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arxiv: 2606.12537 · v1 · pith:AZEKOWWMnew · submitted 2026-06-10 · ✦ hep-th · math-ph· math.MP

Wigner continuous-spin equations in AdS_D: bosonic and fermionic cases

Lev N. Astrakhantsev , Anastasia A. Golubtsova , Mikhail A. Podoinitsyn This is my paper

Pith reviewed 2026-06-27 08:52 UTC · model grok-4.3

classification ✦ hep-th math-phmath.MP
keywords continuous-spin fieldsanti-de Sitter spaceWigner equationsfirst-class constraintsCasimir operatorsbosonic fieldsfermionic fieldsisometry algebra
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The pith

Deformed Wigner constraints define continuous-spin fields in anti-de Sitter space of any dimension.

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

The authors build Wigner-like equations for symmetric continuous-spin fields in AdS space for both bosons and fermions. They begin with flat-space constraints, replace ordinary derivatives by covariant ones, and then deform the resulting expressions until the constraints close into an algebra. The closed system consists of first-class constraints that generate a representation of the AdS isometry algebra through the Lie-Lorentz derivative. Eigenvalues of the quadratic and quartic Casimir operators computed from these constraints agree with Metsaev's earlier classification of continuous-spin representations. Special operators coming from the Howe-dual (super)algebra to the Lorentz algebra organise the constraints and guarantee algebraic consistency.

Core claim

We construct Wigner-like equations of motion for symmetric continuous-spin fields in anti-de Sitter space of arbitrary dimension, treating both the bosonic and fermionic cases. This is achieved by covariantising the ordinary derivatives and deforming the resulting constraints so that they form a closed algebra. The construction yields a system of first-class constraints that define a representation of the so(2,D-1) isometry algebra, realised via the Lie-Lorentz derivative. Using these constraints, we compute the eigenvalues of the quadratic and quartic Casimir operators and compare the obtained values with Metsaev's classification of continuous-spin representations for both the bosonic and f

What carries the argument

The system of first-class constraints obtained by deforming the covariantised Wigner constraints, organised by the sl(2) Casimir operator (bosonic) or the ghost of the osp(1|2) Casimir (fermionic).

If this is right

  • The constraints generate a representation of the full so(2,D-1) isometry algebra via the Lie-Lorentz derivative.
  • The quadratic and quartic Casimir eigenvalues match those required by Metsaev's classification for both bosonic and fermionic continuous-spin representations.
  • The same deformation procedure works uniformly in every dimension D.
  • The metric-like formalism supplies explicit first-class constraints that can be used as equations of motion.

Where Pith is reading between the lines

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

  • The algebraic closure obtained after deformation supplies a template that could be applied to other curved backgrounds or to mixed-symmetry continuous-spin fields.
  • Because the constraints are first-class, they are in principle suitable for a BRST or path-integral quantisation in AdS.
  • The organising role of the Howe-dual operators indicates that similar dual-algebra structures may simplify constraint construction for other higher-spin representations in AdS.

Load-bearing premise

Deforming the constraints obtained after covariantising ordinary derivatives produces a closed algebra that is consistent and realises the desired continuous-spin representation.

What would settle it

An explicit computation showing that the deformed constraints do not close under commutation or that the resulting Casimir eigenvalues deviate from Metsaev's classification for some dimension D or continuous-spin parameter.

read the original abstract

We construct Wigner-like equations of motion for symmetric continuous-spin fields in anti-de Sitter space of arbitrary dimension, treating both the bosonic and fermionic cases. We generalise the classical flat-space Wigner constraints for bosonic continuous-spin fields, and for the fermionic case we adopt the equations proposed by Bekaert and Mourad as our starting point. This is achieved by covariantising the ordinary derivatives and deforming the resulting constraints so that they form a closed algebra. The construction is carried out in a metric-like formalism and yields a system of first-class constraints that define a representation of the $\mathfrak{so}(2,D-1)$ isometry algebra, realised via the Lie-Lorentz derivative. Using these constraints, we compute the eigenvalues of the quadratic and quartic Casimir operators and compare the obtained values with Metsaev's classification of continuous-spin representations for both the bosonic and fermionic cases. A crucial algebraic role is played by special operators of the (super)algebra Howe-dual to the Lorentz subalgebra $\mathfrak{so}(1,D-1)$: the $\mathfrak{sl}(2)$ Casimir operator in the bosonic case, and the Casimir's ghost of the $\mathfrak{osp}(1|2)$ superalgebra in the fermionic case. Both objects naturally organise the constraint algebra and ensure its consistency.

