recovered as a check; and the paper delivers a clean, falsifiable topological statement, N_B = -(1/4π²)∫_M χ(F)₄, equating baryon number with a superconnection second Chern number. The explicit L-operator and residue formulae (App. C) and the near-defect analysis (App. D) make the results usable and checkable by others.

major comments (2)
  1. [§3.4, Eq. (3.36); §3.2 criteria 1-5; App. F.2] §3.2/§3.4, App. F: the text asserts the five criteria 'entirely fix Ω (up to a gauge choice)', but what is shown is existence (path γ works) plus failure of one alternative (γ_alt, App. C.1). Since App. F.2 proves different paths differ by exact forms, the ambiguity is precisely in boundary/cohomological data — the same data criteria 4–5 constrain. Please either show that any two paths satisfying criteria 1–5 yield the same UV anomaly and IR behavior, or soften the uniqueness claim. The statement should also acknowledge the choice f=exp in (3.28), since §1.2 notes residual freedom (four functions of τ in the T=τU case of [12]).
  2. [§4.3, Eqs. (4.59)-(4.69); §4.4 anomaly verification] The advertised 'general case' is not fully established for Ω^b. Eq. (4.59)-(4.60) is derived assuming T=0 on all of Z; for partial-rank defects (some σ_a≠0 on Z) the surviving non-trace terms (4.66), (4.69) and corner terms (4.61) are not computed, and §4.4 explicitly does not derive the descent equations for the enlarged set {d, dσ_a}, noting (4.88) misses dσ_a-exact pieces. The anomaly check (criterion 4) is thereby imported from [12], which assumed T=0 on Z. Either restrict the main claims accordingly (this covers the baryon application of §5) or complete the check for partial-rank defects.
minor comments (6)
  1. [§6.3, Eqs. (6.53)-(6.68)] The WZW normalization uses a distributional limit f(v)→δ(v) (6.64)-(6.66) and numerical support for the UV dominance of the integral (6.54). The O(m_q) corrections in (6.66) and the estimate (E.95) are welcome; please quantify the error in the N_c coefficient and state explicitly the GMOR-type relation for m_π² used in the second equality of (6.66).
  2. [§5.2, use of App. D] The key inputs that F_L, F_R vanish at r* and that the DBI term gives no defect contribution to N_B rest entirely on App. D. A short summary of the assumptions (tachyon behavior near the defect, finite-energy constraints, admissible exponents) in §5.2 would make the main-line argument self-contained.
  3. [§5.2, Eqs. (5.25)-(5.26)] The 'half-integer' statement in (5.26) follows from i/(48π²)∫Tr(A³) with A=iVdV† being half the standard winding 1/(24π²)∫Tr((VdV†)³)∈Z. Please make this normalization explicit; also confirm signs in the integration limits of (4.47) relative to (3.42) (ds from +∞ to 1).
  4. [§4.3, Eq. (4.59)] The symbol δ(T) in (4.59) is used for a matrix argument; please define it precisely, e.g. as ∏_a δ(σ_a) or via the dσ_a operators of (4.91), and state how it reduces to δ(τ)dτ in the T=τU case (4.26).
  5. [§4.3-§4.4] Since several central results (Ω^b formula, anomaly check, Ω^c cohomology statement on M−Z) assume T=0 on Z while others are fully generic, a short table or remark summarizing which results hold under which hypothesis on Z would substantially improve readability.
  6. [typography] Typographical: heading '4.1 TheT=τUcase' (missing space); 'interepreted' in App. C.4; 'integrant'→'integrand' in App. C.5; 'dτ 2 = 0' should read dτ∧dτ=0; Figure 1 would benefit from arrows indicating the direction of path III (b:∞→1).

Circularity Check

0 steps flagged

No significant circularity: TCS is constructed from the superconnection Chern character under external QCD/anomaly constraints; baryon–instanton equality and the pion effective action are derived, not fitted or assumed.

