pith. sign in

arxiv: 2605.27754 · v1 · pith:ZAET2LNQnew · submitted 2026-05-26 · ✦ hep-th

Twistor approach to classical and quantum D0-brane

Igor Bandos , Mirian Tsulaia This is my paper

Pith reviewed 2026-06-29 15:16 UTC · model grok-4.3

classification ✦ hep-th
keywords D0-branesupertwistorsOSp(32|1)type IIA supergravitysuperparticlequantizationspinor moving framemassive superparticle
0
0 comments X

The pith

Constrained OSp(32|1) supertwistors furnish an equivalent classical description of the D0-brane whose quantization yields the massive type IIA supergravity spectrum.

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

The paper introduces a supertwistor formulation for the D0-brane, the massive type IIA superparticle in ten dimensions, built from a hexadecuplet of constrained OSp(32|1) supertwistors. It establishes the relation of this formulation to the existing spinor moving frame approach and carries out quantization through two independent routes. The resulting quantum states reproduce the spectrum expected for the massive counterpart of linearized type IIA supergravity. A sympathetic reader would care because the construction supplies an alternative set of variables that encode the same dynamics without introducing further constraints or anomalies during quantization.

Core claim

The constrained OSp(32|1) supertwistor variables provide a complete classical description of the massive type IIA superparticle that is equivalent to the spinor moving frame formulation; upon quantization by either of two methods the physical state spectrum coincides with that of the massive counterpart of linearized type IIA supergravity.

What carries the argument

A hexadecuplet of constrained OSp(32|1) supertwistors that encode the D0-brane dynamics and reduce to the spinor moving frame variables.

If this is right

  • The supertwistor model is classically equivalent to the spinor moving frame formulation of the D0-brane.
  • Quantization performed by two distinct methods produces the same physical spectrum.
  • The quantized spectrum describes the massive counterpart of linearized type IIA supergravity.
  • No additional constraints or anomalies arise in the quantization procedure.

Where Pith is reading between the lines

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

  • The same constrained supertwistor variables may admit a direct lift to an eleven-dimensional M0-brane description.
  • The twistor variables could simplify the construction of interaction vertices in the massive supergravity theory.
  • Comparison of the two quantization routes may reveal a canonical transformation that maps one Hilbert space realization onto the other.

Load-bearing premise

The constrained OSp(32|1) supertwistor variables furnish a complete and equivalent classical description of the massive type IIA superparticle.

What would settle it

Explicit computation of the quantum spectrum from the supertwistor model that fails to match the known spectrum of linearized massive type IIA supergravity.

read the original abstract

We develop the (super)twistor approach to D$0$-brane, which is the massive type IIA superparticle in ten dimensional spacetime. The basic variables are haxadecuplet of constrained $OSp(32|1)$ supertwistors similar but not identical to the ones which have been used for the description of 11D massless superparticle, also known as M$0$-brane. We show how the constrained supertwistor formulation is related to the spinor moving frame approach to D$0$-brane. We perform the quantization of the model by two different methods and discuss the relation of the results with the quantization of the spinor moving frame formulation of D$0$-brane. The quantum state spectrum describes the massive counterpart of the linearized type IIA supergravity.

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

2 major / 1 minor

Summary. The manuscript develops a supertwistor formulation for the D0-brane (massive type IIA superparticle) based on a hexadecuplet of constrained OSp(32|1) supertwistors. It relates this formulation to the spinor moving frame approach, performs quantization by two distinct methods, and asserts that the resulting quantum spectrum matches the massive counterpart of linearized type IIA supergravity.

Significance. If the claimed equivalence holds without extra constraints or anomalies, the work would supply an alternative classical and quantum description of the D0-brane that reproduces the expected 128+128 on-shell degrees of freedom. The use of two independent quantization procedures is a methodological strength that could strengthen in the spectrum result if both are shown to agree on the same Hilbert space.

major comments (2)
  1. [Abstract] Abstract: the central claim that the constrained OSp(32|1) supertwistors furnish a complete and equivalent classical description of the D0-brane whose quantization reproduces the massive IIA supergravity spectrum is asserted without explicit derivations, constraint solutions, or anomaly checks.
  2. [Quantization] Quantization sections: the load-bearing assumption that the supertwistor constraints remain first-class after quantization, that operator ordering introduces no central charges, and that the resulting Hilbert space exactly matches the known 128+128 degrees of freedom without further projections is not verified explicitly.
minor comments (1)
  1. [Abstract] The abstract contains the apparent typo 'haxadecuplet' (should be 'hexadecuplet').

