pith. sign in

arxiv: 2605.24101 · v1 · pith:4CQO3SDXnew · submitted 2026-05-22 · ✦ hep-th

Bremsstrahlung function in mathcal{N}=2 SCFTs far beyond the supergravity limit

Lorenzo De Lillo , Paolo Vallarino This is my paper

Pith reviewed 2026-06-30 15:14 UTC · model grok-4.3

classification ✦ hep-th
keywords Bremsstrahlung functionN=2 SCFTlarge-N expansionmatrix modelsstrong coupling expansionfree energyholographic duals
0
0 comments X

The pith

In the E-theory the subleading large-N Bremsstrahlung correction equals the derivative of the free energy with respect to the coupling.

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

The paper computes the Bremsstrahlung function in two N=2 superconformal theories using matrix-model techniques and obtains exact results at arbitrary coupling for the first few large-N orders. Both theories match N=4 super Yang-Mills at leading order in large N. For the E-theory the subleading correction is shown to be exactly a derivative of the free energy, which immediately supplies the full strong-coupling series including non-perturbative terms once the free energy is known. For the D-theory the strong-coupling subleading corrections expand in inverse powers of the coupling that truncate after finitely many terms, and closed expressions are also given for the non-perturbative pieces. These expressions furnish concrete predictions for the holographic duals beyond the supergravity limit.

Core claim

For the E-theory the subleading large-N correction to the Bremsstrahlung function is exactly given by a derivative of the free energy with respect to the coupling; this identity yields the complete strong-coupling expansion, including non-perturbative contributions, directly from known free-energy results. For the D-theory the corresponding exact expressions admit strong-coupling expansions in inverse powers of the coupling that terminate after a finite number of terms, together with closed-form non-perturbative corrections.

What carries the argument

Matrix-model representation of the Bremsstrahlung function at finite coupling, which converts the large-N expansion into derivatives of the free energy for the E-theory and into explicit integrals that truncate at strong coupling for the D-theory.

If this is right

  • Both theories are planar equivalent to N=4 SYM at leading large-N order.
  • The E-theory admits a complete strong-coupling series for the subleading Bremsstrahlung function that includes all non-perturbative contributions.
  • The D-theory strong-coupling subleading corrections truncate after finitely many inverse-power terms.
  • Closed-form non-perturbative expressions are obtained for the D-theory.
  • These results supply precise holographic predictions at higher orders in large N and at full subleading strong coupling.

Where Pith is reading between the lines

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

  • The derivative relation may indicate a general structural link between Bremsstrahlung observables and the free energy that could be tested in other N=2 theories.
  • The truncation property in the D-theory suggests that certain matrix-model integrals become algebraic at strong coupling, which might appear in other observables.
  • The results could be used to extract higher-derivative corrections in the holographic duals without relying on supergravity approximations.

Load-bearing premise

The matrix-model representation of the Bremsstrahlung function and the applicability of previously computed free-energy results remain valid beyond the planar limit for these matter contents.

What would settle it

An independent strong-coupling calculation of the subleading Bremsstrahlung function in the E-theory that fails to equal the derivative of the free energy would falsify the central relation.

read the original abstract

We study the Bremsstrahlung function in two four-dimensional $\mathcal{N}=2$ superconformal gauge theories: the E-theory, with hypermultiplets in the symmetric and antisymmetric representations, and the D-theory, with antisymmetric and fundamental matter. Using matrix model techniques, we derive exact results at arbitrary coupling for the first few orders in the large-$N$ expansion. At leading order, both theories are shown to be planar equivalent to $\mathcal{N}=4$ Super Yang-Mills, while beyond the planar limit their behavior differs significantly. For the E-theory, we prove that the subleading correction is exactly given by a derivative of the free energy with respect to the coupling. This relation enables us to determine the complete strong-coupling expansion for the Bremsstrahlung function, including non-perturbative contributions, by exploiting known results for the free energy. For the D-theory, the exact expressions have a more intricate structure. We perform a detailed analysis of the strong-coupling regime of the subleading large-$N$ corrections, showing that, in this case, there are expansions in inverse powers of the coupling which truncate after finitely many terms. We further analyze the non-perturbative effects at strong coupling and derive closed-form expressions also for these contributions. These results provide precise predictions for the holographic duals of both theories beyond the supergravity approximation, probing higher orders in the large-$N$ expansion and the full subleading corrections at strong coupling.

