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arxiv: 2412.03588 · v3 · submitted 2024-11-27 · 🧮 math-ph · hep-th· math.DG· math.GT· math.MP

Spectral Networks: Bridging higher-rank Teichm\"uller theory and BPS states

Clarence Kineider , Georgios Kydonakis , Eugen Rogozinnikov , Valdo Tatitscheff , Alexander Thomas This is my paper

Pith reviewed 2026-05-23 16:46 UTC · model grok-4.3

classification 🧮 math-ph hep-thmath.DGmath.GTmath.MP
keywords spectral networksTeichmüller theoryBPS statesclass S theoriescharacter varietiesabelianizationsupersymmetric gauge theoriesHitchin representations
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The pith

Spectral networks link higher-rank Teichmüller theory to BPS spectra via abelianization maps.

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

The book introduces spectral networks as a single framework that addresses both higher-rank Teichmüller theory and the BPS spectra of class S theories. It first surveys the required algebra, geometry including Fock-Goncharov theory and Theta-positivity, and the physics of Seiberg-Witten theory and electric-magnetic duality. Spectral networks are then shown to define abelianization and non-abelianization maps on character varieties while also determining BPS spectra. A reader would care because the parallel treatment lets geometric tools inform physical calculations and vice versa within one setting.

Core claim

Spectral networks serve as a framework for determining and analyzing BPS spectra in class S theories while defining abelianization and non-abelianization maps for the study of character varieties, with geometric and physical aspects treated in parallel throughout.

What carries the argument

Spectral networks, which define abelianization and non-abelianization maps to connect character varieties with BPS spectra.

If this is right

  • The abelianization and non-abelianization maps let character varieties be studied directly through spectral networks.
  • BPS spectra in class S theories become computable and classifiable via the same networks.
  • The final chapter indicates that these networks support applications across multiple current research topics in geometry and physics.
  • Parallel development of maximal representations and Theta-positivity proceeds alongside electric-magnetic duality.

Where Pith is reading between the lines

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

  • The same networks could supply new geometric constraints on BPS state counts that are hard to obtain from purely physical methods.
  • Analogous constructions might extend the approach to other four-dimensional theories with eight supercharges outside the class S setting.
  • The emphasis on Hitchin representations suggests possible links to higher Teichmüller spaces that have not yet been explored via spectral networks.

Load-bearing premise

A single unified viewpoint can effectively treat geometric aspects of higher-rank Teichmüller theory and physical aspects of four-dimensional gauge dynamics with eight supercharges in parallel without loss of rigor or insight.

What would settle it

A concrete class S theory in which the BPS spectrum obtained from the spectral network fails to match the spectrum computed by independent Seiberg-Witten or quiver methods.

Figures

Figures reproduced from arXiv: 2412.03588 by Alexander Thomas, Clarence Kineider, Eugen Rogozinnikov, Georgios Kydonakis, Valdo Tatitscheff.

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read the original abstract

This book offers a comprehensive introduction to spectral networks from a unified viewpoint that bridges geometry with the physics of supersymmetric gauge theories. It provides the foundational background needed to approach the frontiers of this rapidly evolving field, treating geometric and physical aspects in parallel. After surveying fundamental topics in algebra and geometry, a detailed introduction to higher-rank Teichm\"uller theory is developed, including Fock-Goncharov theory for Hitchin representations, maximal representations and the more recent notion of $\Theta$-positivity. Spectral networks are subsequently introduced, emphasizing their utility in the study of character varieties via the abelianization and non-abelianization maps they define. In parallel, key aspects of four-dimensional gauge dynamics with eight supercharges are explored, including electric-magnetic duality, Seiberg-Witten theory, and class $\mathcal S$ theories. The role of spectral networks as a framework for determining and analyzing BPS spectra in class $\mathcal S$ theories is then examined. The final chapter outlines recent applications of spectral networks across a range of contemporary research areas. This volume is intended for researchers and advanced students in either mathematics or physics who wish to enter the field.

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

0 major / 1 minor

Summary. The manuscript is a book-length expository survey offering a unified introduction to spectral networks. It surveys background algebra and geometry, develops higher-rank Teichmüller theory (Fock-Goncharov theory for Hitchin representations, maximal representations, and Θ-positivity), introduces spectral networks together with the abelianization and non-abelianization maps they induce on character varieties, treats four-dimensional N=2 gauge dynamics (electric-magnetic duality, Seiberg-Witten theory, class S theories), and examines the use of spectral networks for BPS spectra in class S theories before outlining recent applications.

