Pith. sign in

REVIEW 5 minor 76 references

Formal Theory at ICHEP 2024

T0 review · 0 major / 5 minor · reviewed 2026-08-10 · deepseek-v4-flash

Challenge this review Re-run · record.json Download PDF Read on arXiv ↗

Pith's one-line read A cross-section of recent Formal Theory argues that the field is alive, citing precision holography, swampland constraints, and non-invertible symmetries.

desk verdict A solid, honest conference proceedings survey—not a research contribution—that gives a good map of formal theory, with a couple of small technical slips and a strong self-citation flavor in the generalized-symmetries section. read the letter →

arxiv 2412.21007 v1 pith:HSIKBE6W submitted 2024-12-30 hep-ph hep-th

Sakura Schafer-Nameki This is my paper · ORCID
classification hep-phhep-th
keywords formaltheoryscatteringamplitudesswamplandprogramAdS/CFTholographyflat-spacecelestialCarrolliangeneralizedsymmetries
topics Quantum Gravity
verification ladder T0 review T1 audit T2 compute T3 formal

The pith

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

The reading

These proceedings survey recent work in Formal Theory, defined as research that deepens the fundamental understanding of quantum field theory and quantum gravity while keeping phenomenological relevance in view. The paper argues that the field is thriving, pointing to precision results in scattering amplitudes, sharper swampland constraints on effective field theories, progress in AdS/CFT and flat-space holography, and the recognition that symmetries can be non-invertible and categorical rather than group-like. A sympathetic reader should care because these developments change what can be computed, such as string amplitudes in curved backgrounds and exact dualities in low dimensions, and because non-invertible symmetries already constrain Standard Model physics and offer a new classification of phases of matter.

What carries the argument

The argument is carried by pairing each frontier with a specific precision tool. For holography, the AdS/CFT dictionary converts bulk quantum-gravity amplitudes into boundary CFT correlators, making an exact duality and a conjectured string amplitude the load-bearing examples. For generalized symmetries, the central mechanism is the definition of a global symmetry as a topological operator, an object independent of the metric shape, which immediately generalizes from group symmetries acting on points to higher-form symmetries acting on extended operators and to non-invertible (categorical) symmetries whose composition is a sum rather than a product. For the swampland, the load-bearing structure is the set of conjectured criteria, especially the distance, weak-gravity, and no-global-symmetry conjectures, that an effective field theory must satisfy to admit a quantum-gravity completion.

What would settle it

A topic census of high-energy theory preprints from the same period, measuring whether the four highlighted frontiers account for a sizable share of new results and whether the headline claims, the exact $\mathrm{AdS}_3/\mathrm{CFT}_2$ duality, the conjectured $\mathrm{AdS}_5\times S^5$ amplitude, and non-invertible symmetries in the Standard Model, have been independently reproduced, would settle whether this cross-section is representative; the review itself provides no such quantitative evidence.

Watch

Extended reading notes

Core claim

The paper's central claim is that the cross-section through Formal Theory presented here provides substantial evidence that the field is very much alive and kicking. Concretely, it asserts that recent progress is visible in four frontiers: loop- and leg-level scattering amplitudes with their string-theoretic and double-copy structures; quantum-gravity constraints on low-energy effective field theories, where statements such as string universality in 8d and 9d abelian gauge theories with 16 supercharges are now proven; holography, where the AdS3/CFT2 correspondence for one unit of NSNS flux is an exact duality and the AdS5×S5 Virasoro-Shapiro amplitude has a conjectured world-sheet-integral form with subleading single-valued polylogarithm corrections; and generalized symmetries, where defining a global symmetry as a topological operator reveals higher-form and non-invertible structures that are ubiquitous, including in the Standard Model. The review concludes that old ideas are progressing in precision and new ideas are revising basic assumptions, with the full implications still to be uncovered.

Load-bearing premise

The review rests on the author's explicitly biased choice of four topics within a ten-page limit; if these topics are not actually the most significant recent formal-theory progress, the snapshot is misleading even though each cited result may be correct.