full rationale

The load-bearing chain is constructive rather than definitional. The TCS form is obtained from Quillen’s superconnection via an explicit homotopy integral (Eqs. 3.30–3.42); the path γ is selected so that five external requirements hold (descent dΩ=χ(F), reduction to ordinary CS at T=0, discrete symmetries, UV QCD flavor anomaly, no IR anomaly contribution). Those requirements are inputs from QCD and string-inspired setup, not quantities fitted to the paper’s own outputs. Explicit formulae for Ω0, Ωb, Ωc are computed and checked to reduce to the known T=τU results of prior work; that is a consistency check, not a prediction forced by a fit. Baryon number NB=−(1/4π²)∫S³(r*) Ω0_3 and equality to the bulk second Chern number follow from Stokes and boundary analysis (Sec. 5), not from defining NB as the instanton number. The pion effective action (Sec. 6) is obtained by evaluating DBI+TCS on normalizable modes and recovers the chiral Lagrangian with the expected Nc-normalized WZW term—an independent check of normalization, not a circular rename. Self-citations to V-QCD and the special-case TCS supply model setup and benchmarks; they are not load-bearing uniqueness theorems that forbid alternatives by author fiat alone. Score 1 reflects only routine self-citation of the model framework, not circular derivation of the central claims.

Axiom & Free-Parameter Ledger

0 free parameters · 5 axioms · 2 invented entities

The central claim rests on the superconnection Wess-Zumino starting point, five selection criteria for the TCS form, a specific homotopy path, IR regularity of the unitary part of the tachyon, and the V-QCD bulk action. No numerical free parameters are fitted; the construction is algebraic once those modeling choices are granted.

axioms (5)
  • domain assumption The topological flavor action is given by the superconnection Chern character SWZ = T4 ∫ C ∧ Str exp(iF) (or a mild deformation f(F)), inherited from D4-D4bar string constructions.
    Stated in Sec. 3.1 and used as the starting point for all descent; the paper notes that a fully first-principles 5d non-critical derivation is not available.
  • domain assumption The TCS form must satisfy the five criteria: dΩ=χ(F), reduce to ordinary CS at T=0, P1-odd and C-even, reproduce the UV QCD flavor anomaly, and contribute no IR boundary term.
    Sec. 3.2; these fix the path ambiguity up to exact forms.
  • domain assumption IR regularity: space-time derivatives of the unitary part U of the tachyon vanish in the deep IR so that Ω^c does not source an IR anomaly.
    Invoked in Sec. 3.2 and 4.4 to kill IR anomaly contributions.
  • domain assumption For point-like baryon defects the tachyon vanishes identically on Z (all singular values zero), so multi-dσ terms drop and Ω^b reduces to the gauged Witten form.
    Used in Sec. 4.3 and 5 to obtain the simple G4 expression and N_B formula.
  • standard math Standard differential geometry and Quillen superconnection identities (closedness of χ, graded cyclicity of Str, Stokes).
    Appendix A.2 and throughout Sec. 3-5.
invented entities (2)
  • Tachyon-Chern-Simons (TCS) forms Ω=Ω°+Ω^b+Ω^c for generic matrix tachyon independent evidence
    purpose: Provide the anomaly-consistent topological action when quark masses differ by flavor.
    Constructed explicitly via homotopy; reduces to known special cases. Independent handle is matching of QCD flavor anomalies and integer baryon charge.
  • Bulk point-like tachyon defects as carriers of baryon number at mq eq0 no independent evidence
    purpose: Replace UV skyrmion winding (which becomes trivial when mq eq0 forces U o1 at the boundary) as the locus of baryon charge.
    Analogous to hard-wall constructions; charge equals instanton number. Falsifiable inside the model by solving the full EOM for the soliton.

pith-pipeline@v1.2.0-grok45-kimik3 · 79380 in / 3302 out tokens · 66648 ms · 2026-07-31T05:58:02.828635+00:00 · methodology

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read the original abstract

Consistency with global flavor anomalies requires the presence of Chern-Simons terms in holographic models of QCD. Such terms are analyzed in a setup arising in the holographic V-QCD model, where chiral symmetry breaking is implemented through the condensation of a complex scalar field, the tachyon. Using the superconnection formalism, the Tachyon-Chern-Simons terms are constructed explicitly in the general case, where the tachyon is any complex matrix in flavor space. This general case covers, among other things, backgrounds where different quark flavors have different masses. These new results are used to analyze the structure of the baryon solutions in the presence of nonzero quark masses. Expressions for the baryon number current and the total baryon number are found, and the baryon number is shown to be equal to the topological instanton number of the baryon solution. The effective four-dimensional pion action is analyzed and is shown to reproduce the chiral Lagrangian, including the Skyrme and Wess-Zumino-Witten terms.