Significance. As an expository monograph the work has potential value in providing parallel geometric and physical perspectives on a rapidly developing interface; its utility rests on the accuracy and pedagogical clarity of the synthesis rather than on any new theorem or quantitative prediction.

minor comments (1)
  1. [Abstract] The abstract states that the volume is 'intended for researchers and advanced students in either mathematics or physics'; the introduction could usefully include a short roadmap indicating which chapters presuppose which background.

Simulated Author's Rebuttal

0 responses · 0 unresolved

We thank the referee for their careful reading and positive assessment of the manuscript. The referee's summary accurately reflects the expository goals of the work, and we are pleased by the recommendation to accept.

Circularity Check

0 steps flagged

No significant circularity; purely expository survey

full rationale

The paper is a survey monograph providing a comprehensive introduction to spectral networks, higher-rank Teichmüller theory, and class S theories. It surveys existing results without advancing novel theorems, predictions, or quantitative claims. No derivation chains, fitted parameters, or self-referential steps are present; the parallel treatment of geometry and physics is a pedagogical framing, not a deductive claim. The work is self-contained as an expository unification of known material with no load-bearing reductions to inputs.

Axiom & Free-Parameter Ledger

0 free parameters · 0 axioms · 0 invented entities

This is an expository survey; the ledger contains no free parameters, axioms, or invented entities introduced by the authors.

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Reference graph

Works this paper leans on

293 extracted references · 293 canonical work pages · cited by 2 Pith papers · 102 internal anchors

  1. [1]

    Magnetic Monopoles in Unified Gauge Theories

    G. ’t Hooft. “Magnetic Monopoles in Unified Gauge Theories.”Nucl. Phys. B79 (1974). Ed. by J. C. Taylor, pp. 276–284.doi: 10.1016/0550-3213(74)90486-6

    work page doi:10.1016/0550-3213(74)90486-6 1974

  2. [2]

    Axial vector vertex in spinor electrodynamics

    S. L. Adler. “Axial vector vertex in spinor electrodynamics.”Phys. Rev.177 (1969), pp. 2426–2438.doi: 10.1103/PhysRev.177.2426

    work page doi:10.1103/physrev.177.2426 1969

  3. [3]

    Anomalies to All Orders

    S. L. Adler. “Anomalies to all orders.”50 years of Yang-Mills theory. Ed. by G. ’t Hooft. 2005, pp. 187–228.doi: 10.1142/9789812567147_0009. arXiv:hep-th/0405040

    work page internal anchor Pith review Pith/arXiv arXiv doi:10.1142/9789812567147_0009 2005

  4. [4]

    SupersymmetryBreakingbyInstantons

    I.Affleck,M.Dine,andN.Seiberg.“SupersymmetryBreakingbyInstantons.” Phys.Rev. Lett.51 (1983), p. 1026.doi: 10.1103/PhysRevLett.51.1026

    work page doi:10.1103/physrevlett.51.1026 1983

  5. [5]

    Dynamical Supersymmetry Breaking in Super- symmetric QCD

    I. Affleck, M. Dine, and N. Seiberg. “Dynamical Supersymmetry Breaking in Super- symmetric QCD.”Nucl. Phys. B 241 (1984), pp. 493–534.doi: 10 . 1016 / 0550 - 3213(84)90058-0

    work page 1984

  6. [6]

    Dynamical Supersymmetry Breaking in Four- DimensionsandItsPhenomenologicalImplications

    I. Affleck, M. Dine, and N. Seiberg. “Dynamical Supersymmetry Breaking in Four- DimensionsandItsPhenomenologicalImplications.” Nucl.Phys.B 256(1985),pp.557–

    work page 1985

  7. [7]

    doi: 10.1016/0550-3213(85)90408-0

    work page doi:10.1016/0550-3213(85)90408-0

  8. [8]

    Large N Field Theories, String Theory and Gravity

    O.Aharony,S.S.Gubser,J.M.Maldacena,H.Ooguri,andY.Oz.“LargeNfieldtheories, string theory and gravity.”Phys. Rept.323 (2000), pp. 183–386.doi: 10.1016/S0370- 1573(99)00083-6. arXiv:hep-th/9905111

    work page internal anchor Pith review Pith/arXiv arXiv doi:10.1016/s0370- 2000

  9. [9]

    Aharony, N

    O.Aharony,N.Seiberg,andY.Tachikawa.“Readingbetweenthelinesoffour-dimensional gauge theories.”JHEP 08 (2013), p. 115.doi: 10 . 1007 / JHEP08(2013 ) 115. arXiv: 1305.0318 [hep-th]

    work page arXiv 2013

  10. [10]