Editorial extensions

If this is right

  • If the exact AdS3/CFT2 correspondence holds, type IIB string theory on $\mathrm{AdS}_3\times S^3\times T^4$ with one unit of NSNS flux has a complete non-perturbative definition as the symmetric orbifold CFT $\mathrm{Sym}^N(T^4)$.
  • If the conjectured AdS Virasoro-Shapiro amplitude is correct, string scattering in $\mathrm{AdS}_5\times S^5$ can be reconstructed from QFT consistency conditions, and string field theory computations will be able to test the subleading terms.
  • If the swampland precision statements hold, every consistent 8d and 9d abelian gauge theory with 16 supercharges is string-theoretic, and the known non-supersymmetric tachyon-free 10d string theories are complete.
  • If non-invertible symmetries are as prevalent as argued, Standard Model processes such as pion decays and neutrino-mass models obey selection rules that ordinary group symmetries do not capture.
  • If the categorical Landau paradigm is right, gapped phases and gapless transitions in 1+1d and 3+1d systems are classified by the symmetry topological field theory, which predicts phases outside the symmetry-breaking paradigm.

Reading between the lines

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

  • If a global symmetry is any topological operator, then discovering the full symmetry structure of a quantum field theory becomes an enumeration problem: classify all topological defects and their fusions, which could turn symmetry discovery in the Standard Model into a systematic computation rather than an act of insight.
  • If flat-space holography matures, scattering amplitudes relevant to colliders and gravitational-wave astronomy could be reinterpreted as correlators in a celestial or Carrollian field theory, potentially exposing hidden infinite-dimensional symmetries such as the $w_{1+\infty}$ algebra in practical amplitude computations.
  • The review's own selection rule, to prioritize topics with recent precision gains, suggests that formal theory's near-term contribution to phenomenology arrives through sharper computations and new selection rules, not through new model-building frameworks.
Share X Bluesky LinkedIn Reddit HN

Editorial analysis

A structured set of objections, weighed in public.

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

Referee Report

0 major / 5 minor

Summary. This paper is a conference proceedings contribution in which the author summarizes selected recent developments in 'Formal Theory' for the ICHEP 2024 audience. The scope covers scattering amplitudes, quantum gravity constraints on effective field theories (the swampland program), AdS/CFT precision holography and flat-space holography, and generalized (including non-invertible) symmetries. The author explicitly declares the selection to be biased and constrained by the 10-page format. The paper's conclusion is a qualitative statement that the field is actively progressing, supported by citing specific research results in each area.

Significance. As a proceedings article, the paper does not present new technical results but provides a compact, referenced map of current activity in formal high-energy theory. Its main value is as a snapshot that can orient non-experts and serve as an entry point into the literature. The author is transparent about the subjective selection, and the cited references cover the claimed topics. The paper is also notable for its explicit acknowledgment of the author's own involvement in parts of the generalized-symmetries literature, which mitigates concerns about self-citation bias. If the cited results are accurate, the paper achieves its modest goal of demonstrating that formal theory is an active and diverse field.

minor comments (5)
  1. [Section 4.2] The SYK model is a 0+1-dimensional quantum-mechanical model, not a 1+1d theory; the sentence 'the Sachdev-Ye-Kitaev (SYK) model of N Majorana fermions in 1+1d' should be corrected to 0+1d.
  2. [Section 4.2] The statements that the SYK model has 'central charge c ≈ N^2/2' and entropy 'S ≈ N^2/4 log T' are not standard; the SYK model has an emergent IR conformal symmetry of SL(2,R) type, not a 2d CFT central charge, and the low-temperature entropy is not given by that formula. Please rephrase or cite the specific source for these quantitative claims.
  3. [Section 3] The claim that string universality for 8d and 9d abelian gauge theories with 16 supercharges is 'proven' is attributed to [16]; since this is a strong statement, it would help to specify the assumptions (e.g., the cobordism conjecture) under which the result is established.
  4. [Section 4.1] The phrase 'AdS3/CFT2 is now understood to be an exact duality' is stronger than what a single reference can support; considering that [25] derives the correspondence for a specific background (AdS3×S3×T4 with one unit of NSNS flux), the wording should be qualified to that case.
  5. [Throughout] There are several typos, including 'Carollian' instead of 'Carrollian' (Section 4.3.2 and Figure 4 caption), 'Futhermore' for 'Furthermore' (Section 4.3.1), and 'topoglocal' for 'topological' (Section 5.3). These should be corrected.