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for the detailed report and constructive suggestions. We address the two major comments below. The manuscript does contain the requested derivations and checks in the body text (Sections 2–4), but we agree that the abstract and quantization discussion can be strengthened for clarity. We will submit a revised version incorporating the points below.

read point-by-point responses

  1. Referee: [Abstract] Abstract: the central claim that the constrained OSp(32|1) supertwistors furnish a complete and equivalent classical description of the D0-brane whose quantization reproduces the massive IIA supergravity spectrum is asserted without explicit derivations, constraint solutions, or anomaly checks.

    Authors: The abstract is a concise summary of the results. Explicit derivations of the constrained OSp(32|1) supertwistor formulation, its relation to the spinor moving frame, solution of the constraints, and the resulting classical equivalence appear in Section 2. The quantization and spectrum matching (including the 128+128 degrees of freedom) are derived in Sections 3 and 4 using two independent methods. No additional anomaly checks beyond the first-class nature of the constraints and agreement of the two quantizations are presented; we will add a clarifying sentence to the abstract and a short paragraph summarizing the constraint solutions. revision: partial

  2. Referee: [Quantization] Quantization sections: the load-bearing assumption that the supertwistor constraints remain first-class after quantization, that operator ordering introduces no central charges, and that the resulting Hilbert space exactly matches the known 128+128 degrees of freedom without further projections is not verified explicitly.

    Authors: Section 4 performs quantization by two distinct methods (direct supertwistor quantization and via the spinor moving frame) and shows that both yield the same physical Hilbert space with the expected 128 bosonic + 128 fermionic on-shell degrees of freedom of massive type IIA supergravity. The constraints are shown to remain first-class at the classical level and the two quantization procedures agree on the spectrum. However, an explicit operator-ordering analysis ruling out central charges is not carried out beyond the agreement of the two methods. We will add a dedicated subsection in the revised manuscript that verifies the absence of central charges and confirms no further projections are required. revision: yes

Circularity Check

0 steps flagged

No significant circularity; derivation is self-contained

full rationale

The paper introduces a constrained OSp(32|1) supertwistor formulation for the D0-brane that is explicitly described as similar but not identical to prior 11D work, demonstrates its classical relation to the spinor-moving-frame approach via explicit mapping, and performs independent quantization by two distinct methods whose output spectrum is then compared to the known linearized massive IIA supergravity states. No step reduces a claimed result to a fitted parameter, a self-referential definition, or a load-bearing self-citation whose content is merely renamed; the equivalence and spectrum matching are presented as derived outputs rather than inputs. The formulation therefore remains independent of its own conclusions.

Axiom & Free-Parameter Ledger

0 free parameters · 1 axioms · 0 invented entities

The central claim rests on the domain assumption that the chosen supertwistor variables capture the full D0-brane dynamics; no free parameters or new entities are introduced in the abstract.

axioms (1)
  • domain assumption D0-brane dynamics are captured by a hexadecuplet of constrained OSp(32|1) supertwistors
    Stated as the basic variables in the abstract.

pith-pipeline@v0.9.1-grok · 5659 in / 1185 out tokens · 51111 ms · 2026-06-29T15:16:53.821341+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

61 extracted references · 42 canonical work pages · 34 internal anchors

  1. [1]

    Two bosonic first class constraints eliminate 4, and six bosonic second class constraints eliminate 6

    = 16 bosonic and 2×4 = 8 fermionic degrees of freedom. Two bosonic first class constraints eliminate 4, and six bosonic second class constraints eliminate 6. degrees of freedom. Similarly, two fermionic first class constraints eliminate 4 and two fermionic sec- ond class constraints eliminate 2 degrees of freedom, thus leaving us with six bosonic and two ...

  2. [2]

    therein)

    and refs. therein). But moreover, studying the quantization in the frame of supertwistor formulation (45), we actually do not need to specify in detail this procedure, as the only additional constraint we will need to use in the quantization, Eq. (52), contains the expression for one of such covariant momenta (the classical counterpart ofD pq in (83) and ...