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 paper constructs Wigner-like equations of motion for symmetric continuous-spin fields in AdS_D, for both bosonic and fermionic cases. It generalizes flat-space Wigner constraints (or adopts Bekaert-Mourad equations for fermions) by covariantising ordinary derivatives and deforming the resulting constraints with Howe-dual operators—the sl(2) Casimir in the bosonic case and the osp(1|2) ghost Casimir in the fermionic case—so that they form a closed algebra of first-class constraints. These constraints are shown to define a representation of the so(2,D-1) isometry algebra via the Lie-Lorentz derivative, and the eigenvalues of the quadratic and quartic Casimir operators are computed and compared to Metsaev's classification.

Significance. If the result holds, the work supplies an explicit metric-like realization of continuous-spin representations in AdS space of arbitrary dimension, extending flat-space Wigner constructions and providing a non-trivial consistency check via Casimir matching. The systematic use of Howe-dual operators to organize the constraint algebra is a technical strength that could facilitate further developments in higher-spin theories.

major comments (1)
  1. [§3 (bosonic construction) and §4 (fermionic construction)] The central claim that the deformed constraints form a closed first-class algebra realizing so(2,D-1) for generic values of the continuous-spin parameter rests on the deformation step. The manuscript introduces the deformation precisely to enforce closure but does not supply the full set of explicit commutator calculations (e.g., all [C_i, C_j] on the constraint surface) demonstrating that no additional parameter-dependent conditions arise that would discretize the spectrum or violate unitarity.
minor comments (2)
  1. [Introduction] The range of the continuous-spin parameter for which the construction is valid should be stated explicitly in the introduction and abstract.
  2. [§3 and §4] Notation for the deformed constraints and the Howe-dual operators could be unified across the bosonic and fermionic sections to improve readability.

Simulated Author's Rebuttal

1 responses · 0 unresolved

We thank the referee for the positive assessment of the work and for the detailed comments. We address the major comment point by point below.

read point-by-point responses

  1. Referee: [§3 (bosonic construction) and §4 (fermionic construction)] The central claim that the deformed constraints form a closed first-class algebra realizing so(2,D-1) for generic values of the continuous-spin parameter rests on the deformation step. The manuscript introduces the deformation precisely to enforce closure but does not supply the full set of explicit commutator calculations (e.g., all [C_i, C_j] on the constraint surface) demonstrating that no additional parameter-dependent conditions arise that would discretize the spectrum or violate unitarity.

    Authors: We thank the referee for this observation. The construction proceeds by covariantising the flat-space constraints and then deforming them with the Howe-dual operators (the sl(2) Casimir in the bosonic case and the osp(1|2) ghost Casimir in the fermionic case) precisely so that the resulting set closes as a first-class algebra. The representation property under so(2,D-1) is then verified by direct computation of the Lie-Lorentz derivative action on the constraints together with the explicit evaluation of the quadratic and quartic Casimir eigenvalues, which are shown to reproduce Metsaev's classification for generic continuous-spin parameters. Nevertheless, we agree that the manuscript does not display every individual commutator [C_i,C_j] evaluated on the constraint surface. In the revised version we will add an appendix containing these explicit calculations, confirming that no further parameter-dependent restrictions appear that would discretise the spectrum or affect unitarity. revision: yes

Circularity Check

0 steps flagged

No circularity: construction via deformation for closure, verified by independent Casimir match to external classification

full rationale

The derivation starts from known flat-space Wigner constraints (bosonic) or Bekaert-Mourad equations (fermionic), covariantizes derivatives, and deforms using Howe-dual operators (sl(2) Casimir or osp(1|2) ghost) explicitly to close the algebra into first-class constraints. It then realizes the isometry algebra via Lie-Lorentz derivative and computes quadratic/quartic Casimir eigenvalues for direct comparison to Metsaev's prior classification. No step reduces by construction to the target result; the deformation enforces algebraic consistency as an independent requirement, and the Casimir match is a verification against external work rather than a self-referential fit or self-citation chain. The paper is self-contained against external benchmarks.