    S-folds and 4d N=3 superconformal field theories

    O. Aharony, Y. Tachikawa, and K. Gomi. “S-folds and 4d N=3 superconformal field theories.”JHEP 06 (2016), p. 044.doi: 10.1007/JHEP06(2016)044 . arXiv: 1602. 08638 [hep-th]

    work page doi:10.1007/jhep06(2016)044 2016

  11. [11]

    The hitchhiker’s guide to 4dN = 2 superconformal field theories

    M.Akhond,G.Arias-Tamargo,A.Mininno,H.-Y.Sun,Z.Sun,Y.Wang,andF.Xu.“The hitchhiker’s guide to 4dN = 2 superconformal field theories.”SciPost Phys. Lect. Notes 64 (2022), p. 1.doi: 10 . 21468 / SciPostPhysLectNotes . 64. arXiv: 2112 . 14764 [hep-th]

    work page 2022

  12. [12]

    Loop and surface operators in N=2 gauge theory and Liouville modular geometry

    L. F. Alday, D. Gaiotto, S. Gukov, Y. Tachikawa, and H. Verlinde. “Loop and surface operatorsinN=2gaugetheoryandLiouvillemodulargeometry.” JHEP01(2010),p.113. doi: 10.1007/JHEP01(2010)113. arXiv:0909.0945 [hep-th]

    work page internal anchor Pith review Pith/arXiv arXiv doi:10.1007/jhep01(2010)113 2010

  13. [13]

    Liouville Correlation Functions from Four-dimensional Gauge Theories

    L. F. Alday, D. Gaiotto, and Y. Tachikawa. “Liouville Correlation Functions from Four- dimensional Gauge Theories.”Lett. Math. Phys.91 (2010), pp. 167–197.doi: 10.1007/ s11005-010-0369-5. arXiv:0906.3219 [hep-th]

    work page internal anchor Pith review Pith/arXiv arXiv 2010

  14. [14]

    Alessandrini

    D. Alessandrini. Introduction to Spectral Networks. Mini-course at University of Illinois at Urbana-Champaign. 2014. 445 446 A Lie theory essentials

    work page 2014

  15. [15]

    Symplec- tic groups over noncommutative algebras

    D.Alessandrini,A.Berenstein,V.Retakh,E.Rogozinnikov,andA.Wienhard.“Symplec- tic groups over noncommutative algebras.”Selecta Mathematica28.4 (2022), p. 82.doi: 10.1007/s00029-022-00787-x. arXiv:2106.08736 [math.DG]

    work page doi:10.1007/s00029-022-00787-x 2022

  16. [16]

    Alessandrini, O

    D. Alessandrini, O. Guichard, E. Rogozinnikov, and A. Wienhard.Noncommutative co- ordinates for symplectic representations. Vol. 1504. Mem. Am. Math. Soc. Providence, RI: American Mathematical Society (AMS), 2024.isbn: 978-1-4704-7930-5. doi: 10. 1090/memo/1504. arXiv:1911.08014 [math.DG]

    work page arXiv 2024

  17. [17]

    BPS Quivers and Spectra of Complete N=2 Quantum Field Theories

    M.Alim,S.Cecotti,C.Cordova,S.Espahbodi,A.Rastogi,andC.Vafa.“BPSQuiversand Spectra of Complete N=2 Quantum Field Theories.”Commun. Math. Phys.323 (2013), pp. 1185–1227.doi: 10.1007/s00220-013-1789-8. arXiv:1109.4941 [hep-th]

    work page internal anchor Pith review Pith/arXiv arXiv doi:10.1007/s00220-013-1789-8 2013

  18. [18]

    N=2 Quantum Field Theories and Their BPS Quivers

    M.Alim,S.Cecotti,C.Cordova,S.Espahbodi,A.Rastogi,andC.Vafa.“ N = 2quantum field theories and their BPS quivers.”Adv. Theor. Math. Phys.18.1 (2014), pp. 27–127. doi: 10.4310/ATMP.2014.v18.n1.a2. arXiv:1112.3984 [hep-th]

    work page internal anchor Pith review Pith/arXiv arXiv doi:10.4310/atmp.2014.v18.n1.a2 2014

  19. [19]

    Quantum Curves, Resurgence and Exact WKB

    M. Alim, L. Hollands, and I. Tulli. “Quantum Curves, Resurgence and Exact WKB.” SIGMA 19 (2023), p. 009. doi: 10 . 3842 / SIGMA . 2023 . 009. arXiv: 2203 . 08249 [hep-th]

    work page 2023

  20. [20]

    Introduction to S-Duality in N=2 Supersymmetric Gauge Theory. (A pedagogical review of the work of Seiberg and Witten)