Circularity Check

0 steps flagged · score 0.0 of 10

No significant circularity: the paper is an explicitly biased survey whose claims are citations to independent external results, not derivations from its own inputs.

full rationale

The paper is a conference proceedings review, not a research derivation. It makes no predictive claim that is fitted from data, and no quantity is defined in terms of the conclusion it supports. Every substantive technical assertion—string universality for 8d/9d 16-supercharge theories [16], the exact AdS3/CFT2 correspondence [25], the conjectured AdS Virasoro-Shapiro amplitude [26], non-invertible symmetry constructions [54,55,56], and applications to the Standard Model [57,58]—is attributed to specific, independently checkable references. The author does cite her own generalized-symmetries papers (e.g., [48,56,60,64,69,71,73,76]), and footnote 3 candidly states that generalized symmetries 'is the actual research topic of the author.' This is a disclosed selection bias, not a circular argument: the cited works are external publications with their own derivations, and the survey's conclusion ('substantial evidence that the field is very much alive and kicking') is a qualitative assessment of the breadth and activity of the field, not a consequence obtained by assuming that conclusion. The paper also explicitly notes its 'evidently biased' selection under a 10-page constraint, which is an honest limitation on representativeness rather than a circularity. No uniqueness theorem or ansatz is imported from the author's prior work to force a choice; no fitted parameter is renamed as a prediction. The only concrete technical issue noticed—calling SYK a 1+1d model rather than 0+1d—is a correctness slip and does not create circularity. The derivation chain, to the extent one exists, is: cited external results support qualitative statements. That chain is not self-referential.

Assumptions & free parameters 0 free parameters · 4 assumptions · 0 invented entities

This paper contains no derivation, so the ledger has no free parameters and no invented entities. The survey's assertions are conditional on the cited literature being correct; the axioms record the major borrowed results that the review treats as established. The generalized-symmetries section additionally cites several papers by the author and collaborators, so those entries carry a mild self-citation bias.

assumptions (4)
  • domain assumption The cited papers [3]-[76] accurately establish the results summarized in Sections 2-5.
    The review never re-derives any result; every substantive claim is delegated to references.
  • domain assumption The AdS3/CFT2 exact duality for AdS3 x S3 x T4 with one unit of NSNS flux is settled (Section 4.1, ref [25]).
    The review presents this as a precise, established correspondence based solely on the cited derivation.
  • domain assumption SYK model at large N has an emergent JT gravity dual (Section 4.2, refs [27-30]).
    Used as an example of quantum information connected to quantum gravity; not re-derived.
  • domain assumption Non-invertible symmetry fusion rules such as N·N = 1 + η in the Ising CFT (Section 5.1).
    Borrowed from the cited literature; supports the main pedagogical example of non-invertibility.

how reviews work

0 comments
Cite this review

Pith. "Pith review of Formal Theory at ICHEP 2024." pith.science (2026). https://pith.science/paper/HSIKBE6W

@misc{pith2026241221007,
  author       = {Pith},
  title        = {Pith review of: Formal Theory at ICHEP 2024},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/HSIKBE6W}},
  note         = {Machine review of arXiv:2412.21007}
}
read the original abstract

These proceedings discuss some of the highlights of recent research in Formal Theory. The topics covered range from recent progress in scattering amplitudes, quantum gravity constraints on effective field theories, AdS/CFT, flat space holography, to generalized symmetries.

Figures

Figures reproduced from arXiv: 2412.21007 by the authors.