Axiom & Free-Parameter Ledger

0 free parameters · 2 axioms · 0 invented entities

From the abstract only, the construction rests on standard representation-theory assumptions rather than new free parameters or invented entities.

axioms (2)
  • domain assumption The Lie-Lorentz derivative realises the so(2,D-1) isometry algebra on the fields
    Abstract states the constraints are realised via the Lie-Lorentz derivative.
  • domain assumption Operators of the Howe-dual (super)algebra to so(1,D-1) organise and ensure consistency of the constraint algebra
    Abstract identifies these operators as playing a crucial algebraic role.

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Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. De Sitter Representations

    hep-th 2026-06 unverdicted

    Review of so(1,D) representations for de Sitter space across all D, covering mixed symmetry and fermions, connected to propagating fields.

Reference graph

Works this paper leans on

100 extracted references · 2 canonical work pages · cited by 1 Pith paper

  1. [1]

    Bekaert, N

    X. Bekaert, N. Boulanger,The unitary representations of the Poincar´ e group in any spacetime dimension, SciPost Physics Lecture Notes, 030,arXiv:hep-th/0611263

    arXiv

  2. [2]

    Wigner,On Unitary Representations of the Inhomogeneous Lorentz Group, An- nals Math

    E.P. Wigner,On Unitary Representations of the Inhomogeneous Lorentz Group, An- nals Math. 40, 149–204 (1939)

    1939

  3. [3]

    Bargmann and E.P

    V. Bargmann and E.P. Wigner,Group Theoretical Discussion of Relativistic Wave Equa- tions, Proc. Nat. Acad. Sci. 34 (1948) 211

    1948

  4. [4]

    Yngvason,Zero-mass infinite spin representations of the Poincar´ e group and quantum field theory, Communications in Mathematical Physics 18.3 (1970), 195-203

    J. Yngvason,Zero-mass infinite spin representations of the Poincar´ e group and quantum field theory, Communications in Mathematical Physics 18.3 (1970), 195-203

    1970

  5. [5]

    Chakrabarti,Remarks on lightlike continuous spin and spacelike representations of the Poincar´ e group., Journal of Mathematical Physics, 12.9 (1971), 1813-1822

    A. Chakrabarti,Remarks on lightlike continuous spin and spacelike representations of the Poincar´ e group., Journal of Mathematical Physics, 12.9 (1971), 1813-1822

    1971

  6. [6]

    Iverson and G

    G.J. Iverson and G. Mack,Quantum fields and interactions of massless particles - the continuous spin case, Annals Phys. 64, 211–253 (1971)

    1971

  7. [7]

    Brunetti, D

    R. Brunetti, D. Guido and R. Longo,Modular localization and Wigner particles, Rev. Math. Phys. bf 14, 759,math-ph/0203021

    Pith/arXiv arXiv

  8. [8]

    Vasiliev,Higher spin gauge theories: Star product and AdS space, The many faces of the superworld (1999), 533-610,hep-th/9910096

    M.A. Vasiliev,Higher spin gauge theories: Star product and AdS space, The many faces of the superworld (1999), 533-610,hep-th/9910096

    Pith/arXiv arXiv 1999

  9. [9]

    Vasiliev,Nonlinear equations for symmetric massless higher spin fields in (A) dS(d), Physics Letters B, 567.1-2 (2003), 139-151,hep-th/0304049

    M.A. Vasiliev,Nonlinear equations for symmetric massless higher spin fields in (A) dS(d), Physics Letters B, 567.1-2 (2003), 139-151,hep-th/0304049