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

1 major / 2 minor

Summary. The manuscript uses matrix-model techniques derived from localization to obtain exact results at arbitrary coupling for the Bremsstrahlung function in the E-theory (symmetric plus antisymmetric hypermultiplets) and D-theory (antisymmetric plus fundamental), up to the first few orders in the large-N expansion. It establishes planar equivalence to N=4 SYM at leading order, proves that the O(1/N^2) correction in the E-theory is exactly a derivative of the free energy with respect to the coupling (allowing the full strong-coupling series including non-perturbative terms to be read off from known free-energy results), and performs a detailed strong-coupling analysis for the D-theory showing that inverse-coupling expansions truncate after finitely many terms with closed-form non-perturbative contributions.

Significance. If the central matrix-model identities hold, the results supply precise, non-perturbative predictions for a Wilson-loop observable in two N=2 SCFTs at strong coupling and subleading 1/N, furnishing concrete tests of their holographic duals beyond the supergravity limit and at higher orders in the 1/N expansion.

major comments (1)
  1. The load-bearing claim that the subleading large-N correction to the Bremsstrahlung function in the E-theory is exactly proportional to λ ∂_λ F (or an equivalent derivative) follows directly from the matrix model: the abstract asserts this is proved, yet the Skeptic correctly notes that the interaction vertices and Vandermonde contributions from the symmetric and antisymmetric hypermultiplets must be shown not to generate extra O(1/N^2) terms that would spoil the exact derivative relation. An explicit verification of this identity at the level of the eigenvalue density or the effective potential is required before the complete strong-coupling expansion can be imported from prior free-energy results.
minor comments (2)
  1. The abstract should explicitly state the source and independence of the imported free-energy results used for the E-theory to clarify that the Bremsstrahlung-function computation is not circular.
  2. Notation for the two theories (E-theory vs. D-theory) and the precise definition of the Bremsstrahlung function B should be introduced with a short equation or reference in the introduction for readers unfamiliar with the conventions.

Simulated Author's Rebuttal

1 responses · 0 unresolved

We thank the referee for the careful reading of our manuscript and for the constructive major comment. We address it directly below.

read point-by-point responses

  1. Referee: The load-bearing claim that the subleading large-N correction to the Bremsstrahlung function in the E-theory is exactly proportional to λ ∂_λ F (or an equivalent derivative) follows directly from the matrix model: the abstract asserts this is proved, yet the Skeptic correctly notes that the interaction vertices and Vandermonde contributions from the symmetric and antisymmetric hypermultiplets must be shown not to generate extra O(1/N^2) terms that would spoil the exact derivative relation. An explicit verification of this identity at the level of the eigenvalue density or the effective potential is required before the complete strong-coupling expansion can be imported from prior free-energy results.

    Authors: We agree that an explicit verification at the level of the eigenvalue density and effective potential would strengthen the presentation and make the absence of extra O(1/N^2) terms fully transparent. While the matrix-model derivation in the manuscript already encodes the specific form of the symmetric and antisymmetric hypermultiplet contributions such that their vertices and Vandermonde factors are absorbed into the derivative relation, we will add a direct computation confirming this cancellation in the revised manuscript (new subsection in Section 3). This will explicitly demonstrate that no spoiling terms arise before importing the strong-coupling series from the free energy. revision: yes

Circularity Check

0 steps flagged

No significant circularity; derivation relies on independent matrix-model identities

full rationale

The abstract states that matrix-model techniques are used to derive the Bremsstrahlung function results and to prove the subleading E-theory correction equals a derivative of the free energy. This relation is presented as following from the matrix-model setup rather than being imposed by definition or by a self-citation chain. Known free-energy results are exploited for the strong-coupling expansion, but the abstract gives no indication that these results were obtained from the same fitted quantities or that the derivative identity reduces to a tautology. No load-bearing step is shown to collapse to an input by construction, and the D-theory analysis is described as having a more intricate independent structure. The derivation chain therefore remains self-contained against external benchmarks.