Figure 1
Figure 1. Swampland and Landscape. This defines at low energies an EFT (T10, 𝑀6), which by construction has a consistent UV completion. An alternative, bottom up, perspective is guiding the swampland program. The key questions driving this program are: • Can a given EFT be embedded into a consis￾tent theory of quantum gravity? If not it is in the swampland, see figure 1. • Is there a universality to string theory, such that a… view at source ↗
Figure 2
Figure 2. Scattering in AdS and correlators in the boundary CFT. The classic example is that of type IIB string theory on AdS5 × 𝑆 5 and 4d N = 4 𝑆𝑈(𝑁𝑐) SYM. This sets up a precision (in coupling con￾stants on both sides) lab for quantum gravity and strongly-coupled CFTs alike. The map is controlled by a well-founded dictionary: e.g. the conformal symmetry is identified with the isometries of AdS-space. Key perturbation pa￾ra… view at source ↗
Figure 3
Figure 3. Penrose diagram for scattering in asymptotic flat space as a correlator in the celestial CFT. As with any holography, the first point is to identify the symmetries: the 4d Lorentz group is identified with the conformal group on 𝑆 2 ⊂ null infinity ℐ  R × 𝑆 2 . Most crucially, scattering amplitudes in 4d become cor￾relators in the 2d celestial CFT (CCFT): the S-matrix be￾tween ℐ− and ℐ+ becomes a correlator in the 2… view at source ↗
Figures from the paper (1 more)
Figure 4
Figure 4. Figure 4: Penrose diagram for Carollian Holography (left). Carrollian limit of AdS/CFT. topic, a few foundational papers should be mentioned: Carrollian holography has been discussed for 3d gravity [35, 38–40] and 4d in [36, 41–44]. The relation to scattering amplitudes in 4d an…

Discussion (0). Continue with ORCID to comment.

Reference graph

Works this paper leans on

76 extracted references · 7 canonical work pages

  1. [25]

    Eberhardt, M

    L. Eberhardt, M. R. Gaberdiel and R. Gopakumar,Deriving the AdS3/CFT2 correspondence, JHEP02 (2020) 136, [1911.00378]. 12 Formal Theory at ICHEP 2024

    arXiv 2020

  2. [1]

    Recent Progress in Formal Theory

    J. Polchinski,Recent Progress in Formal Theory, 0810.3707

    work page Pith review arXiv

  3. [2]

    Formal Theory: Status and Outlook

    F. Quevedo,Formal theory: status and outlook, PoSICHEP2022(2022) 027, [2212.05651]

    work page Pith review arXiv 2022

  4. [3]

    Travaglini et al.,The SAGEX review on scattering amplitudes, J

    G. Travaglini et al.,The SAGEX review on scattering amplitudes, J. Phys. A55(2022) 443001, [2203.13011]

    arXiv 2022

  5. [4]

    Buonanno, M

    A. Buonanno, M. Khalil, D. O’Connell, R. Roiban, M. P. Solon and M. Zeng,Snowmass White Paper: Gravitational Waves and Scattering Amplitudes, inSnowmass 2021, 4, 2022. 2204.05194

    arXiv 2021

  6. [5]

    Snowmass TF04 Report: Scattering Amplitudes and their Applications

    Z. Bern and J. Trnka,Snowmass TF04 Report: Scattering Amplitudes and their Applications, 2210.03146

    work page Pith review arXiv

  7. [6]

    Agarwal, F

    B. Agarwal, F. Buccioni, F. Devoto, G. Gambuti, A. von Manteuffel and L. Tancredi, Five-parton scattering in QCD at two loops,Phys. Rev. D109(2024) 094025, [2311.09870]

    arXiv 2024

  8. [7]

    Caola, A

    F. Caola, A. Chakraborty, G. Gambuti, A. von Manteuffel and L. Tancredi,Three-Loop Gluon Scattering in QCD and the Gluon Regge Trajectory, Phys. Rev. Lett.128 (2022) 212001, [2112.11097]

    arXiv 2022

Show all 76 references
  1. [8]

    Badger, H

    S. Badger, H. B. Hartanto, Z. Wu, Y. Zhang and S. Zoia,Two-loop amplitudes forO(𝛼2 𝑠) corrections to𝑊𝛾𝛾 production at the LHC, 2409.08146

    arXiv

  2. [9]

    Abreu, D

    S. Abreu, D. Chicherin, H. Ita, B. Page, V. Sotnikov, W. Tschernow et al.,All Two-Loop Feynman Integrals for Five-Point One-Mass Scattering, Phys. Rev. Lett.132 (2024) 141601, [2306.15431]