    L. Alvarez-Gaume and S. F. Hassan. “Introduction to S duality in N=2 supersymmetric gauge theories: A Pedagogical review of the work of Seiberg and Witten.”Fortsch. Phys. 45 (1997), pp. 159–236.doi: 10.1002/prop.2190450302. arXiv:hep-th/9701069

    work page internal anchor Pith review Pith/arXiv arXiv doi:10.1002/prop.2190450302 1997

  21. [21]

    Introductory Lectures on Quantum Field Theory

    L. Alvarez-Gaume and M. A. Vazquez-Mozo. “Introductory lectures on quantum field theory.”3rd CERN-CLAF School of High Energy Physics. 2006, pp. 1–80.doi: 10 . 5170/CERN-2006-015.1. arXiv:hep-th/0510040

    work page internal anchor Pith review Pith/arXiv arXiv 2006

  22. [22]

    Totally positive matrices

    T. Ando. “Totally positive matrices.”Linear algebra and its applications90 (1987), pp. 165–219

    work page 1987

  23. [23]

    An Introduction to Supersymmetric Gauge Theories and Matrix Models

    R.Argurio,G.Ferretti,andR.Heise.“AnIntroductiontosupersymmetricgaugetheories and matrix models.”Int. J. Mod. Phys. A19 (2004), pp. 2015–2078.doi: 10 . 1142 / S0217751X04018038. arXiv:hep-th/0311066

    work page internal anchor Pith review Pith/arXiv arXiv 2004

  24. [24]

    P. C. Argyres. An Introduction to Global Supersymmetry. University of Cornell Lecture Notes. 2001

    work page 2001

  25. [26]

    New Phenomena in SU(3) Supersymmetric Gauge Theory

    P. C. Argyres and M. R. Douglas. “New phenomena in SU(3) supersymmetric gauge theory.”Nucl. Phys. B448 (1995), pp. 93–126.doi: 10.1016/0550-3213(95)00281- V. arXiv:hep-th/9505062

    work page internal anchor Pith review Pith/arXiv arXiv doi:10.1016/0550-3213(95)00281- 1995

  26. [27]

    The Vacuum Structure and Spectrum of N=2 Supersymmetric SU(N) Gauge Theory

    P. C. Argyres and A. E. Faraggi. “The vacuum structure and spectrum of N=2 su- persymmetric SU(n) gauge theory.”Phys. Rev. Lett.74 (1995), pp. 3931–3934.doi: 10.1103/PhysRevLett.74.3931. arXiv:hep-th/9411057

    work page internal anchor Pith review Pith/arXiv arXiv doi:10.1103/physrevlett.74.3931 1995

  27. [28]

    The Moduli Space of N=2 SUSY QCD and Duality in N=1 SUSY QCD

    P. C. Argyres, M. R. Plesser, and N. Seiberg. “The Moduli space of vacua of N=2 SUSY QCD and duality in N=1 SUSY QCD.”Nucl. Phys. B471 (1996), pp. 159–194.doi: 10.1016/0550-3213(96)00210-6. arXiv:hep-th/9603042

    work page internal anchor Pith review Pith/arXiv arXiv doi:10.1016/0550-3213(96)00210-6 1996

  28. [30]

    The Coulomb Phase of N=2 Supersymmetric QCD

    P. C. Argyres, M. R. Plesser, and A. D. Shapere. “The Coulomb phase of N=2 supersym- metricQCD.”Phys.Rev.Lett. 75(1995),pp.1699–1702. doi: 10.1103/PhysRevLett. 75.1699. arXiv:hep-th/9505100

    work page internal anchor Pith review Pith/arXiv arXiv doi:10.1103/physrevlett 1995

  29. [31]

    S-duality in N=2 supersymmetric gauge theories

    P. C. Argyres and N. Seiberg. “S-duality in N=2 supersymmetric gauge theories.”JHEP 12 (2007), p. 088. doi: 10 . 1088 / 1126 - 6708 / 2007 / 12 / 088. arXiv: 0711 . 0054 [hep-th]

    work page 2007

  30. [32]

    The Vacuum Structure of N=2 SuperQCD with Classical Gauge Groups

    P.C.ArgyresandA.D.Shapere.“TheVacuumstructureofN=2superQCDwithclassical gauge groups.”Nucl. Phys. B461 (1996), pp. 437–459.doi: 10.1016/0550-3213(95) 00661-3. arXiv:hep-th/9509175. A.3 Levi decomposition, parabolics and flag varieties 447

    work page internal anchor Pith review Pith/arXiv arXiv doi:10.1016/0550-3213(95 1996

  31. [33]

    Holomorphy, Rescaling Anomalies and Exact beta Functions in Supersymmetric Gauge Theories