Figures

Figures reproduced from arXiv: 2607.24915 by Edwan Pr\'eau, Elias Kiritsis, Francesco Nitti, Jean-Loup Raymond, Matti J\"arvinen.

Figure 1
Figure 1. Figure 1: Illustration of the parameter space for superconnections ( [PITH_FULL_IMAGE:figures/full_fig_p026_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: Illustration of a defect configuration which requires keeping terms with [PITH_FULL_IMAGE:figures/full_fig_p040_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: Contour C˜ in equation (C.31). The contour encircles counterclockwise the poles at u = −σ 2 a for every tachyon eigenvalue σa. After rearranging and doing the sums over ki , we find e iFs [PITH_FULL_IMAGE:figures/full_fig_p082_3.png] view at source ↗

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Reference graph

Works this paper leans on

68 extracted references · 48 linked inside Pith

  1. [1]

    A PCAC puzzle:π 0 →γγin theσmodel,

    J. S. Bell and R. Jackiw,“A PCAC puzzle:π 0 →γγin theσmodel,” Nuovo Cim. A60, 47-61 (1969)

    1969

  2. [2]

    Axial vector vertex in spinor electrodynamics,

    S. L. Adler,“Axial vector vertex in spinor electrodynamics,” Phys. Rev.177, 2426-2438 (1969)

    1969

  3. [3]

    Anomalous Ward identities in spinor field theories,

    W. A. Bardeen,“Anomalous Ward identities in spinor field theories,” Phys. Rev. 184, 1848-1857 (1969)

    1969

  4. [4]

    Global Aspects of Current Algebra,

    E. Witten,“Global Aspects of Current Algebra,” Nucl. Phys. B223, 422-432 (1983)

    1983

  5. [5]

    Anomalous Spin 1 Meson Decays From the Gauged Wess-Zumino Term,

    H. Gomm, O. Kaymakcalan and J. Schechter,“Anomalous Spin 1 Meson Decays From the Gauged Wess-Zumino Term,” Phys. Rev. D30, 2345 (1984)

    1984

  6. [6]

    Anti de Sitter space and holography,

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

    Pith/arXiv arXiv 1998

  7. [7]

    Chiral symmetry breaking as open string tachyon condensation,

    R. Casero, E. Kiritsis and A. Paredes,“Chiral symmetry breaking as open string tachyon condensation,” Nuclear Physics B, Volume 787,(2007), 98-134

    2007

  8. [8]

    Baryons and branes in anti-de Sitter space,

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

    Pith/arXiv arXiv 1998

  9. [9]

    Dense hadronic matter in holographic QCD,

    K. Y. Kim, S. J. Sin and I. Zahed,“Dense hadronic matter in holographic QCD,” J. Korean Phys. Soc.63, 1515-1529 (2013) [ArXiv:hep-th/0608046]

    Pith/arXiv arXiv 2013

  10. [10]

    Baryons from instantons in holographic QCD,

    H. Hata, T. Sakai, S. Sugimoto and S. Yamato,“Baryons from instantons in holographic QCD,” Prog. Theor. Phys.117(2007), 1157 ; [ArXiv:hep-th/0701280]

    Pith/arXiv arXiv 2007

  11. [12]

    Tachyon-dependent Chern-Simons terms and the V-QCD baryon,

    M. J¨ arvinen, E. Kiritsis, F. Nitti and E. Pr´ eau,“Tachyon-dependent Chern-Simons terms and the V-QCD baryon,” JHEP12(2022), 160 ; [ArXiv:2209.05868] [hep-th]

    Pith/arXiv arXiv 2022

  12. [13]

    Gravity Dual of Spatially Modulated Phase,

    S. Nakamura, H. Ooguri and C. S. Park,“Gravity Dual of Spatially Modulated Phase,” Phys. Rev. D81(2010), 044018 ; [ArXiv:0911.0679] [hep-th]

    Pith/arXiv arXiv 2010

  13. [14]

    Spatially Modulated Phase in Holographic Quark-Gluon Plasma,

    H. Ooguri and C. S. Park,“Spatially Modulated Phase in Holographic Quark-Gluon Plasma,” Phys. Rev. Lett.106, 061601 (2011) [ArXiv:1011.4144][hep-th]

    Pith/arXiv arXiv 2011

  14. [15]