    2024 arXiv

  3. [10]

    Arkani-Hamed and J

    N. Arkani-Hamed and J. Trnka,The Amplituhedron,JHEP10 (2014) 030, [1312.2007]. 11 Formal Theory at ICHEP 2024

    2014 arXiv

  4. [11]

    T. D. Brennan, F. Carta and C. Vafa,The String Landscape, the Swampland, and the Missing Corner, PoSTASI2017(2017) 015, [1711.00864]

    2017 arXiv

  5. [12]

    Palti,The Swampland: Introduction and Review,Fortsch

    E. Palti,The Swampland: Introduction and Review,Fortsch. Phys.67(2019) 1900037, [1903.06239]

    2019 arXiv

  6. [13]

    van Beest, J

    M. van Beest, J. Calderón-Infante, D. Mirfendereski and I. Valenzuela,Lectures on the Swampland Program in String Compactifications,Phys. Rept.989 (2022) 1–50, [2102.01111]

    2022 arXiv

  7. [14]

    Harlow, B

    D. Harlow, B. Heidenreich, M. Reece and T. Rudelius,Weak gravity conjecture, Rev. Mod. Phys.95(2023) 035003, [2201.08380]

    2023 arXiv

  8. [15]

    Reece,TASI Lectures: (No) Global Symmetries to Axion Physics, PoSTASI2022(2024) 008, [2304.08512]

    M. Reece,TASI Lectures: (No) Global Symmetries to Axion Physics, PoSTASI2022(2024) 008, [2304.08512]

    2024 arXiv

  9. [16]

    Montero and C

    M. Montero and C. Vafa,Cobordism Conjecture, Anomalies, and the String Lamppost Principle,JHEP01 (2021) 063, [2008.11729]

    2021 arXiv

  10. [17]

    L. J. Dixon and J. A. Harvey,String Theories in Ten-Dimensions Without Space-Time Supersymmetry,Nucl. Phys. B274 (1986) 93–105

    1986

  11. [18]

    Sugimoto,Anomaly cancellations in type I D-9 - anti-D-9 system and the USp(32) string theory,Prog

    S. Sugimoto,Anomaly cancellations in type I D-9 - anti-D-9 system and the USp(32) string theory,Prog. Theor. Phys.102 (1999) 685–699, [hep-th/9905159]

    1999 arXiv

  12. [19]

    Sagnotti,Some properties of open string theories, inInternational Workshop on Supersymmetry and Unification of Fundamental Interactions (SUSY 95), pp

    A. Sagnotti,Some properties of open string theories, inInternational Workshop on Supersymmetry and Unification of Fundamental Interactions (SUSY 95), pp. 473–484, 9,

  13. [20]

    Boyle Smith, Y.-H

    P. Boyle Smith, Y.-H. Lin, Y. Tachikawa and Y. Zheng,Classification of chiral fermionic CFTs of central charge≤ 16,SciPost Phys.16(2024) 058, [2303.16917]

    2024 arXiv

  14. [21]

    Basile, A

    I. Basile, A. Debray, M. Delgado and M. Montero,Global anomalies & bordism of non-supersymmetric strings,JHEP 02(2024) 092, [2310.06895]

    2024 arXiv

  15. [22]

    G.Gkountoumis, C.Hull, K.StemerdinkandS.Vandoren, FreelyactingorbifoldsoftypeIIB string theory on T5, JHEP08(2023) 089, [2302.09112]

    2023 arXiv

  16. [23]

    Basaad, L

    E. Basaad, L. A. Detraux, A. R. D. Avalos, A. E. Faraggi and B. Percival,Vacuum Energy in Non-Supersymmetric Quasi-Realistic Heterotic-String Vacua with Fixed Moduli, 2408.03928

    arXiv

  17. [24]

    Z. K. Baykara, H.-C. Tarazi and C. Vafa,New Non-Supersymmetric Tachyon-Free Strings, 2406.00185

    arXiv

  18. [26]

    L. F. Alday and T. Hansen,The AdS Virasoro-Shapiro amplitude, JHEP10(2023) 023, [2306.12786]

    2023 arXiv

  19. [27]