    N. Arkani-Hamed and H. Murayama. “Holomorphy, rescaling anomalies and exact beta functions in supersymmetric gauge theories.”JHEP 06 (2000), p. 030.doi: 10.1088/ 1126-6708/2000/06/030. arXiv:hep-th/9707133

    work page internal anchor Pith review Pith/arXiv arXiv 2000

  32. [34]

    V. I. Arnold. Mathematical methods of classical mechanics. Translated by K. Vogtman and A. Weinstein. Vol. 60. Grad. Texts Math. Springer, Cham, 1978

    work page 1978

  33. [35]

    TheYang-MillsequationsoverRiemannsurfaces

    M.F.AtiyahandR.Bott.“TheYang-MillsequationsoverRiemannsurfaces.” Phil.Trans. Roy. Soc. Lond. A308 (1982), pp. 523–615

    work page 1982

  34. [36]

    Instantons and Algebraic Geometry

    M. F. Atiyah and R. S. Ward. “Instantons and Algebraic Geometry.”Commun. Math. Phys.55 (1977), pp. 117–124.doi: 10.1007/BF01626514

    work page doi:10.1007/bf01626514 1977

  35. [37]

    Atiyah, Inst

    M. Atiyah. “Topological quantum field theories.”Publ. Math., Inst. Hautes Étud. Sci.68 (1988), pp. 175–186.issn: 0073-8301.doi: 10.1007/BF02698547

    work page doi:10.1007/bf02698547 1988

  36. [38]

    Self-dualityinfour-dimensionalRiemannian geometry

    M.F.Atiyah,N.J.Hitchin,andI.M.Singer.“Self-dualityinfour-dimensionalRiemannian geometry.”Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences 362.1711 (1978), pp. 425–461

    work page 1978

  37. [39]

    Nonabelianization, Spectral data and cameral data

    B. J. R. Morrissey. “Nonabelianization, Spectral data and cameral data.” PhD thesis. University of Pennsylvania, 2020

    work page 2020

  38. [40]

    Gaugefields,knotsandgravity .SeriesonKnotsandEverything Vol

    J.BaezandJ.P.Muniain. Gaugefields,knotsandgravity .SeriesonKnotsandEverything Vol. 4. World Scientific, 1995

    work page 1995

  39. [42]

    Exponential BPS graphs and D-brane counting on toric Calabi-Yau threefolds: Part II

    S. Banerjee, P. Longhi, and M. Romo. “Exponential BPS graphs and D-brane counting on toric Calabi-Yau threefolds: Part II” (Dec. 2020). arXiv:2012.09769 [hep-th]

    work page arXiv 2020

  40. [43]

    Exponential BPS Graphs and D Brane Counting onToricCalabi-YauThreefolds:PartI

    S. Banerjee, P. Longhi, and M. Romo. “Exponential BPS Graphs and D Brane Counting onToricCalabi-YauThreefolds:PartI.”Commun.Math.Phys. 388.2(2021),pp.893–945. doi: 10.1007/s00220-021-04242-4. arXiv:1910.05296 [hep-th]

    work page doi:10.1007/s00220-021-04242-4 2021

  41. [45]

    Exponential Networks for Linear Partitions

    S. Banerjee, M. Romo, R. Senghaas, and J. Walcher. “Exponential Networks for Linear Partitions” (Mar. 2024). arXiv:2403.14588 [hep-th]

    work page arXiv 2024

  42. [46]

    Becker, M

    K. Becker, M. Becker, and J. H. Schwarz.String theory and M-theory: A modern in- troduction. Cambridge University Press, Dec. 2006.isbn: 978-0-511-81608-6.doi: 10. 1017/CBO9780511816086

    work page 2006

  43. [47]

    Opers

    A. Beilinson and V. Drinfeld. “Opers” (2005). arXiv:math/0501398

    work page internal anchor Pith review Pith/arXiv arXiv 2005

  44. [48]

    Pseudoparticle Solutions of the Yang-Mills Equations

    A. A. Belavin, A. M. Polyakov, A. S. Schwartz, and Y. S. Tyupkin. “Pseudoparticle Solutions of the Yang-Mills Equations.”Phys. Lett. B59 (1975). Ed. by J. C. Taylor, pp. 85–87.doi: 10.1016/0370-2693(75)90163-X

    work page doi:10.1016/0370-2693(75)90163-x 1975

  45. [49]

    A PCAC puzzle:𝜋0 → 𝛾𝛾 in the𝜎 model

    J. S. Bell and R. Jackiw. “A PCAC puzzle:𝜋0 → 𝛾𝛾 in the𝜎 model.”Nuovo Cim. A60 (1969), pp. 47–61.doi: 10.1007/BF02823296

    work page doi:10.1007/bf02823296 1969

  46. [50]