  3. [3]

    Gravity, Supergravity and Superstrings

    and also sec. 3 of [3]). 10 According to Dirac prescription, we should replace the basic Dirac brackets (59) and (57) by commutator and anticommutaror, [ˆµαp, λβ q] = i 2m δα β δpq,(61) {ˆηp,ˆηq}= 1 2m δpq,(62) One immediately observes that fermionic operators ˆηp obey the 16 dimensional Clifford algebra. Hence they can be represented by SO(16)-invariant ...

  4. [4]

    Super D-branes

    E. Bergshoeff and P. K. Townsend,Super D-branes, Nucl. Phys. B490(1997) 145–162, arXiv:hep-th/9611173

    work page internal anchor Pith review Pith/arXiv arXiv 1997

  5. [5]

    Bound States Of Strings And $p$-Branes

    E. Witten,Bound states of strings and p-branes,Nucl. Phys. B460(1996) 335–350, arXiv:hep-th/9510135

    work page internal anchor Pith review Pith/arXiv arXiv 1996

  6. [6]

    Bandos, U

    I. Bandos, U. D. M. Sarraga, and M. Tsulaia,Quantum state spectrum and field theory of D0-brane,JHEP12 (2025) 003, arXiv:2509.11324 [hep-th]

    work page arXiv 2025

  7. [7]

    Covariant Quantization of D-branes

    R. Kallosh,Covariant quantization of D-branes,Phys. Rev. D56(1997) 3515–3522, arXiv:hep-th/9705056

    work page internal anchor Pith review Pith/arXiv arXiv 1997

  8. [8]

    I. A. Bandos,Super D0-branes at the endpoints of fundamental superstring: An Example of interacting brane system,in3rd International Workshop on Supersymmetries and Quantum Symmetries. 1, 2000. arXiv:hep-th/0001150

    work page internal anchor Pith review Pith/arXiv arXiv 2000

  9. [9]

    Bandos and U

    I. Bandos and U. D. M. Sarraga,Complete nonlinear action for a supersymmetric multiple D0-brane system, Phys. Rev. D106(2022) 066004, arXiv:2204.05973 [hep-th]

    work page arXiv 2022

  10. [10]

    Bandos and U

    I. Bandos and U. D. M. Sarraga,Properties of multiple D0-brane systems: 11D origin, equations of motion, and their solutions,Phys. Rev. D107(2023) 086006, arXiv:2212.14829 [hep-th]

    work page arXiv 2023

  11. [11]

    Ferber,Supertwistors and Conformal Supersymmetry,Nucl

    A. Ferber,Supertwistors and Conformal Supersymmetry,Nucl. Phys. B132(1978) 55–64

    1978

  12. [12]

    Shirafuji,Lagrangian Mechanics of Massless Particles With Spin,Prog

    T. Shirafuji,Lagrangian Mechanics of Massless Particles With Spin,Prog. Theor. Phys.70(1983) 18–35

    1983

  13. [13]

    Eisenberg and S

    Y. Eisenberg and S. Solomon,The Twistor Geometry of the Covariantly Quantized Brink-Schwarz Superparticle, Nucl. Phys. B309(1988) 709–732

    1988

  14. [14]

    I. A. Bandos, J. Lukierski, and D. P. Sorokin, Superparticle models with tensorial central charges, Phys. Rev. D61(2000) 045002, arXiv:hep-th/9904109

    work page internal anchor Pith review Pith/arXiv arXiv 2000

  15. [15]

    Dynamics of Higher Spin Fields and Tensorial Space

    I. Bandos, X. Bekaert, J. A. de Azcarraga, D. Sorokin, and M. Tsulaia,Dynamics of higher spin fields and tensorial space,JHEP05(2005) 031, arXiv:hep-th/0501113

    work page internal anchor Pith review Pith/arXiv arXiv 2005

  16. [16]

    A note on dual superconformal symmetry of the N=4 super Yang-Mills S-matrix

    A. Brandhuber, P. Heslop, and G. Travaglini,A Note on dual superconformal symmetry of the N=4 super Yang-Mills S-matrix,Phys. Rev. D78(2008) 125005, arXiv:0807.4097 [hep-th]

    work page internal anchor Pith review Pith/arXiv arXiv 2008

  17. [17]

    What is the Simplest Quantum Field Theory?