Axiom & Free-Parameter Ledger

0 free parameters · 0 axioms · 0 invented entities

Based on abstract only; no explicit free parameters, axioms, or invented entities identified. Large-N expansion and matrix-model equivalence to gauge theory are standard background assumptions.

pith-pipeline@v0.9.1-grok · 5801 in / 1184 out tokens · 25318 ms · 2026-06-30T15:14:36.529667+00:00 · methodology

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Reference graph

Works this paper leans on

74 extracted references · 65 canonical work pages · 34 internal anchors

  1. [1]

    Gauge Fields as Rings of Glue

    A. M. Polyakov. “Gauge Fields as Rings of Glue”. Nucl. Phys. B164(1980), 171–188

    1980

  2. [2]

    An exact formula for the radiation of a moving quark in N=4 super Yang Mills

    D. Correa, J. Henn, J. Maldacena, and A. Sever. “An exact formula for the radiation of a moving quark in N=4 super Yang Mills”. JHEP06(2012), 048. arXiv:1202.4455 [hep-th]

    work page internal anchor Pith review Pith/arXiv arXiv 2012

  3. [3]

    Exact results for static and radiative fields of a quark in N=4 super Yang-Mills

    B. Fiol, B. Garolera, and A. Lewkowycz. “Exact results for static and radiative fields of a quark in N=4 super Yang-Mills”. JHEP05(2012), 093. arXiv:1202.5292 [hep-th]

    work page internal anchor Pith review Pith/arXiv arXiv 2012

  4. [4]

    Nonlinear waves in AdS / CFT correspondence

    A. Mikhailov. “Nonlinear waves in AdS / CFT correspondence”. (May 2003). arXiv:hep- th/0305196

    work page arXiv 2003

  5. [5]

    Synchrotron radiation in strongly coupled conformal field theories

    C. Athanasiou, P. M. Chesler, H. Liu, D. Nickel, and K. Rajagopal. “Synchrotron radiation in strongly coupled conformal field theories”. Phys. Rev. D81(2010). [Erratum: Phys.Rev.D 84, 069901 (2011)], 126001. arXiv:1001.3880 [hep-th]

    work page internal anchor Pith review Pith/arXiv arXiv 2010

  6. [6]

    Radiation by a heavy quark in N=4 SYM at strong coupling

    Y. Hatta, E. Iancu, A. H. Mueller, and D. N. Triantafyllopoulos. “Radiation by a heavy quark in N=4 SYM at strong coupling”. Nucl. Phys. B850(2011), 31–52. arXiv:1102.0232 [hep-th]. 24

    work page internal anchor Pith review Pith/arXiv arXiv 2011

  7. [7]

    Energy loss by radiation to all orders in 1/N

    B. Fiol and B. Garolera. “Energy Loss of an Infinitely Massive Half-Bogomol’nyi-Prasad- Sommerfeld Particle by Radiation to All Orders in 1/N”. Phys. Rev. Lett.107(2011), 151601. arXiv:1106.5418 [hep-th]

    work page internal anchor Pith review Pith/arXiv arXiv 2011

  8. [8]

    The quark anti-quark potential and the cusp anomalous dimension from a TBA equation

    D. Correa, J. Maldacena, and A. Sever. “The quark anti-quark potential and the cusp anoma- lous dimension from a TBA equation”. JHEP08(2012), 134. arXiv:1203.1913 [hep-th]

    work page internal anchor Pith review Pith/arXiv arXiv 2012

  9. [9]

    Integrable Wilson loops

    N. Drukker. “Integrable Wilson loops”. JHEP10(2013), 135. arXiv:1203.1617 [hep-th]

    work page internal anchor Pith review Pith/arXiv arXiv 2013

  10. [10]

    Analytic Solution of Bremsstrahlung TBA

    N. Gromov and A. Sever. “Analytic Solution of Bremsstrahlung TBA”. JHEP11(2012),

    2012

  11. [11]

    arXiv:1207.5489 [hep-th]

    work page internal anchor Pith review Pith/arXiv arXiv

  12. [12]

    Exact results for the entanglement entropy and the energy radiated by a quark

    A. Lewkowycz and J. Maldacena. “Exact results for the entanglement entropy and the energy radiated by a quark”. JHEP05(2014), 025. arXiv:1312.5682 [hep-th]

    work page internal anchor Pith review Pith/arXiv arXiv 2014

  13. [13]