    Benedetti and C

    R. Benedetti and C. Petronio.Lectures on hyperbolic geometry. Universitext. Berlin etc.: Springer-Verlag, 1992.isbn: 3-540-55534-X

    work page 1992

  47. [51]

    Cluster algebras III: Upper bounds and double Bruhat cells

    A. Berenstein, S. Fomin, and A. Zelevinsky. “Cluster algebras. III: Upper bounds and double Bruhat cells.”Duke Math. J. 126.1 (2005), pp. 1–52.issn: 0012-7094. doi: 10.1215/S0012-7094-04-12611-9. arXiv:math/0305434

    work page internal anchor Pith review Pith/arXiv arXiv doi:10.1215/s0012-7094-04-12611-9 2005

  48. [52]

    Seiberg Duality for Quiver Gauge Theories

    D.BerensteinandM.R.Douglas.“Seibergdualityforquivergaugetheories”(July2002). arXiv: hep-th/0207027

    work page internal anchor Pith review Pith/arXiv arXiv

  49. [53]

    Supersymmetry.FromtheBasicstoExactResultsinGaugeTheories .Lecture NotesinPhysicsVol.86.WorldScientific,2024

    M.Bertolini. Supersymmetry.FromtheBasicstoExactResultsinGaugeTheories .Lecture NotesinPhysicsVol.86.WorldScientific,2024. isbn:978-981-98-0024-7. doi: 10.1142/ 14026

    work page 2024

  50. [54]

    Positivity, cross-ratios and the collar lemma

    J.Beyrer,O.Guichard,F.Labourie,B.Pozzetti,andA.Wienhard.“Positivity,cross-ratios and the Collar Lemma” (2024). arXiv:2409.06294 [math.DG]

    work page arXiv 2024

  51. [55]

    Positive surface group representations in PO(p, q)

    J. Beyrer and B. Pozzetti. “Positive surface group representations in PO(p,q)” (2021). arXiv: 2106.14725 [math.GT]. 448 A Lie theory essentials

    work page arXiv 2021

  52. [56]

    Lectures on Generalized Symmetries

    L.Bhardwaj,L.E.Bottini,L.Fraser-Taliente,L.Gladden,D.S.W.Gould,A.Platschorre, and H. Tillim.“Lectureson generalized symmetries.”Phys. Rept.1051 (2024), pp.1–87. doi: 10.1016/j.physrep.2023.11.002. arXiv:2307.07547 [hep-th]

    work page internal anchor Pith review Pith/arXiv arXiv doi:10.1016/j.physrep.2023.11.002 2024

  53. [57]

    Instantons and Supersymmetry

    M.Bianchi,S.Kovacs,andG.Rossi.“InstantonsandSupersymmetry.” Lect.NotesPhys. 737 (2008), pp. 303–470. arXiv:hep-th/0703142

    work page internal anchor Pith review Pith/arXiv arXiv 2008

  54. [58]

    On the origin of W algebras

    A. Bilal, V. V. Fock, and I. I. Kogan. “On the origin of W algebras.”Nucl. Phys. B359 (1991), pp. 635–672.doi: 10.1016/0550-3213(91)90075-9

    work page doi:10.1016/0550-3213(91)90075-9 1991

  55. [59]

    Introduction to Supersymmetry

    A. Bilal. “Introduction to supersymmetry” (Jan. 2001). arXiv:hep-th/0101055

    work page internal anchor Pith review Pith/arXiv arXiv 2001

  56. [60]

    Lectures on Anomalies

    A. Bilal. “Lectures on Anomalies” (Feb. 2008). arXiv:0802.0634 [hep-th]

    work page internal anchor Pith review Pith/arXiv arXiv 2008

  57. [61]

    Curves of Marginal Stability and Weak and Strong-Coupling BPS Spectra in $N=2$ Supersymmetric QCD

    A. Bilal and F. Ferrari. “Curves of marginal stability, and weak and strong coupling BPS spectra in N=2 supersymmetric QCD.”Nucl. Phys. B480 (1996), pp. 589–622.doi: 10.1016/S0550-3213(96)00480-4. arXiv:hep-th/9605101

    work page internal anchor Pith review Pith/arXiv arXiv doi:10.1016/s0550-3213(96)00480-4 1996

  58. [62]

    StabilityofClassicalSolutions

    E.B.Bogomolny.“StabilityofClassicalSolutions.” Sov.J.Nucl.Phys. 24(1976),p.449

    work page 1976

  59. [63]

    Quantum traces for representations of surface groups in SL(2,C)