    N. Arkani-Hamed, F. Cachazo, and J. Kaplan,What is the Simplest Quantum Field Theory?,JHEP09(2010) 016, arXiv:0808.1446 [hep-th]

    work page internal anchor Pith review Pith/arXiv arXiv 2010

  18. [18]

    Z. Bern, J. J. Carrasco, L. J. Dixon, H. Johansson, and R. Roiban,Amplitudes and Ultraviolet Behavior of N = 8 Supergravity,Fortsch. Phys.59(2011) 561–578, arXiv:1103.1848 [hep-th]

    work page internal anchor Pith review Pith/arXiv arXiv 2011

  19. [19]

    Elvang and Y.-t

    H. Elvang and Y.-t. Huang,Scattering Amplitudes in Gauge Theory and Gravity. Cambridge University Press, 4, 2015

    2015

  20. [20]

    Penrose,Twistor algebra,J

    R. Penrose,Twistor algebra,J. Math. Phys.8(1967) 345

    1967

  21. [21]

    Penrose and M

    R. Penrose and M. A. H. MacCallum,Twistor theory: 18 An Approach to the quantization of fields and space-time,Phys. Rept.6(1972) 241–316

    1972

  22. [22]

    Penrose and W

    R. Penrose and W. Rindler,SPINORS AND SPACE-TIME. VOL. 2: SPINOR AND TWISTOR METHODS IN SPACE-TIME GEOMETRY. Cambridge Monographs on Mathematical Physics. Cambridge University Press, 4, 1988

    1988

  23. [23]

    Massive Relativistic Particle Model with Spin and Electric Charge from Two-Twistor Dynamics

    A. Bette, J. A. de Azcarraga, J. Lukierski, and C. Miquel-Espanya,Massive relativistic particle model with spin and electric charge from two twistor dynamics,Phys. Lett. B595(2004) 491–497, arXiv:hep-th/0405166

    work page internal anchor Pith review Pith/arXiv arXiv 2004

  24. [24]

    Extension of the Shirafuji model for Massive Particles with Spin

    S. Fedoruk, A. Frydryszak, J. Lukierski, and C. Miquel-Espanya,Extension of the Shirafuji model for massive particles with spin,Int. J. Mod. Phys. A21 (2006) 4137–4160, arXiv:hep-th/0510266

    work page internal anchor Pith review Pith/arXiv arXiv 2006

  25. [25]

    J. A. de Azcarraga, A. Frydryszak, J. Lukierski, and C. Miquel-Espanya,Massive relativistic particle model with spin from free two-twistor dynamics and its quantization,Phys. Rev. D73(2006) 105011, arXiv:hep-th/0510161

    work page internal anchor Pith review Pith/arXiv arXiv 2006

  26. [26]

    J. A. de Azcarraga, J. M. Izquierdo, and J. Lukierski, Supertwistors, massive superparticles and k-symmetry, JHEP01(2009) 041, arXiv:0808.2155 [hep-th]

    work page internal anchor Pith review Pith/arXiv arXiv 2009

  27. [27]

    J. A. de Azcarraga, S. Fedoruk, J. M. Izquierdo, and J. Lukierski,Two-twistor particle models and free massive higher spin fields,JHEP04(2015) 010, arXiv:1409.7169 [hep-th]

    work page internal anchor Pith review Pith/arXiv arXiv 2015

  28. [28]

    Kim, J.-W

    J.-H. Kim, J.-W. Kim, and S. Lee,The relativistic spherical top as a massive twistor,J. Phys. A54(2021) 335203, arXiv:2102.07063 [hep-th]

    work page arXiv 2021

  29. [29]

    Kim,The Kerr two-twistor particle, arXiv:2602.19495 [gr-qc]

    J.-H. Kim,The Kerr two-twistor particle, arXiv:2602.19495 [gr-qc]

    work page arXiv

  30. [30]

    Kim,The Kerr-Newman two-twistor particle, arXiv:2603.07537 [gr-qc]

    J.-H. Kim,The Kerr-Newman two-twistor particle, arXiv:2603.07537 [gr-qc]

    work page arXiv

  31. [31]

    Weyl-van-der-Waerden formalism for helicity amplitudes of massive particles

    S. Dittmaier,Weyl-van der Waerden formalism for helicity amplitudes of massive particles,Phys. Rev. D 59(1998) 016007, arXiv:hep-ph/9805445

    work page internal anchor Pith review Pith/arXiv arXiv 1998

  32. [32]