    A supermatrix model for N=6 super Chern-Simons-matter theory

    N. Drukker and D. Trancanelli. “A Supermatrix model for N=6 super Chern-Simons-matter theory”. JHEP02(2010), 058. arXiv:0912.3006 [hep-th]

    work page internal anchor Pith review Pith/arXiv arXiv 2010

  14. [14]

    Generalized cusp in AdS_4 x CP^3 and more one-loop results from semiclassical strings

    V. Forini, V. G. M. Puletti, and O. Ohlsson Sax. “The generalized cusp inAdS 4 xCP 3 and more one-loop results from semiclassical strings”. J. Phys. A46(2013), 115402. arXiv: 1204.3302 [hep-th]

    work page internal anchor Pith review Pith/arXiv arXiv 2013

  15. [15]

    Strings in AdS_4 x CP^3, Wilson loops in N=6 super Chern-Simons-matter and Bremsstrahlung functions

    J. Aguilera-Damia, D. H. Correa, and G. A. Silva. “Strings inAdS 4 ×CP 3 Wilson loops in N=6 super Chern-Simons-matter and bremsstrahlung functions”. JHEP06(2014), 139. arXiv:1405.1396 [hep-th]

    work page internal anchor Pith review Pith/arXiv arXiv 2014

  16. [16]

    BPS Wilson loops and Bremsstrahlung function in ABJ(M): a two loop analysis

    M. S. Bianchi, L. Griguolo, M. Leoni, S. Penati, and D. Seminara. “BPS Wilson loops and Bremsstrahlung function in ABJ(M): a two loop analysis”. JHEP06(2014), 123. arXiv: 1402.4128 [hep-th]

    work page internal anchor Pith review Pith/arXiv arXiv 2014

  17. [17]

    Wilson lines as superconformal defects in ABJM theory: a formula for the emitted radiation

    L. Bianchi, L. Griguolo, M. Preti, and D. Seminara. “Wilson lines as superconformal defects in ABJM theory: a formula for the emitted radiation”. JHEP10(2017), 050. arXiv:1706. 06590 [hep-th]

    2017

  18. [18]

    Towards the exact Bremsstrahlung function of ABJM theory

    M. S. Bianchi, L. Griguolo, A. Mauri, S. Penati, M. Preti, and D. Seminara. “Towards the exact Bremsstrahlung function of ABJM theory”. JHEP08(2017), 022. arXiv:1705.10780 [hep-th]

    work page internal anchor Pith review Pith/arXiv arXiv 2017

  19. [19]

    Exact Bremsstrahlung functions in ABJM theory

    L. Bianchi, M. Preti, and E. Vescovi. “Exact Bremsstrahlung functions in ABJM theory”. JHEP07(2018), 060. arXiv:1802.07726 [hep-th]

    work page internal anchor Pith review Pith/arXiv arXiv 2018

  20. [20]

    The Exact Bremsstrahlung Function in N=2 Superconformal Field Theories

    B. Fiol, E. Gerchkovitz, and Z. Komargodski. “Exact Bremsstrahlung Function inN= 2 Superconformal Field Theories”. Phys. Rev. Lett.116.8 (2016), 081601. arXiv:1510.01332 [hep-th]

    work page internal anchor Pith review Pith/arXiv arXiv 2016

  21. [21]

    Line defects and radiation in $\mathcal{N}=2$ theories

    L. Bianchi, M. Lemos, and M. Meineri. “Line Defects and Radiation inN= 2 Conformal Theories”. Phys. Rev. Lett.121.14 (2018), 141601. arXiv:1805.04111 [hep-th]

    work page internal anchor Pith review Pith/arXiv arXiv 2018

  22. [22]

    Emitted Radiation and Geometry

    L. Bianchi, M. Billo, F. Galvagno, and A. Lerda. “Emitted Radiation and Geometry”. JHEP 01(2020), 075. arXiv:1910.06332 [hep-th]

    work page arXiv 2020

  23. [23]

    Emitted radiation in superconformal field theories

    F. Galvagno. “Emitted radiation in superconformal field theories”. Eur. Phys. J. Plus137.1 (2022), 143. arXiv:2112.03841 [hep-th]

    work page arXiv 2022

  24. [24]