    Modulated instabilities and the AdS2 point in dense holographic matter,

    J. Cruz Rojas, T. Demircik and M. J¨ arvinen,“Modulated instabilities and the AdS2 point in dense holographic matter,” Phys. Rev. D111, no.4, 046017 (2025) [ArXiv:2405.02399][hep-th]. – 140 –

    Pith/arXiv arXiv 2025

  15. [16]

    Holography and Anomaly Matching for Resonances,

    D. T. Son and N. Yamamoto,“Holography and Anomaly Matching for Resonances,” [ArXiv:1010.0718] [hep-ph]

    Pith/arXiv arXiv

  16. [17]

    Vector-axial vector correlators in weak electric field and the holographic dynamics of the chiral condensate,

    I. Iatrakis and E. Kiritsis,“Vector-axial vector correlators in weak electric field and the holographic dynamics of the chiral condensate,” JHEP02(2012), 064 ; [ArXiv:1109.1282] [hep-ph]

    Pith/arXiv arXiv 2012

  17. [18]

    Thermodynamics of dyonic black holes in minimal supergravity,

    R. G. Cai, L. Li and J. K. Zhao,“Thermodynamics of dyonic black holes in minimal supergravity,” [ArXiv:2410.00717][gr-qc]

    Pith/arXiv arXiv

  18. [19]

    Chern-Simons five-form and holographic baryons,

    P. H. C. Lau and S. Sugimoto,“Chern-Simons five-form and holographic baryons,” Phys. Rev. D95(2017) no.12, 126007 ; [ArXiv:1612.09503] [hep-th]

    Pith/arXiv arXiv 2017

  19. [20]

    Tachyon dynamics in open string theory,

    A. Sen,“Tachyon dynamics in open string theory,” Int. J. Mod. Phys. A20(2005), 5513-5656; [ArXiv:hep-th/0410103]

    Pith/arXiv arXiv 2005

  20. [21]

    Dirac-Born-Infeld action on the tachyon kink and vortex,

    A. Sen,“Dirac-Born-Infeld action on the tachyon kink and vortex,” Phys. Rev. D 68, 066008 (2003) ; [ArXiv:hep-th/0303057]

    Pith/arXiv arXiv 2003

  21. [22]

    Holographic Models for QCD in the Veneziano Limit,

    M. J¨ arvinen and E. Kiritsis,“Holographic Models for QCD in the Veneziano Limit,” JHEP03(2012), 002 ; [ArXiv:1112.1261] [hep-ph]

    Pith/arXiv arXiv 2012

  22. [23]

    Exploring improved holographic theories for QCD: Part I,

    U. Gursoy and E. Kiritsis,“Exploring improved holographic theories for QCD: Part I,”JHEP0802(2008) 032 [ArXiv:0707.1324][hep-th]; U. Gursoy, E. Kiritsis, F. Nitti,“Exploring improved holographic theories for QCD: Part II,”JHEP0802, 019 (2008) [ArXiv:0707.1349][hep-th]

    Pith/arXiv arXiv 2008

  23. [24]

    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, 012 (2005)

    2005

  24. [25]

    Superconnections and the Chern character

    D. Quillen,“Superconnections and the Chern character”, Topology, Volume 24, Issue 1,2(1985), 89-95

    1985

  25. [26]

    D-branes and K-theory,

    E. Witten,“D-branes and K-theory,” JHEP12(1998), 019 ; [ArXiv:hep-th/9810188]

    Pith/arXiv arXiv 1998

  26. [27]

    Ramond-Ramond couplings on Brane - anti-Brane systems,

    C. Kennedy and A. Wilkins,“Ramond-Ramond couplings on Brane - anti-Brane systems,” Phys. Lett. B464(1999), 206-212 ; [ArXiv:hep-th/9905195]

    Pith/arXiv arXiv 1999

  27. [28]

    Boundary string field theory of the D anti-D system,

    P. Kraus and F. Larsen,“Boundary string field theory of the D anti-D system,” Phys. Rev. D63(2001), 106004 ; [ArXiv:hep-th/0012198]

    Pith/arXiv arXiv 2001

  28. [29]

    Brane - anti-brane action from boundary string field theory,

    T. Takayanagi, S. Terashima and T. Uesugi,“Brane - anti-brane action from boundary string field theory,” JHEP03(2001), 019 ; [ArXiv:hep-th/0012210]

    Pith/arXiv arXiv 2001

  29. [30]

    Anomaly and superconnection,

    H. Kanno and S. Sugimoto,“Anomaly and superconnection,” PTEP2022(2022) no.1, 013B02; [ArXiv:2106.01591] [hep-th]. – 141 –