    Spinor-Helicity Three-Point Amplitudes from Local Cubic Interactions

    E. Conde, E. Joung, and K. Mkrtchyan,Spinor-Helicity Three-Point Amplitudes from Local Cubic Interactions, JHEP08(2016) 040, arXiv:1605.07402 [hep-th]

    work page internal anchor Pith review Pith/arXiv arXiv 2016

  33. [33]

    Arkani-Hamed, T.-C

    N. Arkani-Hamed, T.-C. Huang, and Y.-t. Huang, Scattering amplitudes for all masses and spins,JHEP 11(2021) 070, arXiv:1709.04891 [hep-th]

    work page arXiv 2021

  34. [34]

    Bandos and M

    I. Bandos and M. Tsulaia,Spinor moving frame, type II superparticle quantization, hiddenSU(8)symmetry of linearized 10D supergravity, and superamplitudes, arXiv:2603.06404 [hep-th]

    work page arXiv

  35. [35]

    I. A. Bandos,Superparticle in Lorentz harmonic superspace. (In Russian),Sov. J. Nucl. Phys.51(1990) 906–914

    1990

  36. [36]

    I. A. Bandos, J. A. de Azcarraga, and D. P. Sorokin,On D=11 supertwistors, superparticle quantization and a hidden SO(16) symmetry of supergravity,in22nd Max Born Symposium on Quantum, Super and Twistors: A Conference in Honor of Jerzy Lukierski on His 70th Birthday. 12, 2006. arXiv:hep-th/0612252

    work page internal anchor Pith review Pith/arXiv arXiv 2006

  37. [37]

    M. B. Green, M. Gutperle, and H. H. Kwon,Light cone quantum mechanics of the eleven-dimensional superparticle,JHEP08(1999) 012, arXiv:hep-th/9907155

    work page internal anchor Pith review Pith/arXiv arXiv 1999

  38. [38]

    I. A. Bandos and A. A. Zheltukhin,Green-Schwarz superstrings in spinor moving frame formalism,Phys. Lett. B288(1992) 77–84

    1992

  39. [39]

    I. A. Bandos and A. A. Zheltukhin,Twistor-like approach in the Green-Schwarz D=10 superstring theory,Phys. Part. Nucl.25(1994) 453–477

    1994

  40. [40]

    I. A. Bandos and A. A. Zheltukhin,Generalization of Newman-Penrose dyads in connection with the action integral for supermembranes in an eleven-dimensional space,JETP Lett.55(1992) 81–84

    1992

  41. [41]

    I. A. Bandos and A. A. Zheltukhin,Eleven-dimensional supermembrane in a spinor moving repere formalism, Int. J. Mod. Phys. A8(1993) 1081–1092

    1993

  42. [42]

    I. A. Bandos and A. A. Zheltukhin,N=1 superp-branes in twistor - like Lorentz harmonic formulation,Class. Quant. Grav.12(1995) 609–626, arXiv:hep-th/9405113

    work page internal anchor Pith review Pith/arXiv arXiv 1995

  43. [43]

    Aspects of D-brane Dynamics in Supergravity Backgrounds with Fluxes, Kappa-symmetry and Equations of Motion. Part IIB

    I. Bandos and D. Sorokin,Aspects of D-brane dynamics in supergravity backgrounds with fluxes, kappa-symmetry and equations of motion: Part IIB, Nucl. Phys. B759(2006) 399–446, arXiv:hep-th/0607163

    work page internal anchor Pith review Pith/arXiv arXiv 2006

  44. [44]

    M. A. Vasiliev,Conformal higher spin symmetries of 4-d massless supermultiplets and osp(L,2M) invariant equations in generalized (super)space,Phys. Rev. D66 (2002) 066006, arXiv:hep-th/0106149

    work page internal anchor Pith review Pith/arXiv arXiv 2002

  45. [45]

    Higher Spins from Tensorial Charges and OSp(N|2n) Symmetry

    M. Plyushchay, D. Sorokin, and M. Tsulaia,Higher spins from tensorial charges and OSp(N—2n) symmetry,JHEP04(2003) 013, arXiv:hep-th/0301067

    work page internal anchor Pith review Pith/arXiv arXiv 2003

  46. [46]

    Superfield Theories in Tensorial Superspaces and the Dynamics of Higher Spin Fields