    F. Bonahon and H. Wong. “Quantum traces for representations of surface groups in SL(2,C).”Geom. Topol.15.3 (2011), pp. 1569–1615.issn: 1465-3060. doi: 10.2140/ gt.2011.15.1569

    work page 2011

  60. [64]

    Bourbaki

    N. Bourbaki. Eléments de mathématique. Groupes et algèbres de Lie. Chapitres 7 et 8. Reprintofthe1975original.Berlin:Springer,2006. isbn:3-540-33939-6. doi: 10.1007/ 978-3-540-33977-9

    work page 2006

  61. [65]

    GlobalpropertiesofHiggsbundlemodulispaces

    S.Bradlow.“GlobalpropertiesofHiggsbundlemodulispaces.” Modulispacesandvector bundles–newtrends.VBAC2022conferenceinhonorofPeterNewstead’s80thbirthday, University of Warwick, Coventry, United kingdom, July 25–29, 2022. Providence, RI: AmericanMathematicalSociety(AMS),2024,pp.39–77. isbn:978-1-4704-7646-5. doi: 10.1090/conm/803/16094. arXiv:2312.00762 [math.AG]

    work page doi:10.1090/conm/803/16094 2022

  62. [66]

    Bramley, L

    L. Bramley, L. Hollands, and S. Murugesan.Les Houches lectures on non-perturbative Seiberg-Witten geometry. Preprint, arXiv:2503.21742 [hep-th] (2025). 2025

    work page arXiv 2025

  63. [67]

    On the Monodromies of N=2 Supersymmetric Yang-Mills Theory with Gauge Group SO(2n)

    A.BrandhuberandK.Landsteiner.“OnthemonodromiesofN=2supersymmetricYang- Mills theory with gauge group SO(2n).”Phys. Lett. B358 (1995), pp. 73–80.doi: 10. 1016/0370-2693(95)00986-U. arXiv:hep-th/9507008

    work page internal anchor Pith review Pith/arXiv arXiv 1995

  64. [69]

    Quadratic differentials as stability conditions

    T. Bridgeland and I. Smith. “Quadratic differentials as stability conditions.”Publ. Math., Inst.HautesÉtud.Sci. 121(2015),pp.155–278. issn:0073-8301. doi: 10.1007/s10240- 014-0066-5. arXiv:2212.08433 [math.GT]

    work page doi:10.1007/s10240- 2015

  65. [70]

    An introduction to pressure metrics on higher Teichm\"uller spaces

    M. Bridgeman, R. Canary, and A. Sambarino. “An introduction to pressure metrics for higherTeichmüllerspaces.”ErgodicTheoryDyn.Syst. 38.6(2018),pp.2001–2035. issn: 0143-3857. doi: 10.1017/etds.2016.111. arXiv:1507.03894 [math.DG]

    work page internal anchor Pith review Pith/arXiv arXiv doi:10.1017/etds.2016.111 2018

  66. [71]

    La mécanique ondulatoire de Schrödinger; une méthode générale de ré- solution par approximations successives

    L. Brillouin. “La mécanique ondulatoire de Schrödinger; une méthode générale de ré- solution par approximations successives.”Compt. Rend. Hebd. Seances Acad. Sci.183 (1926), pp. 24–26

    work page 1926

  67. [72]

    Maximal Representations of Surface Groups: Symplectic Anosov Structures

    M. Burger, A. Iozzi, F. Labourie, and A. Wienhard. “Maximal representations of surface groups: symplectic Anosov structures.”Pure Appl. Math. Q.1.3 (2005), pp. 543–590. issn: 1558-8599.doi: 10.4310/PAMQ.2005.v1.n3.a5. arXiv:math/0506079

    work page internal anchor Pith review Pith/arXiv arXiv doi:10.4310/pamq.2005.v1.n3.a5 2005

  68. [73]

    Surface group representations with maximal Toledo invariant

    M. Burger, A. Iozzi, and A. Wienhard. “Surface group representations with maximal Toledo invariant.”C. R., Math., Acad. Sci. Paris336.5 (2003), pp. 387–390.issn: 1631- 073X. doi: 10.1016/S1631-073X(03)00065-7. arXiv:math/0605656

    work page internal anchor Pith review Pith/arXiv arXiv doi:10.1016/s1631-073x(03)00065-7 2003

  69. [74]

    Triangulationsofsurfaceswithboundaryandthehomotopyprinciplefor functions without critical points

    Y.M.Burman.“Triangulationsofsurfaceswithboundaryandthehomotopyprinciplefor functions without critical points.”Ann. Global Anal. Geom.17.3 (1999), pp. 221–238. issn: 0232-704X.doi: 10.1023/A:1006556632099

    work page doi:10.1023/a:1006556632099 1999

  70. [76]