    Pith/arXiv arXiv 2003

  10. [10]

    Vasiliev,Higher spin theory and space-time metamorphoses,Lect

    M.A. Vasiliev,Higher spin theory and space-time metamorphoses,Lect. Notes Phys., 892, 227,arXiv:1404.1948

    Pith/arXiv arXiv 1948

  11. [11]

    A. K. H. Bengtsson,Higher Spin Field Theory. Volume 1: Free Theory, — Berlin, Boston: De Gruyter, 2020. — ISBN 978-3-11-067544-3. — DOI: 10.1515/9783110675443

    work page doi:10.1515/9783110675443 2020

  12. [12]

    A. K. H. Bengtsson,Higher Spin Field Theory. Volume 2: Interactions, — Berlin, Boston: De Gruyter, 2020. — ISBN 978-3-11-067552-8. — DOI: 10.1515/9783110675528

    work page doi:10.1515/9783110675528 2020

  13. [13]

    G. K. Savvidy,Tensionless strings: Physical Fock space and higher spin fields, Int. J. Mod. Phys. A 19 (2004) 3171,arXiv:hep-th/0310085

    Pith/arXiv arXiv 2004

  14. [14]

    Brink, A.M

    L. Brink, A.M. Khan, P. Ramond, X.Xiong,Continuous spin representations of the Poincar´ e and super-Poincar´ e groups, Journal of Mathematical Physics, 43(12), 6279- 6295,hep-th/0205145

    Pith/arXiv arXiv

  15. [15]

    Bekaert, E.D

    X. Bekaert, E.D. Skvortsov,Elementary particles with continuous spin, Int. J. Mod. Phys. A, 32(23n24), 1730019,arXiv:1708.01030. 26

    Pith/arXiv arXiv

  16. [16]

    Bekaert, J

    X. Bekaert, J. Mourad,The continuous spin limit of higher spin field equations, Journal of High Energy Physics, 2006(01), 115,arXiv:hep-th/0509092

    Pith/arXiv arXiv 2006

  17. [17]

    A. M. Khan, P. Ramond,Continuous-spin representations from group contraction, J. Math. Phys. 46 (2005) 053515, Erratum: J. Math. Phys. 46 (2005) 079901, arXiv:hep-th/0410107

    Pith/arXiv arXiv 2005

  18. [18]

    Fronsdal,Massless fields with integer spin, Phys

    C. Fronsdal,Massless fields with integer spin, Phys. Rev. D 18 (1978), 3624

    1978

  19. [19]

    J. Fang, C. Fronsdal,Massless fields with half-integral spin, Physical Review D, 18.10 (1978), 3630

    1978

  20. [20]

    Schuster, N

    P. Schuster, N. Toro,On the theory of continuous-spin particles: wavefunctions and soft-factor scattering amplitudes, JHEP, 2013.9, 1-35,arXiv:1302.1198

    Pith/arXiv arXiv 2013

  21. [21]

    Schuster, N

    P. Schuster, N. Toro,On the theory of continuous-spin particles: helicity correspondence in radiation and forces, JHEP, 2013(9), 1-40,arXiv:1302.1577

    Pith/arXiv arXiv 2013

  22. [22]

    Schuster, N

    P. Schuster, N. Toro,A gauge field theory of continuous-spin particles, JHEP, 2013(10), 1-34,arXiv:1302.3225

    Pith/arXiv arXiv 2013

  23. [23]

    Schuster, N

    P. Schuster, N. Toro,Continuous-spin particle field theory with helicity correspondence, Physical Review D, 91(2), 025023,arXiv:1404.0675

    Pith/arXiv arXiv

  24. [24]

    Bekaert, M

    X. Bekaert, M. Najafizadeh, M.R. Setare,A gauge field theory of fermionic Continuous- Spin Particles, Physics Letters B, 760, 320-323,arXiv:1506.00973

    Pith/arXiv arXiv

  25. [25]

    Bekaert, J

    X. Bekaert, J. Mourad, M. Najafizadeh,Continuous-spin field propagator and interac- tion with matter, JHEP, 2017(11), 1-32,arXiv:1710.05788

    arXiv 2017

  26. [26]