    Pith/arXiv arXiv 2022

  30. [31]

    Superconnections, anomalies and nonBPS brane charges,

    R. J. Szabo,“Superconnections, anomalies and nonBPS brane charges,”J. Geom. Phys.43(2002), 241-292 doi:10.1016/S0393-0440(02)00024-4 [arXiv:hep-th/0108043 [hep-th]]

    Pith/arXiv arXiv 2002

  31. [32]

    Baryon as dyonic instanton,

    A. Gorsky and A. Krikun,“Baryon as dyonic instanton,” Phys. Rev. D86(2012), 126005 [ArXiv:1206.4515][hep-th]

    Pith/arXiv arXiv 2012

  32. [33]

    Baryon and chiral symmetry breaking in holographic QCD,

    A. Gorsky, S. B. Gudnason and A. Krikun,“Baryon and chiral symmetry breaking in holographic QCD,” Phys. Rev. D91(2015) no.12, 126008 [ArXiv:1503.04820][hep-th]

    Pith/arXiv arXiv 2015

  33. [34]

    Three-flavor quark mass dependence of baryon spectra in holographic QCD,

    K. Hashimoto, N. Iizuka, T. Ishii and D. Kadoh,“Three-flavor quark mass dependence of baryon spectra in holographic QCD,” Phys. Lett. B691, 65-71 (2010) [ArXiv:0910.1179][hep-th]

    Pith/arXiv arXiv 2010

  34. [35]

    Neutron electric dipole moment from gauge/string duality,

    L. Bartolini, F. Bigazzi, S. Bolognesi, A. L. Cotrone and A. Manenti,“Neutron electric dipole moment from gauge/string duality,” Phys. Rev. Lett.118, no.9, 091601 (2017) [ArXiv:1609.09513][hep-ph]

    Pith/arXiv arXiv 2017

  35. [36]

    Mass and isospin breaking effects in the Skyrme model and in holographic QCD,

    L. Bartolini, S. Bolognesi, S. B. Gudnason and T. Rainaldi,“Mass and isospin breaking effects in the Skyrme model and in holographic QCD,” Phys. Rev. D110, no.2, 026017 (2024) [ArXiv:2312.15404][hep-th]

    Pith/arXiv arXiv 2024

  36. [37]

    Magnetic Monopoles in Unified Gauge Theories,

    G. ’t Hooft,“Magnetic Monopoles in Unified Gauge Theories,” Nucl. Phys. B79 (1974), 276-284

    1974

  37. [38]

    Low energy hadron physics in holographic QCD,

    T. Sakai and S. Sugimoto,“Low energy hadron physics in holographic QCD,” Prog. Theor. Phys.113(2005), 843-882 ; [ArXiv:hep-th/0412141]

    Pith/arXiv arXiv 2005

  38. [39]

    Chiral symmetry breaking from five dimensional spaces,

    L. Da Rold and A. Pomarol,“Chiral symmetry breaking from five dimensional spaces,” Nucl. Phys. B721, 79-97 (2005) [ArXiv:hep-ph/0501218]

    Pith/arXiv arXiv 2005

  39. [40]

    From the Sakai-Sugimoto Model to the Generalized Skyrme Model,

    L. Bartolini, S. Bolognesi and A. Proto,“From the Sakai-Sugimoto Model to the Generalized Skyrme Model,” Phys. Rev. D97, no.1, 014024 (2018) [ArXiv:1711.03873][hep-th]

    Pith/arXiv arXiv 2018

  40. [41]

    Cold Nuclear Matter In Holographic QCD,

    M. Rozali, H. H. Shieh, M. Van Raamsdonk and J. Wu,“Cold Nuclear Matter In Holographic QCD,” JHEP01, 053 (2008) [ArXiv:0708.1322][hep-th]

    Pith/arXiv arXiv 2008

  41. [42]

    From holography towards real-world nuclear matter,

    S. w. Li, A. Schmitt and Q. Wang,“From holography towards real-world nuclear matter,” Phys. Rev. D92, no.2, 026006 (2015) [ArXiv:1505.04886][hep-ph]

    Pith/arXiv arXiv 2015

  42. [43]

    Cool baryon and quark matter in holographic QCD,

    T. Ishii, M. J¨ arvinen and G. Nijs,“Cool baryon and quark matter in holographic QCD,” JHEP07(2019), 003 [ArXiv:1903.06169][hep-th]