    Exact Bremsstrahlung and Effective Couplings

    V. Mitev and E. Pomoni. “Exact Bremsstrahlung and Effective Couplings”. JHEP06(2016),

    2016

  25. [25]

    arXiv:1511.02217 [hep-th]. 25

    work page internal anchor Pith review Pith/arXiv arXiv

  26. [26]

    The Bremsstrahlung function of $\mathcal{N} \!= \!2 $ SCQCD

    C. Gomez, A. Mauri, and S. Penati. “The Bremsstrahlung function ofN= 2 SCQCD”. JHEP03(2019), 122. arXiv:1811.08437 [hep-th]

    work page internal anchor Pith review Pith/arXiv arXiv 2019

  27. [27]

    Probing N=2 superconformal field theories with localization

    B. Fiol, B. Garolera, and G. Torrents. “ProbingN= 2 superconformal field theories with localization”. JHEP01(2016), 168. arXiv:1511.00616 [hep-th]

    work page internal anchor Pith review Pith/arXiv arXiv 2016

  28. [28]

    Elliptic Models, Type IIB Orientifolds and the Ads/CFT Correspondence

    I. P. Ennes, C. Lozano, S. G. Naculich, and H. J. Schnitzer. “Elliptic models, type IIB orientifolds and the AdS / CFT correspondence”. Nucl. Phys. B591(2000), 195–226. arXiv: hep-th/0006140

    work page internal anchor Pith review Pith/arXiv arXiv 2000

  29. [29]

    Operator Mixing in Large $N$ Superconformal Field Theories on $\mathbb{S}^4$ and Correlators with Wilson loops

    D. Rodriguez-Gomez and J. G. Russo. “Operator mixing in largeNsuperconformal field theories on S4 and correlators with Wilson loops”. JHEP12(2016), 120. arXiv:1607.07878 [hep-th]

    work page internal anchor Pith review Pith/arXiv arXiv 2016

  30. [30]

    Large $N$ correlation functions in $\mathcal{N}=2$ superconformal quivers

    A. Pini, D. Rodriguez-Gomez, and J. G. Russo. “LargeNcorrelation functionsN= 2 superconformal quivers”. JHEP08(2017), 066. arXiv:1701.02315 [hep-th]

    work page internal anchor Pith review Pith/arXiv arXiv 2017

  31. [31]

    N= 2 Conformal SYM theories at largeN

    M. Beccaria, M. Billo, F. Galvagno, A. Hasan, and A. Lerda. “N= 2 Conformal SYM theories at largeN”. JHEP09(2020), 116. arXiv:2007.02840 [hep-th]

    work page arXiv 2020

  32. [32]

    Chiral correlators inN= 2 superconformal quivers

    F. Galvagno and M. Preti. “Chiral correlators inN= 2 superconformal quivers”. JHEP05 (2021), 201. arXiv:2012.15792 [hep-th]

    work page arXiv 2021

  33. [33]

    Exact results in aN= 2 su- perconformal gauge theory at strong coupling

    M. Beccaria, M. Billo, M. Frau, A. Lerda, and A. Pini. “Exact results in aN= 2 su- perconformal gauge theory at strong coupling”. JHEP07(2021), 185. arXiv:2105.15113 [hep-th]

    work page arXiv 2021

  34. [34]

    Strong-coupling results forN = 2 superconformal quivers and holography

    M. Billo, M. Frau, F. Galvagno, A. Lerda, and A. Pini. “Strong-coupling results forN = 2 superconformal quivers and holography”. JHEP10(2021), 161. arXiv:2109 . 00559 [hep-th]

    2021

  35. [35]

    Three-point functions in aN= 2 superconformal gauge theory and their strong-coupling limit

    M. Billo, M. Frau, A. Lerda, A. Pini, and P. Vallarino. “Three-point functions in aN= 2 superconformal gauge theory and their strong-coupling limit”. JHEP08(2022), 199. arXiv: 2202.06990 [hep-th]

    work page arXiv 2022

  36. [36]

    Structure constants inN= 2 superconformal quiver theories at strong coupling and holography

    M. Billo, M. Frau, A. Lerda, A. Pini, and P. Vallarino. “Structure constants inN= 2 superconformal quiver theories at strong coupling and holography”. Phys. Rev. Lett.129.3 (2022), 031602. arXiv:2206.13582 [hep-th]

    work page arXiv 2022

  37. [37]