    Rivelles,Gauge theory formulations for continuous and higher spin fields, Physical Review D, 91(12), 125035,arXiv:1408.3576

    V.O. Rivelles,Gauge theory formulations for continuous and higher spin fields, Physical Review D, 91(12), 125035,arXiv:1408.3576

    Pith/arXiv arXiv

  27. [27]

    V. O. Rivelles,Remarks on a gauge theory for continuous spin particles, The European Physical Journal C, 77(7), 433,arXiv:1607.01316

    Pith/arXiv arXiv

  28. [28]

    Bengtsson,BRST theory for continuous spin, JHEP, 2013(10), 1-20, arXiv:1303.3799

    A.K. Bengtsson,BRST theory for continuous spin, JHEP, 2013(10), 1-20, arXiv:1303.3799

    Pith/arXiv arXiv 2013

  29. [29]

    Buchbinder, V.A

    I.L. Buchbinder, V.A. Krykhtin, H. Takata,BRST approach to Lagrangian construction for bosonic continuous spin field, Physics Letters B, 785, 315-319,arXiv:1806.01640

    Pith/arXiv arXiv

  30. [30]

    Buchbinder, S.A

    I.L. Buchbinder, S.A. Fedoruk, A.P. Isaev, A. Rusnak,Model of massless relativistic particle with continuous spin and its twistorial description, Journal of High Energy Physics, 2018(7), 1-21,arXiv:1805.09706

    Pith/arXiv arXiv 2018

  31. [31]

    Buchbinder, S.A

    I.L. Buchbinder, S.A. Fedoruk, A.P. Isaev, V.A. KrykhtinTowards Lagrangian construction for infinite half-integer spin field, Nuclear Physics B, 958, 115114, arXiv:2005.07085. 27

    arXiv 2005

  32. [32]

    Buchbinder, S.A

    I.L. Buchbinder, S.A. Fedoruk, A.P. Isaev, M.A. Podoinitsyn,Massless finite and infinite spin representations of Poincar´ e group in six dimensions, Physics Letters B, 813, 136064, arXiv:2011.14725

    arXiv 2011

  33. [33]

    Buchbinder, S.A

    I.L. Buchbinder, S.A. Fedoruk, A.P. Isaev,Twistor formulation of massless 6D infinite spin fields, Nuclear Physics B, 973, 115576,arXiv:2108.04716

    arXiv

  34. [34]

    Buchbinder, S.A

    I.L. Buchbinder, S.A. Fedoruk, A.P. Isaev,Light-front description of infinite spin fields in six-dimensional Minkowski space, The European Physical Journal C, 82(8), 733, arXiv:2207.02640

    arXiv

  35. [35]

    Buchbinder, S.A

    I.L. Buchbinder, S.A. Fedoruk, A.P. Isaev, V.A. Krykhtin,Lagrangian formulation for free 6D infinite spin field, Nuclear Physics B, 996, 116365,arXiv:2308.05622

    arXiv

  36. [36]

    Burdik, V.K

    C. Burdik, V.K. Pandey, A. Reshetnyak,BRST-BFV and BRST-BV Descriptions for Bosonic Fields with Continuous Spin onR 1,d−1 , Int. J. Mod. Phys. A, 35(26), 2050154, arXiv:1906.02585

    arXiv 1906

  37. [37]

    Alkalaev, M

    K. Alkalaev, M. Grigoriev,Continuous spin fields of mixed-symmetry type, Journal of High Energy Physics, 2018(3), 1-25,arXiv:1712.02317

    Pith/arXiv arXiv 2018

  38. [38]

    Alkalaev, A

    K. Alkalaev, A. Chekmenev, M. Grigoriev,Unified formulation for helicity and contin- uous spin fermionic fields, JHEP, 2018(11), 1-25,arXiv:1808.09385

    Pith/arXiv arXiv 2018

  39. [39]

    Metsaev,Cubic interaction vertices for continuous-spin fields and arbitrary spin massive fieldsJournal of High Energy Physics, 2017(11), 1-60,arXiv:1709.08596