    Pith/arXiv arXiv 2019

  43. [44]

    Isospin asymmetry and neutron stars in holographic QCD in the Veneziano limit,

    L. Bartolini, S. B. Gudnason and M. J¨ arvinen,“Isospin asymmetry and neutron stars in holographic QCD in the Veneziano limit,” Phys. Rev. D111, no.10, 106021 (2025) [ArXiv:2504.01758][hep-ph]. – 142 –

    arXiv 2025

  44. [45]

    Holographic baryons as quantum Hall droplets,

    F. Bigazzi, A. L. Cotrone, A. Olzi and J. L. Raymond,“Holographic baryons as quantum Hall droplets,” JHEP02(2026), 233 [ArXiv:2506.16205][hep-th]

    arXiv 2026

  45. [46]

    Is holographic quark-gluon plasma homogeneous?,

    T. Demircik, N. Jokela, M. Jarvinen and A. Piispa,“Is holographic quark-gluon plasma homogeneous?,” Phys. Rev. D113, no.2, 026029 (2026) [ArXiv:2405.02392][hep-ph]

    Pith/arXiv arXiv 2026

  46. [47]

    Gravitational Anomaly and Transport,

    K. Landsteiner, E. Megias and F. Pena-Benitez,“Gravitational Anomaly and Transport,” Phys. Rev. Lett.107(2011), 021601 [ArXiv:1103.5006][hep-ph]

    Pith/arXiv arXiv 2011

  47. [48]

    Anomalous Transport from Kubo Formulae,

    K. Landsteiner, E. Megias and F. Pena-Benitez,“Anomalous Transport from Kubo Formulae,” Lect. Notes Phys.871(2013), 433-468 [ArXiv:1207.5808][hep-th]

    Pith/arXiv arXiv 2013

  48. [49]

    The Chiral Magnetic Effect,

    K. Fukushima, D. E. Kharzeev and H. J. Warringa,“The Chiral Magnetic Effect,” Phys. Rev. D78(2008), 074033 [ArXiv:0808.3382][hep-ph]

    Pith/arXiv arXiv 2008

  49. [50]

    Hydrodynamics with Triangle Anomalies,

    D. T. Son and P. Surowka,“Hydrodynamics with Triangle Anomalies,” Phys. Rev. Lett.103(2009), 191601 [ArXiv:0906.5044][hep-th]

    Pith/arXiv arXiv 2009

  50. [51]

    Relativistic Hydrodynamics with General Anomalous Charges,

    Y. Neiman and Y. Oz,“Relativistic Hydrodynamics with General Anomalous Charges,” JHEP03(2011), 023 [ArXiv:1011.5107][hep-th]

    Pith/arXiv arXiv 2011

  51. [52]

    (Non)renormalization of Anomalous Conductivities and Holography,

    U. G¨ ursoy and A. Jansen,“(Non)renormalization of Anomalous Conductivities and Holography,” JHEP10, 092 (2014) [ArXiv:arXiv:1407.3282][hep-th]

    Pith/arXiv arXiv 2014

  52. [53]

    Dynamical gauge fields and anomalous transport at strong coupling,

    A. D. Gallegos and U. G¨ ursoy,“Dynamical gauge fields and anomalous transport at strong coupling,” JHEP05, 001 (2019) [ArXiv:1806.07138][hep-th]

    Pith/arXiv arXiv 2019

  53. [54]

    Chiral separation effect from holographic QCD,

    D. Gallegos, M. J¨ arvinen and E. Weitz,“Chiral separation effect from holographic QCD,” JHEP11, 051 (2024) [erratum: JHEP08, 041 (2025)] [ArXiv:2406.07617][hep-th]

    Pith/arXiv arXiv 2024

  54. [55]

    Large N Expansion in Dual Models,

    G. Veneziano,“Large N Expansion in Dual Models,” Phys. Lett. B52(1974), 220-222

    1974

  55. [56]

    The Chern-Simons Diffusion Rate in Improved Holographic QCD,

    U. G¨ ursoy, I. Iatrakis, E. Kiritsis, F. Nitti and A. O’Bannon,“The Chern-Simons Diffusion Rate in Improved Holographic QCD,” JHEP02(2013), 119 ; [ArXiv:1212.3894] [hep-th]; D. Arean, I. Iatrakis, M. Jarvinen and E. Kiritsis,“CP-odd sector andθdynamics in holographic QCD,” Phys. Rev. D96(2017) no.2, 026001 ; [ArXiv:1609.08922] [hep-ph]; Y. Hamada, E. Kir...