    Asimplemodelofquantumholography

    A.Kitaev,“Asimplemodelofquantumholography.”TalksattheKITP,AprilandMay2015, 2015

    2015

  20. [28]

    Maldacena, D

    J. Maldacena, D. Stanford and Z. Yang,Conformal symmetry and its breaking in two dimensional Nearly Anti-de-Sitter space,PTEP2016 (2016) 12C104, [1606.01857]

    2016 arXiv

  21. [29]

    Jensen,Chaos in AdS2 Holography, Phys

    K. Jensen,Chaos in AdS2 Holography, Phys. Rev. Lett.117 (2016) 111601, [1605.06098]

    2016 arXiv

  22. [30]

    Engelsöy, T

    J. Engelsöy, T. G. Mertens and H. Verlinde,An investigation of AdS2 backreaction and holography, JHEP07(2016) 139, [1606.03438]

    2016 arXiv

  23. [31]

    Aad et al.,Observation of quantum entanglement with top quarks at the ATLAS detector, Nature633 (2024) 542–547, [2311.07288]

    ATLAScollaboration, G. Aad et al.,Observation of quantum entanglement with top quarks at the ATLAS detector, Nature633 (2024) 542–547, [2311.07288]

    2024 arXiv

  24. [32]

    Raclariu,Lectures on Celestial Holography, 2107.02075

    A.-M. Raclariu,Lectures on Celestial Holography, 2107.02075

    arXiv

  25. [33]

    Pasterski, M

    S. Pasterski, M. Pate and A.-M. Raclariu,Celestial Holography, inSnowmass 2021, 11,

    2021

  26. [34]

    Pasterski,Lectures on celestial amplitudes,Eur

    S. Pasterski,Lectures on celestial amplitudes,Eur. Phys. J. C81(2021) 1062, [2108.04801]

    2021 arXiv

  27. [35]

    Barnich and G

    G. Barnich and G. Compere,Classical central extension for asymptotic symmetries at null infinity in three spacetime dimensions, Class. Quant. Grav.24(2007) F15–F23, [gr-qc/0610130]

    2007 arXiv

  28. [36]

    Donnay, A

    L. Donnay, A. Fiorucci, Y. Herfray and R. Ruzziconi,Carrollian Perspective on Celestial Holography,Phys. Rev. Lett.129 (2022) 071602, [2202.04702]

    2022 arXiv

  29. [37]

    Strominger and A

    A. Strominger and A. Zhiboedov,Gravitational Memory, BMS Supertranslations and Soft Theorems, JHEP01(2016) 086, [1411.5745]

    2016 arXiv

  30. [38]

    Bagchi,Correspondence between Asymptotically Flat Spacetimes and Nonrelativistic Conformal Field Theories,Phys

    A. Bagchi,Correspondence between Asymptotically Flat Spacetimes and Nonrelativistic Conformal Field Theories,Phys. Rev. Lett.105 (2010) 171601, [1006.3354]

    2010 arXiv

  31. [39]

    Barnich,Entropy of three-dimensional asymptotically flat cosmological solutions,JHEP 10(2012) 095, [1208.4371]

    G. Barnich,Entropy of three-dimensional asymptotically flat cosmological solutions,JHEP 10(2012) 095, [1208.4371]

    2012 arXiv

  32. [40]

    Bagchi, S

    A. Bagchi, S. Detournay, R. Fareghbal and J. Simón,Holography of 3D Flat Cosmological Horizons,Phys. Rev. Lett.110 (2013) 141302, [1208.4372]

    2013 arXiv

  33. [41]

    Arcioni and C

    G. Arcioni and C. Dappiaggi,Exploring the holographic principle in asymptotically flat space-times via the BMS group,Nucl. Phys. B674 (2003) 553–592, [hep-th/0306142]

    2003 arXiv

  34. [42]

    Barnich and C

    G. Barnich and C. Troessaert,Aspects of the BMS/CFT correspondence, JHEP05(2010) 062, [1001.1541]. 13 Formal Theory at ICHEP 2024

    2010 arXiv

  35. [43]