    R.R. Metsaev,Cubic interaction vertices for continuous-spin fields and arbitrary spin massive fieldsJournal of High Energy Physics, 2017(11), 1-60,arXiv:1709.08596

    Pith/arXiv arXiv 2017

  40. [40]

    Metsaev,Cubic interaction vertices for massive/massless continuous-spin fields and arbitrary spin fields, JHEP, 2018(12), 1-75,arXiv:1809.09075

    R.R. Metsaev,Cubic interaction vertices for massive/massless continuous-spin fields and arbitrary spin fields, JHEP, 2018(12), 1-75,arXiv:1809.09075

    Pith/arXiv arXiv 2018

  41. [41]

    Metsaev,Interacting massive/massless continuous-spin fields and integer-spin fields, JHEP, 2025(9), 1-57,arXiv:2505.02817

    R.R. Metsaev,Interacting massive/massless continuous-spin fields and integer-spin fields, JHEP, 2025(9), 1-57,arXiv:2505.02817

    arXiv 2025

  42. [42]

    Metsaev,Lorentz covariant on-shell cubic vertices for continuous-spin fields and integer-spin fields, JHEP, 2026(3), 61,arXiv:2510.05011

    R.R. Metsaev,Lorentz covariant on-shell cubic vertices for continuous-spin fields and integer-spin fields, JHEP, 2026(3), 61,arXiv:2510.05011

    arXiv 2026

  43. [43]

    Rivelles,A gauge field theory for continuous spin tachyons, arXiv preprint arXiv:1807.01812

    V.O. Rivelles,A gauge field theory for continuous spin tachyons, arXiv preprint arXiv:1807.01812

    arXiv

  44. [44]

    V. O. Rivelles,Virtual exchange of continuous spin fields,arXiv:2303.06490

    arXiv

  45. [45]

    continuous spin

    P. Schuster, N. Toro, K. Zhou,Interactions of particles with “continuous spin” fields, Journal of High Energy Physics, 2023(4), 1-77,arXiv:2303.04816

    arXiv 2023

  46. [46]

    Schuster, N

    P. Schuster, N. Toro,Quantum electrodynamics mediated by a photon with continuous spin, Phys. Rev. D 109 (2024) no.9, 096008,arXiv:2308.16218

    arXiv 2024

  47. [47]

    Schuster, G

    P. Schuster, G. Sundaresan, N. Toro,Thermodynamics of continuous spin photons, Phys. Rev. D 111 (2025) no.5, 056019,arXiv:2406.14616. 28

    arXiv 2025

  48. [48]

    Reilly, P

    A. Reilly, P. Schuster, N. Toro,Probing continuous spin QED with rare atomic transi- tions, Phys. Rev. D 113 (2026) no.1, 015028,arXiv:2505.01500

    arXiv 2026

  49. [49]

    Kundu, A

    S. Kundu, A. Russo, P. Schuster, N. Toro,Interactions of a Continuous-Spin field with a spin-1/2 particle, JHEP 11 (2025), 125,arXiv:2505.14770

    arXiv 2025

  50. [50]

    Kundu, P

    S. Kundu, P. Schuster, N. Toro,First look at continuous spin gravity: Time delay signatures, Phys. Rev. D 113 (2026) no.7, 076017,arXiv:2503.03817

    Pith/arXiv arXiv 2026

  51. [51]

    Buchbinder, S.A

    I.L. Buchbinder, S.A. Fedoruk, A.P. Isaev,Twistorial and space-time descriptions of massless infinite spin (super) particles and fields, Nuclear Physics B, 945, 114660, arXiv:1903.07947

    Pith/arXiv arXiv 1903

  52. [52]

    Najafizadeh,Supersymmetric continuous spin gauge theory, Journal of High Energy Physics, 2020(3), 1-36,arXiv:1912.12310

    M. Najafizadeh,Supersymmetric continuous spin gauge theory, Journal of High Energy Physics, 2020(3), 1-36,arXiv:1912.12310

    arXiv 2020

  53. [53]