    Pith/arXiv arXiv 2013

  56. [57]

    Dissecting the string theory dual of QCD,

    E. Kiritsis,“Dissecting the string theory dual of QCD,”Fortsch. Phys.57(2009) 396 [ArXiv:0901.1772][hep-th]

    Pith/arXiv arXiv 2009

  57. [58]

    Deconfinement and Gluon Plasma Dynamics in Improved Holographic QCD,

    U. Gursoy, E. Kiritsis, L. Mazzanti, F. Nitti,“Deconfinement and Gluon Plasma Dynamics in Improved Holographic QCD,”Phys. Rev. Lett.101(2008) 181601 [ArXiv:0804.0899][hep-th]; U. Gursoy, E. Kiritsis, L. Mazzanti, F. Nitti,“Holography and Thermodynamics of 5D Dilaton-gravity,”JHEP0905, 033 (2009) [ArXiv:0812.0792][hep-th]; “Improved Holographic Yang-Mills ...

    Pith/arXiv arXiv 2008

  58. [59]

    On nonAbelian generalization of Born-Infeld action in string theory,

    A. A. Tseytlin,“On nonAbelian generalization of Born-Infeld action in string theory,” Nucl. Phys. B501(1997), 41-52 [ArXiv:9701125][hep-th]

    1997

  59. [60]

    The nonAbelian Born-Infeld action at order F**6,

    A. Sevrin, J. Troost and W. Troost,“The nonAbelian Born-Infeld action at order F**6,” Nucl. Phys. B603(2001), 389-412 [ArXiv:0101192][hep-th]

    2001

  60. [61]

    V-QCD: Spectra, the dilaton and the S-parameter,

    D. Arean, I. Iatrakis, M. J¨ arvinen and E. Kiritsis,“V-QCD: Spectra, the dilaton and the S-parameter,” Phys. Lett. B720(2013), 219-223 ; [ArXiv:1211.6125] [hep-ph]; “The discontinuities of conformal transitions and mass spectra of V-QCD,” JHEP 11, 068 (2013) [ArXiv:1309.2286][hep-ph]; D. Arean, I. Iatrakis and M. J¨ arvinen,“The spectrum of (h)QCD in the...

    Pith/arXiv arXiv 2013

  61. [62]

    Holographic modeling of nuclear matter and neutron stars,

    M. J¨ arvinen,“Holographic modeling of nuclear matter and neutron stars,” Eur. Phys. J. C82, no.4, 282 (2022) [ArXiv:2110.08281] [hep-ph]

    Pith/arXiv arXiv 2022

  62. [63]

    Lectures on Anomalies,

    A. Bilal,“Lectures on Anomalies,” [ArXiv:0802.0634][hep-th]

    Pith/arXiv arXiv

  63. [64]

    Confinement on the brane,

    O. Bergman, K. Hori and P. Yi,“Confinement on the brane,” Nucl. Phys. B580 (2000), 289-310; [ArXiv:0002223] [hep-th]

    2000

  64. [65]

    Static Properties of Nucleons in the Skyrme Model,

    G. S. Adkins, C. R. Nappi and E. Witten,“Static Properties of Nucleons in the Skyrme Model,” Nucl. Phys. B228(1983), 552

    1983

  65. [66]

    Current Algebra, Baryons, and Quark Confinement,

    E. Witten,“Current Algebra, Baryons, and Quark Confinement,” Nucl. Phys. B 223(1983), 433-444

    1983

  66. [67]

    Algebraic Study of Chiral Anomalies,

    J. Manes, R. Stora and B. Zumino,“Algebraic Study of Chiral Anomalies,” Commun. Math. Phys.102(1985), 157

    1985

  67. [68]

    Algebraic topology,

    A. Hatcher,“Algebraic topology,”Cambridge Univ. Press (2000)

    2000

  68. [69]

    Consistent and Covariant Anomalies in Gauge and Gravitational Theories,

    W. A. Bardeen and B. Zumino,“Consistent and Covariant Anomalies in Gauge and Gravitational Theories,” Nucl. Phys. B244(1984), 421-453 . – 144 –

    1984