    Duval, G

    C. Duval, G. W. Gibbons and P. A. Horvathy,Conformal Carroll groups and BMS symmetry, Class. Quant. Grav.31 (2014) 092001, [1402.5894]

    2014 arXiv

  36. [44]

    Ciambelli, C

    L. Ciambelli, C. Marteau, A. C. Petkou, P. M. Petropoulos and K. Siampos,Flat holography and Carrollian fluids, JHEP07(2018) 165, [1802.06809]

    2018 arXiv

  37. [45]

    Donnay, A

    L. Donnay, A. Fiorucci, Y. Herfray and R. Ruzziconi,Bridging Carrollian and celestial holography, Phys. Rev. D107 (2023) 126027, [2212.12553]

    2023 arXiv

  38. [46]

    Mason, R

    L. Mason, R. Ruzziconi and A. Yelleshpur Srikant,Carrollian amplitudes and celestial symmetries, JHEP05(2024) 012, [2312.10138]

    2024 arXiv

  39. [47]

    L. F. Alday, M. Nocchi, R. Ruzziconi and A. Yelleshpur Srikant,Carrollian Amplitudes from Holographic Correlators, 2406.19343

    arXiv

  40. [48]

    Schafer-Nameki,ICTP lectures on (non-)invertible generalized symmetries, Phys

    S. Schafer-Nameki,ICTP lectures on (non-)invertible generalized symmetries, Phys. Rept. 1063 (2024) 1–55, [2305.18296]

    2024 arXiv

  41. [49]

    T. D. Brennan and S. Hong,Introduction to Generalized Global Symmetries in QFT and Particle Physics, 2306.00912

    arXiv

  42. [50]

    Bhardwaj, L

    L. Bhardwaj, L. E. Bottini, L. Fraser-Taliente, L. Gladden, D. S. W. Gould, A. Platschorre et al.,Lectures on generalized symmetries,Phys. Rept.1051 (2024) 1–87, [2307.07547]

    2024 arXiv

  43. [51]

    Shao,What’s Done Cannot Be Undone: TASI Lectures on Non-Invertible Symmetries, 2308.00747

    S.-H. Shao,What’s Done Cannot Be Undone: TASI Lectures on Non-Invertible Symmetries, 2308.00747

    arXiv

  44. [52]

    Luo, Q.-R

    R. Luo, Q.-R. Wang and Y.-N. Wang,Lecture notes on generalized symmetries and applications, Phys. Rept.1065 (2024) 1–43, [2307.09215]

    2024 arXiv

  45. [53]

    Gaiotto, A

    D. Gaiotto, A. Kapustin, N. Seiberg and B. Willett,Generalized Global Symmetries,JHEP 02(2015) 172, [1412.5148]

    2015 arXiv

  46. [54]

    Kaidi, K

    J. Kaidi, K. Ohmori and Y. Zheng,Kramers-Wannier-like Duality Defects in (3+1)D Gauge Theories,Phys. Rev. Lett.128 (2022) 111601, [2111.01141]

    2022 arXiv

  47. [55]

    Y. Choi, C. Cordova, P.-S. Hsin, H. T. Lam and S.-H. Shao,Noninvertible duality defects in 3+1 dimensions,Phys. Rev. D105 (2022) 125016, [2111.01139]

    2022 arXiv

  48. [56]

    Bhardwaj, L

    L. Bhardwaj, L. E. Bottini, S. Schafer-Nameki and A. Tiwari,Non-invertible higher-categorical symmetries,SciPost Phys.14 (2023) 007, [2204.06564]

    2023 arXiv

  49. [57]

    Y. Choi, H. T. Lam and S.-H. Shao,Noninvertible Global Symmetries in the Standard Model, Phys. Rev. Lett.129 (2022) 161601, [2205.05086]

    2022 arXiv

  50. [58]

    Cordova and K

    C. Cordova and K. Ohmori,Noninvertible Chiral Symmetry and Exponential Hierarchies, Phys. Rev. X13 (2023) 011034, [2205.06243]

    2023 arXiv

  51. [59]