    Najafizadeh,Off-shell supersymmetric continuous spin gauge theory, JHEP, 2022(2), 1-32,arXiv:2112.10178

    M. Najafizadeh,Off-shell supersymmetric continuous spin gauge theory, JHEP, 2022(2), 1-32,arXiv:2112.10178

    arXiv 2022

  54. [54]

    Buchbinder, M.V

    I.L. Buchbinder, M.V. Khabarov, T.V. Snegirev, Y.M. Zinoviev,Lagrangian formula- tion for the infinite spin N=1 supermultiplets in d=4, Nuclear Physics B, 946, 114717, arXiv:1904.05580

    arXiv 1904

  55. [55]

    Buchbinder, S.A

    I.L. Buchbinder, S.A. Fedoruk,Continuous spin superparticle model, Physics Letters B, 2025, 139810,arXiv:2506.19709

    arXiv 2025

  56. [56]

    Khabarov, Y.M

    M.V. Khabarov, Y.M. Zinoviev,Massive higher spin supermultiplets unfolded, Nuclear Physics B, 953, 114959,arXiv:2001.07903

    arXiv 2001

  57. [57]

    Basile, E

    T. Basile, E. Joung, T. Oh,Manifestly covariant worldline actions from coad- joint orbits. Part I. Generalities and vectorial descriptions, JHEP, 2024(1), 1-91, arXiv:2307.13644; E. Joung, T. Oh,Manifestly covariant worldline actions from coad- joint orbits. Part II: Twistorial descriptions,arXiv:2408.14783

    arXiv 2024

  58. [58]

    Basile, E

    T. Basile, E. Joung, K. Mkrtchyan, M. Mojaza,Spinor-helicity representations of par- ticles of any mass indS 4 andAdS 4 spacetimes, Physical Review D, 109(12), 125003, arXiv:2401.02007

    arXiv

  59. [59]

    Basile, X

    T. Basile, X. Bekaert, N. Boulanger,Mixed-symmetry fields in de Sitter space: a group theoretical glance, JHEP 05 (2017) 081,arXiv:1612.08166

    arXiv 2017

  60. [60]

    R. R. Metsaev,Massless mixed symmetry bosonic free fields in d-dimensional anti-de Sitter space-time, Phys. Lett. B 354 (1995) 78

    1995

  61. [61]

    Ponomarev,Basic introduction to higher-spin theories, International Journal of The- oretical Physics, 62(7), 146,arXiv:2206.15385

    D. Ponomarev,Basic introduction to higher-spin theories, International Journal of The- oretical Physics, 62(7), 146,arXiv:2206.15385

    arXiv

  62. [62]

    Metsaev,Continuous spin gauge field in (A)dS space, Phys

    R.R. Metsaev,Continuous spin gauge field in (A)dS space, Phys. Lett. B, 767, 135, arXiv:1610.00657. 29

    Pith/arXiv arXiv

  63. [63]

    Y. M. Zinoviev,On massive high spin particles in (A)dS,arXiv:hep-th/0108192

    Pith/arXiv arXiv

  64. [64]

    Metsaev,Fermionic continuous spin gauge field in (A)dS space, Phys

    R.R. Metsaev,Fermionic continuous spin gauge field in (A)dS space, Phys. Lett. B, 773, 135,arXiv:1703.05780

    Pith/arXiv arXiv

  65. [65]

    R. R. Metsaev,Continuous-spin mixed-symmetry fields in AdS(5), J. Phys. A 51 (2018) 21, 215401,arXiv:1711.11007

    Pith/arXiv arXiv 2018

  66. [66]

    Metsaev,Light-cone continuous-spin field in AdS space, Phys

    R.R. Metsaev,Light-cone continuous-spin field in AdS space, Phys. Lett. B, 793, 134, arXiv:1903.10495

    Pith/arXiv arXiv 1903

  67. [67]

    Metsaev,Mixed-symmetry continuous-spin fields in flat and AdS spaces, Phys

    R.R. Metsaev,Mixed-symmetry continuous-spin fields in flat and AdS spaces, Phys. Lett. B, 820, 136497,arXiv:2105.11281

    arXiv

  68. [68]