    The quiver approach to the BPS spectrum of a 4d N=2 gauge theory

    S. Cecotti. “The quiver approach to the BPS spectrum of a 4d N=2 gauge theory.”Proc. Symp. Pure Math.90 (2015). Ed. by R. Donagi, S. Katz, A. Klemm, and D. R. Morrison, pp. 3–18. arXiv:1212.3431 [hep-th]

    work page internal anchor Pith review Pith/arXiv arXiv 2015

  71. [77]

    A New Supersymmetric Index

    S. Cecotti, P. Fendley, K. A. Intriligator, and C. Vafa. “A New supersymmetric index.” Nucl.Phys.B 386(1992),pp.405–452. doi: 10.1016/0550-3213(92)90572-S.arXiv: hep-th/9204102

    work page internal anchor Pith review Pith/arXiv arXiv doi:10.1016/0550-3213(92)90572-s.arxiv: 1992

  72. [78]

    On classification of N=2 supersymmetric theories

    S. Cecotti and C. Vafa. “On classification of N=2 supersymmetric theories.”Commun. Math. Phys.158 (1993), pp. 569–644.doi: 10.1007/BF02096804 . arXiv: hep- th/ 9211097

    work page doi:10.1007/bf02096804 1993

  73. [79]

    Tinkertoys for Gaiotto Duality

    O. Chacaltana and J. Distler. “Tinkertoys for Gaiotto Duality.”JHEP 11 (2010), p. 099. doi: 10.1007/JHEP11(2010)099. arXiv:1008.5203 [hep-th]

    work page internal anchor Pith review Pith/arXiv arXiv doi:10.1007/jhep11(2010)099 2010

  74. [80]

    Tinkertoys for the D_N series

    O. Chacaltana and J. Distler. “Tinkertoys for the𝐷𝑁 series.”JHEP 02 (2013), p. 110. doi: 10.1007/JHEP02(2013)110. arXiv:1106.5410 [hep-th]

    work page internal anchor Pith review Pith/arXiv arXiv doi:10.1007/jhep02(2013)110 2013

  75. [81]

    Nilpotent orbits and codimension-two defects of 6d N=(2,0) theories

    O.Chacaltana,J.Distler,andY.Tachikawa.“Nilpotentorbitsandcodimension-twodefects of 6d N=(2,0) theories.”Int. J. Mod. Phys. A28 (2013), p. 1340006.doi: 10.1142/ S0217751X1340006X. arXiv:1203.2930 [hep-th]

    work page internal anchor Pith review Pith/arXiv arXiv 2013

  76. [82]

    Gaiotto Duality for the Twisted A_{2N-1} Series

    O. Chacaltana, J. Distler, and Y. Tachikawa. “Gaiotto duality for the twisted𝐴2𝑁 −1 series.”JHEP 05 (2015), p. 075.doi: 10.1007/JHEP05(2015)075. arXiv:1212.3952 [hep-th]

    work page internal anchor Pith review Pith/arXiv arXiv doi:10.1007/jhep05(2015)075 2015

  77. [83]

    Tinkertoys for the $E_6$ Theory

    O.Chacaltana,J.Distler,andA.Trimm.“Tinkertoysforthe 𝐸6 theory.”JHEP09(2015), p. 007.doi: 10.1007/JHEP09(2015)007. arXiv:1403.4604 [hep-th]

    work page internal anchor Pith review Pith/arXiv arXiv doi:10.1007/jhep09(2015)007 2015

  78. [84]

    TinkertoysfortheTwisted 𝐷-Series

    O.Chacaltana,J.Distler,andA.Trimm.“TinkertoysfortheTwisted 𝐷-Series.”JHEP04 (2015), p. 173.doi: 10.1007/JHEP04(2015)173. arXiv:1309.2299 [hep-th]

    work page doi:10.1007/jhep04(2015)173 2015

  79. [85]

    Tinkertoys for the Twisted𝐸6 Theory

    O. Chacaltana, J. Distler, and A. Trimm. “Tinkertoys for the Twisted𝐸6 Theory” (Jan. 2015). arXiv:1501.00357 [hep-th]

    work page arXiv 2015

  80. [86]

    Tinkertoys for the Z3-twisted D4 Theory

    O.Chacaltana,J.Distler,andA.Trimm.“Tinkertoysforthe Z3-twisted 𝐷4 Theory”(Jan. 2016). arXiv:1601.02077 [hep-th]

    work page internal anchor Pith review Pith/arXiv arXiv 2016

Showing first 80 references.