    Roumpedakis, S

    K. Roumpedakis, S. Seifnashri and S.-H. Shao,Higher Gauging and Non-invertible Condensation Defects, Commun. Math. Phys.401 (2023) 3043–3107, [2204.02407]. 14 Formal Theory at ICHEP 2024

    2023 arXiv

  52. [60]

    Bhardwaj, S

    L. Bhardwaj, S. Schafer-Nameki and J. Wu,Universal Non-Invertible Symmetries, Fortsch. Phys.70(2022) 2200143, [2208.05973]

    2022 arXiv

  53. [61]

    C.Cordova, S.Hong, S.KorenandK.Ohmori, NeutrinoMassesfromGeneralizedSymmetry Breaking,Phys. Rev. X14(2024) 031033, [2211.07639]

    2024 arXiv

  54. [62]

    Frohlich, J

    J. Frohlich, J. Fuchs, I. Runkel and C. Schweigert,Defect Lines, Dualities and Generalised Orbifolds, in16th International Congress on Mathematical Physics, pp. 608–613, 2010. 0909.5013. DOI

    2010 arXiv

  55. [63]

    Y.-H. Lin, M. Okada, S. Seifnashri and Y. Tachikawa,Asymptotic density of states in 2d CFTs with non-invertible symmetries,JHEP03 (2023) 094, [2208.05495]

    2023 arXiv

  56. [64]

    Bhardwaj and S

    L. Bhardwaj and S. Schafer-Nameki,Generalized Charges, Part II: Non-Invertible Symmetries and the Symmetry TFT, 2305.17159

  57. [65]

    Bartsch, M

    T. Bartsch, M. Bullimore and A. Grigoletto,Higher representations for extended operators, 2304.03789

    arXiv

  58. [66]

    Copetti, L

    C. Copetti, L. Cordova and S. Komatsu,Non-Invertible Symmetries, Anomalies and Scattering Amplitudes, 2403.04835

    arXiv

  59. [67]

    van Beest, P

    M. van Beest, P. Boyle Smith, D. Delmastro, Z. Komargodski and D. Tong,Monopoles, Scattering, and Generalized Symmetries, 2306.07318

    arXiv

  60. [68]

    van Beest, P

    M. van Beest, P. Boyle Smith, D. Delmastro, R. Mouland and D. Tong,Fermion-monopole scattering in the Standard Model, JHEP08(2024) 004, [2312.17746]

    2024 arXiv

  61. [69]

    Bhardwaj, L

    L. Bhardwaj, L. E. Bottini, D. Pajer and S. Schafer-Nameki,Categorical Landau Paradigm for Gapped Phases, 2310.03786

    arXiv

  62. [70]

    Gaiotto and J

    D. Gaiotto and J. Kulp,Orbifold groupoids, JHEP02(2021) 132, [2008.05960]

    2021 arXiv

  63. [71]

    Apruzzi, F

    F. Apruzzi, F. Bonetti, I. n. G. Etxebarria, S. S. Hosseini and S. Schafer-Nameki,Symmetry TFTs from String Theory, 2112.02092

    arXiv

  64. [72]

    D. S. Freed, G. W. Moore and C. Teleman,Topological symmetry in quantum field theory, 2209.07471

    arXiv

  65. [73]

    Bhardwaj, L

    L. Bhardwaj, L. E. Bottini, S. Schafer-Nameki and A. Tiwari,Illustrating the Categorical Landau Paradigm in Lattice Models, 2405.05302

    arXiv

  66. [74]

    Chatterjee, O

    A. Chatterjee, O. M. Aksoy and X.-G. Wen,Quantum Phases and Transitions in Spin Chains with Non-Invertible Symmetries, 2405.05331

    arXiv

  67. [75]

    T. T. Dumitrescu and P.-S. Hsin,Higgs-Confinement Transitions in QCD from Symmetry Protected Topological Phases,SciPost Phys.17(2024) 093, [2312.16898]

    2024 arXiv

  68. [76]

    Antinucci, C

    A. Antinucci, C. Copetti and S. Schafer-Nameki,SymTFT for (3+1)d Gapless SPTs and Obstructions to Confinement, 2408.05585. 15

    arXiv

Pith tools

Reviewed August 10, 2026 · model on record in the stance chip above.