    Metsaev,Light-cone vector superspace and continuous-spin field in AdS, Physics Letters B, 2025, 139778,arXiv:2507.05194

    R.R. Metsaev,Light-cone vector superspace and continuous-spin field in AdS, Physics Letters B, 2025, 139778,arXiv:2507.05194

    Pith/arXiv arXiv 2025

  69. [69]

    Khabarov, Yu.M

    M.V. Khabarov, Yu.M. Zinoviev,Infinite (continuous) spin fields in the frame-like for- malism, Nucl. Phys. B, 928, 182,arXiv:1711.08223

    Pith/arXiv arXiv

  70. [70]

    Zinoviev,Infinite spin fields in d=3 and beyond, Universe, 3(3), 63, arXiv:1707.08832

    Yu.M. Zinoviev,Infinite spin fields in d=3 and beyond, Universe, 3(3), 63, arXiv:1707.08832

    Pith/arXiv arXiv

  71. [71]

    R. R. Metsaev,BRST-BV approach to continuous-spin field, Phys. Lett. B 781 (2018) 568,arXiv:1803.08421

    Pith/arXiv arXiv 2018

  72. [72]

    Najafizadeh,Modified Wigner equations and continuous spin gauge field, Phys

    M. Najafizadeh,Modified Wigner equations and continuous spin gauge field, Phys. Rev. D 97 (2018) no.6, 065009,arXiv:1708.00827

    Pith/arXiv arXiv 2018

  73. [73]

    Takata,Unconstrained Lagrangian formulation for bosonic continuous spin the- ory in flat spacetime of arbitrary dimension, Nuclear Physics B, 1005, 116599, arXiv:2404.14118

    H. Takata,Unconstrained Lagrangian formulation for bosonic continuous spin the- ory in flat spacetime of arbitrary dimension, Nuclear Physics B, 1005, 116599, arXiv:2404.14118

    arXiv

  74. [74]

    Buchbinder, S.A

    I.L. Buchbinder, S.A. Fedoruk, A.P. Isaev, V.A. Krykhtin,Infinite (continuous) spin particle in constant curvature space, Physics Letters B, 853, 138689,arXiv:2402.13879

    arXiv

  75. [75]

    Buchbinder, S.A

    I.L. Buchbinder, S.A. Fedoruk, A.P. Isaev, V.A. Krykhtin,BRST construction for infinite spin field onAdS 4 , The European Physical Journal Plus, 139(7), 1-11, arXiv:2403.14446

    arXiv

  76. [76]

    Buchbinder, S.A

    I.L. Buchbinder, S.A. Fedoruk, A.P. Isaev, M.A. Podoinitsyn,On the realization of infinite (continuous) spin field representations inAdS 4 space, Physics Letters B, 861, 139226,arXiv:2410.07873

    arXiv

  77. [77]

    Golubtsova and M.A

    A.A. Golubtsova and M.A. Podoinitsyn,Continuous spin field in theAdS 6 space, Nuclear Physics B, 2026, 117462,arXiv:2508.06140

    arXiv 2026

  78. [78]

    Buchbinder, S.A

    I.L. Buchbinder, S.A. Fedoruk,Continuous spin superparticle in4D,N= 1curved superspace, Nucl.Phys.B, 1019 (2025), 117135,arXiv:2507.18524. 30

    arXiv 2025

  79. [79]

    Kravchuk and D

    P. Kravchuk and D. Simmons-Duffin,Light-ray operators in conformal field theory, JHEP, 11 (2018), 102,arXiv:1805.00098

    arXiv 2018

  80. [80]

    Caron-Huot,Analyticity in spin in conformal theories, Journal of High Energy Physics, 2017.9 (2017), 1-44,arXiv:1703.00278

    S. Caron-Huot,Analyticity in spin in conformal theories, Journal of High Energy Physics, 2017.9 (2017), 1-44,arXiv:1703.00278

    Pith/arXiv arXiv 2017

Showing first 80 references.