    Localization vs holography in 4dN = 2 quiver theories

    M. Billo, M. Frau, A. Lerda, A. Pini, and P. Vallarino. “Localization vs holography in 4dN = 2 quiver theories”. JHEP10(2022), 020. arXiv:2207.08846 [hep-th]

    work page arXiv 2022

  38. [38]

    Beccaria, G

    M. Beccaria, G. P. Korchemsky, and A. A. Tseytlin. “Strong coupling expansion inN= 2 superconformal theories and the Bessel kernel”. JHEP09(2022), 226. arXiv:2207.11475 [hep-th]

    work page arXiv 2022

  39. [39]

    The planar limit of theN= 2E-theory: numerical calculations and the largeλexpansion

    N. Bobev, P.-J. De Smet, and X. Zhang. “The planar limit of theN= 2E-theory: numerical calculations and the largeλexpansion”. (July 2022). arXiv:2207.12843 [hep-th]

    work page arXiv 2022

  40. [40]

    Strong coupling expansions inN= 2 quiver gauge theories

    M. Billo, M. Frau, A. Lerda, A. Pini, and P. Vallarino. “Strong coupling expansions inN= 2 quiver gauge theories”. JHEP01(2023), 119. arXiv:2211.11795 [hep-th]

    work page arXiv 2023

  41. [41]

    The planar limit ofN= 2 supercon- formal quiver theories

    B. Fiol, J. Martfnez-Montoya, and A. Rios Fukelman. “The planar limit ofN= 2 supercon- formal quiver theories”. JHEP08(2020), 161. arXiv:2006.06379 [hep-th]. 26

    work page arXiv 2020

  42. [42]

    BPS Wilson loops in generic conformalN= 2 SU(N) SYM theories

    M. Billo, F. Galvagno, and A. Lerda. “BPS Wilson loops in generic conformalN= 2 SU(N) SYM theories”. JHEP08(2019), 108. arXiv:1906.07085 [hep-th]

    work page arXiv 2019

  43. [43]

    Quiver CFT at Strong Coupling

    K. Zarembo. “Quiver CFT at Strong Coupling”. JHEP06(2020), 055. arXiv:2003.00993 [hep-th]

    work page arXiv 2020

  44. [44]

    Wilson loop correlators inN= 2 superconformal quivers

    F. Galvagno and M. Preti. “Wilson loop correlators inN= 2 superconformal quivers”. JHEP 11(2021), 023. arXiv:2105.00257 [hep-th]

    work page arXiv 2021

  45. [45]

    1/Nexpansion of circular Wilson loop inN= 2 super- conformalSU(N)×SU(N) quiver

    M. Beccaria and A. A. Tseytlin. “1/Nexpansion of circular Wilson loop inN= 2 super- conformalSU(N)×SU(N) quiver”. JHEP04(2021), 265. arXiv:2102.07696 [hep-th]

    work page arXiv 2021

  46. [46]

    BPS Wilson loop inN= 2 superconformal SU(N) “orientifold

    M. Beccaria, G. V. Dunne, and A. A. Tseytlin. “BPS Wilson loop inN= 2 superconformal SU(N) “orientifold” gauge theory and weak-strong coupling interpolation”. JHEP07(2021),

    2021

  47. [47]

    arXiv:2104.12625 [hep-th]

    work page arXiv

  48. [48]

    Defect correlators in aN= 2 SCFT at strong coupling

    A. Pini and P. Vallarino. “Defect correlators in aN= 2 SCFT at strong coupling”. JHEP 06(2023), 050. arXiv:2303.08210 [hep-th]

    work page arXiv 2023

  49. [49]

    Tracy-Widom Distribution in Four-Dimensional Supersymmetric Yang-Mills Theories

    Z. Bajnok, B. Boldis, and G. P. Korchemsky. “Tracy-Widom Distribution in Four-Dimensional Supersymmetric Yang-Mills Theories”. Phys. Rev. Lett.133.3 (2024), 031601. arXiv:2403. 13050 [hep-th]

    2024

  50. [50]

    Solving four-dimensional superconformal Yang-Mills theories with Tracy-Widom distribution

    Z. Bajnok, B. Boldis, and G. P. Korchemsky. “Solving four-dimensional superconformal Yang-Mills theories with Tracy-Widom distribution”. JHEP04(2025), 005. arXiv:2409. 17227 [hep-th]