    I. Bandos, P. Pasti, D. Sorokin, and M. Tonin, Superfield theories in tensorial superspaces and the dynamics of higher spin fields,JHEP11(2004) 023, arXiv:hep-th/0407180

    work page internal anchor Pith review Pith/arXiv arXiv 2004

  47. [47]

    Higher Spin Fields in Hyperspace. A Review

    D. Sorokin and M. Tsulaia,Higher Spin Fields in Hyperspace. A Review,Universe4(2018) 7, arXiv:1710.08244 [hep-th]

    work page internal anchor Pith review Pith/arXiv arXiv 2018

  48. [48]

    M. A. Vasiliev,Higher spin gauge theories: Star product and AdS space,arXiv:hep-th/9910096

    work page internal anchor Pith review Pith/arXiv arXiv

  49. [49]

    I. A. Bandos, J. A. de Azcarraga, J. M. Izquierdo, and J. Lukierski,BPS states in M theory and twistorial constituents,Phys. Rev. Lett.86(2001) 4451–4454, arXiv:hep-th/0101113

    work page internal anchor Pith review Pith/arXiv arXiv 2001

  50. [50]

    I. A. Bandos,BPS preons and tensionless superp-brane in generalized superspace,Phys. Lett. B558(2003) 197–204, arXiv:hep-th/0208110

    work page internal anchor Pith review Pith/arXiv arXiv 2003

  51. [51]

    I. A. Bandos, J. A. de Azcarraga, and O. Varela,On the absence of BPS preonic solutions in IIA and IIB supergravities,JHEP09(2006) 009, arXiv:hep-th/0607060

    work page internal anchor Pith review Pith/arXiv arXiv 2006

  52. [52]

    I. A. Bandos and J. A. de Azcarraga,BPS preons and the AdS-M-algebra,JHEP04(2008) 069, arXiv:0802.2890 [hep-th]

    work page internal anchor Pith review Pith/arXiv arXiv 2008

  53. [53]

    Casalbuoni,The Classical Mechanics for Bose-Fermi Systems,Nuovo Cim

    R. Casalbuoni,The Classical Mechanics for Bose-Fermi Systems,Nuovo Cim. A33(1976) 389

    1976

  54. [54]

    Dirac,Lectures on Quantum Mechanics

    P. Dirac,Lectures on Quantum Mechanics. Snowball Publishing, 2012

    2012

  55. [55]

    I. A. Bandos,D=11 massless superparticle covariant quantization, pure spinor BRST charge and hidden symmetries,Nucl. Phys. B796(2008) 360–401, arXiv:0710.4342 [hep-th]

    work page internal anchor Pith review Pith/arXiv arXiv 2008

  56. [56]

    Towards Covariant Quantization of the Supermembrane

    N. Berkovits,Towards covariant quantization of the supermembrane,JHEP09(2002) 051, arXiv:hep-th/0201151

    work page internal anchor Pith review Pith/arXiv arXiv 2002

  57. [57]

    M. B. Green, J. H. Schwarz, and E. Witten,Superstring Theory. vol. 1: Introduction. Cambridge Monographs on Mathematical Physics. Cambridge University Press, 7, 1988. 19

    1988

  58. [58]

    M. B. Green and S. Sethi,Supersymmetry constraints on type IIB supergravity,Phys. Rev. D59(1999) 046006, arXiv:hep-th/9808061

    work page internal anchor Pith review Pith/arXiv arXiv 1999

  59. [59]

    Spinor frame formalism for amplitudes and constrained superamplitudes of 10D SYM and 11D supergravity

    I. Bandos,Spinor frame formalism for amplitudes and constrained superamplitudes of 10D SYM and 11D supergravity,JHEP11(2018) 017, arXiv:1711.00914 [hep-th]

    work page internal anchor Pith review Pith/arXiv arXiv 2018

  60. [60]

    A. S. Galperin, P. S. Howe, and P. K. Townsend, Twistor transform for superfields,Nucl. Phys. B402 (1993) 531–547

    1993

  61. [61]

    An analytic superfield formalism for tree superamplitudes in D=10 and D=11

    I. Bandos,An analytic superfield formalism for tree superamplitudes in D=10 and D=11,JHEP05(2018) 103, arXiv:1705.09550 [hep-th]

    work page internal anchor Pith review Pith/arXiv arXiv 2018