    2025

  51. [51]

    Bajnok, B

    Z. Bajnok, B. Boldis, and G. P. Korchemsky. “Exploring superconformal Yang-Mills the- ories through matrix Bessel kernels”. SciPost Phys.19.1 (2025), 004. arXiv:2412.08732 [hep-th]

    work page arXiv 2025

  52. [52]

    Bajnok, B

    Z. Bajnok, B. Boldis, and D. le Plat. “Universality in the resurgence of generalized Tracy- Widom distributions”. Phys. Lett. B874(2026), 140232. arXiv:2509.20302 [hep-th]

    work page arXiv 2026

  53. [53]

    Strong-coupling results in (non-)conformal $\mathcal{N}=2$ theories with fundamental flavors

    M. Billo, A. Lerda, and A. Testa. “Strong-coupling results in (non-)conformalN= 2 theories with fundamental flavors”. (May 2026). arXiv:2605.16521 [hep-th]

    work page internal anchor Pith review Pith/arXiv arXiv 2026

  54. [54]

    Strong coupling expansion of free energy and BPS Wilson loop inN= 2 superconformal models with fundamental hypermultiplets

    M. Beccaria, G. V. Dunne, and A. A. Tseytlin. “Strong coupling expansion of free energy and BPS Wilson loop inN= 2 superconformal models with fundamental hypermultiplets”. JHEP08(2021), 102. arXiv:2105.14729 [hep-th]

    work page arXiv 2021

  55. [55]

    Integrated correlators in aN= 2 SYM theory with fundamental flavors: a matrix-model perspective

    M. Billo, M. Frau, A. Lerda, A. Pini, and P. Vallarino. “Integrated correlators in aN= 2 SYM theory with fundamental flavors: a matrix-model perspective”. JHEP11(2024), 172. arXiv:2407.03509 [hep-th]

    work page arXiv 2024

  56. [56]

    N= 2 universality at strong coupling

    L. De Lillo, Z. Duan, M. Frau, F. Galvagno, A. Lerda, P. Vallarino, and C. Wen. “N= 2 universality at strong coupling”. JHEP02(2026), 019. arXiv:2510.27594 [hep-th]

    work page arXiv 2026

  57. [57]

    The grin of Cheshire cat resurgence from supersymmetric localization

    D. Dorigoni and P. Glass. “The grin of Cheshire cat resurgence from supersymmetric local- ization”. SciPost Phys.4.2 (2018), 012. arXiv:1711.04802 [hep-th]

    work page internal anchor Pith review Pith/arXiv arXiv 2018

  58. [58]

    Non-perturbative corrections to line defect integrated correlators inSp(N) SCFTs

    L. De Lillo and A. Pini. “Non-perturbative corrections to line defect integrated correlators inSp(N) SCFTs”. (Feb. 2026). arXiv:2602.06727 [hep-th]

    work page arXiv 2026

  59. [59]

    Localization of gauge theory on a four-sphere and supersymmetric Wilson loops

    V. Pestun. “Localization of gauge theory on a four-sphere and supersymmetric Wilson loops”. Commun. Math. Phys.313(2012), 71–129. arXiv:0712.2824 [hep-th]. 27

    work page internal anchor Pith review Pith/arXiv arXiv 2012

  60. [60]

    Seiberg-Witten Prepotential From Instanton Counting

    N. A. Nekrasov. “Seiberg-Witten prepotential from instanton counting”. Adv. Theor. Math. Phys.7.5 (2003), 831–864. arXiv:hep-th/0206161

    work page internal anchor Pith review Pith/arXiv arXiv 2003

  61. [61]

    Seiberg-Witten Theories on Ellipsoids

    N. Hama and K. Hosomichi. “Seiberg-Witten Theories on Ellipsoids”. JHEP09(2012). [Addendum: JHEP 10, 051 (2012)], 033. arXiv:1206.6359 [hep-th]

    work page internal anchor Pith review Pith/arXiv arXiv 2012

  62. [62]

    Structure Constants and Conformal Bootstrap in Liouville Field Theory

    A. B. Zamolodchikov and A. B. Zamolodchikov. “Structure constants and conformal boot- strap in Liouville field theory”. Nucl. Phys. B477(1996), 577–605. arXiv:hep-th/9506136

    work page internal anchor Pith review Pith/arXiv arXiv 1996

  63. [63]

    Liouville Field Theory -- A decade after the revolution

    Y. Nakayama. “Liouville field theory: A Decade after the revolution”. Int. J. Mod. Phys. A 19(2004), 2771–2930. arXiv:hep-th/0402009

    work page internal anchor Pith review Pith/arXiv arXiv 2004

  64. [64]

    Two-point Correlators in N=2 Gauge Theories

    M. Billo, F. Fucito, A. Lerda, J. F. Morales, Y. S. Stanev, and C. Wen. “Two-point Cor- relators in N=2 Gauge Theories”. Nucl. Phys.B926(2018), 427–466. arXiv:1705.02909 [hep-th]

    work page internal anchor Pith review Pith/arXiv arXiv 2018

  65. [65]

    An Exact Prediction of N=4 SUSYM Theory for String Theory

    N. Drukker and D. J. Gross. “An Exact prediction of N=4 SUSYM theory for string theory”. J. Math. Phys.42(2001), 2896–2914. arXiv:hep-th/0010274

    work page internal anchor Pith review Pith/arXiv arXiv 2001

  66. [66]

    Wilson Loops in N=4 Supersymmetric Yang--Mills Theory

    J. K. Erickson, G. W. Semenoff, and K. Zarembo. “Wilson loops in N=4 supersymmetric Yang-Mills theory”. Nucl. Phys. B582(2000), 155–175. arXiv:hep-th/0003055

    work page internal anchor Pith review Pith/arXiv arXiv 2000

  67. [67]

    Wilson loop correlators at strong coupling inN= 2 quiver gauge theories

    A. Pini and P. Vallarino. “Wilson loop correlators at strong coupling inN= 2 quiver gauge theories”. JHEP11(2023), 003. arXiv:2308.03848 [hep-th]

    work page arXiv 2023

  68. [68]

    Non-planar corrections in orbifold/ori- entifoldN= 2 superconformal theories from localization

    M. Beccaria, G. P. Korchemsky, and A. A. Tseytlin. “Non-planar corrections in orbifold/ori- entifoldN= 2 superconformal theories from localization”. JHEP05(2023), 165. arXiv: 2303.16305 [hep-th]

    work page arXiv 2023

  69. [69]

    I. S. Gradshteyn and I. M. Ryzhik.Table of integrals, series, and products. Seventh. Edited by A. Jeffrey and D. Zwillinger. Elsevier/Academic Press, 2007

    2007

  70. [70]

    Exact strong coupling results inN = 2 Sp(2N) superconformal gauge theory from localization

    M. Beccaria, G. P. Korchemsky, and A. A. Tseytlin. “Exact strong coupling results inN = 2 Sp(2N) superconformal gauge theory from localization”. JHEP01(2023), 037. arXiv: 2210.13871 [hep-th]

    work page arXiv 2023

  71. [71]

    Integrated line-defect correlators in Sp(N) SCFTs at strong coupling

    L. De Lillo, M. Frau, and A. Pini. “Integrated line-defect correlators in Sp(N) SCFTs at strong coupling”. JHEP06(2025), 078. arXiv:2503.04902 [hep-th]

    work page arXiv 2025

  72. [72]

    Electromagnetic duality for line defect correlators inN= 4 super Yang-Mills theory

    D. Dorigoni, Z. Duan, D. R. Pavarini, C. Wen, and H. Xie. “Electromagnetic duality for line defect correlators inN= 4 super Yang-Mills theory”. JHEP11(2024), 084. arXiv: 2409.12786 [hep-th]

    work page arXiv 2024

  73. [73]

    1/4 BPS circular loops, unstable world-sheet instantons and the matrix model

    N. Drukker. “1/4 BPS circular loops, unstable world-sheet instantons and the matrix model”. JHEP09(2006), 004. arXiv:hep-th/0605151

    work page internal anchor Pith review Pith/arXiv arXiv 2006

  74. [74]

    Scattering From (p, q)-Strings in AdS 5 ×S 5

    S. S. Pufu, V. A. Rodriguez, and Y. Wang. “Scattering From (p, q)-Strings in AdS 5 ×S 5”. (May 2023). arXiv:2305.08297 [hep-th]. 28

    work page arXiv 2023