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S-algebra in Gauge Theory: Twistor, Spacetime and Holographic Perspectives

T0 review · 3 major / 4 minor · reviewed 2026-08-07 · deepseek-v4-flash

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Pith's one-line read The celestial S-algebra of Yang-Mills is the symmetry algebra of self-dual Yang-Mills as an integrable system, unifying twistor, null-infinity and twisted-holography descriptions through one Hamiltonian origin.

desk verdict A serious unification of celestial S-algebra descriptions; the main caveat is a load-bearing but honestly stated Schwartz fall-off assumption. read the letter →

arxiv 2506.01888 v1 pith:BBI7PATS submitted 2025-06-02 hep-th

Adam Kmec , Lionel Mason , Romain Ruzziconi , Atul Sharma This is my paper
classification hep-th
keywords celestialholographyS-algebraself-dualYang-Millstwistorspacenullinfinityasymptoticsymmetriesintegrablesystemstwisted
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

Self-dual Yang-Mills is classically integrable, and this paper's central claim is that its symmetry algebra is exactly the celestial S-algebra, the loop algebra of holomorphic maps from $\mathbb{C}^2$ into a Lie algebra $\mathfrak{g}$, together with a negative-helicity counterpart. The authors show that the S-algebra acts on twistor space as large gauge transformations, and they derive from the twistor action two infinite towers of Noether charges, one per gluon helicity, built from Freidel-Pranzetti-Raclariu (FPR) charge aspects at null infinity. The same charge aspects yield both Carrollian corner charges and chiral celestial currents, depending on the choice of Cauchy surface, thereby unifying the twistor, null-infinity, and twisted-holography descriptions. The climax is a nonlinear extrapolate dictionary: correlators of bulk twistor-space creation operators equal correlators of currents in a universal defect CFT living on twistor lines. If correct, this gives the S-algebra a single Hamiltonian origin in integrability, extending also to the LHam($\mathbb{C}^2$) symmetries of self-dual gravity.

What carries the argument

The engine is the twistor uplift of self-dual Yang-Mills via the Ward correspondence, where the S-algebra appears as large holomorphic gauge transformations $\xi, \varphi$ of the twistor bundle, together with the Bramson-Tod charge aspects $R_s = \int_{L_{u,z}} dq\, q^{s+1} f^{-1} b f$ and $\tilde R_s = \int_{L_{u,z}} dq\, q^{s+1} f^{-1} \partial_u a\, f$, which satisfy the FPR recursion relations $\partial_u R_s + D_{\bar z} R_{s-1} = 0$ and their negative-helicity analogue. These aspects are the building blocks of both the corner charges $Q_\xi$ and the celestial currents $J_\xi$, and of their negative-helicity counterparts. The recursion relations, together with the dual recursions for soft-gluon parameters $\xi_s, \varphi_s$, carry the integrable-system structure of sdYM to the asymptotic data at null infinity, so that all conserved quantities are encoded by the same charge aspects.

What would settle it

On a self-dual Yang-Mills solution whose twistor field $b$ has algebraic decay at $q = \infty$, evaluate the spin-2 aspect $R_2$ and check whether $\partial_u R_2 + D_{\bar z} R_1 = 0$ holds; if the Bramson-Tod integral diverges or the $q = \infty$ total-derivative term survives, the tower of S-algebra charges and the claimed symmetry algebra fail for that background.

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Extended reading notes

Core claim

The paper establishes, in the self-dual sector, a three-way equivalence: the S-algebra of soft gluon symmetries, originally discovered in collinear limits of the Yang-Mills S-matrix, is the symmetry algebra of self-dual Yang-Mills as an integrable system. Its Noether charges are shown to be built from two towers of charge aspects at null infinity, and its correlators obey a nonlinear identity, Eq. (5.64), that ties bulk creation operators to the universal defect CFT of twisted holography. The mechanism is the identification of the full Yang-Mills radiative phase space at null infinity with the phase space of self-dual Yang-Mills, so that integrable-system flows act on the same data that define scattering observables. On the boundary, these charges become both Carrollian corner charges and chiral currents of the celestial CFT, and the same FPR recursions govern both.

Load-bearing premise

The whole tower of higher-spin charges and their recursion relations relies on the twistor field $b$ (and $\partial_u a$) decaying faster than any polynomial at $q = \infty$ along each asymptotic twistor line; if the fall-off is only polynomial, the higher-spin charge aspects become ill-defined and the recursion relations pick up boundary terms, so the Noether realization of the S-algebra would break above some spin.

Editorial extensions

If this is right

  • The S-algebra charges become Noether charges of self-dual Yang-Mills, with an explicit Hamiltonian formulation and flux-balance laws when radiation is nonzero.
  • The same charge aspects appear in both Carrollian corner charges and chiral celestial currents, realizing the Carrollian-celestial correspondence at the level of conserved charges.
  • Every solution of the dual recursion relations gives a soft gluon wavefunction, and the resulting charges obey the S-algebra commutator $[\xi^a_{k,l,r}, \xi^b_{m,n,s}] = f^{abc} \xi^c_{k+m,l+n,r+s}$ even in the nonlinear, field-dependent setting.
  • The extrapolate dictionary (5.64) makes the Costello-Paquette correlator prescription exact for gauge-invariant operators at tree level in sdYM, equating bulk creation operators at $\mu = \infty$ with defect-CFT currents at $\mu = 0$.
  • In the gravitational extension, the analogous statement holds for the LHam($\mathbb{C}^2$) symmetries of self-dual gravity, giving a unified picture of gluon and graviton soft symmetries.
  • Turning on non-self-dual interactions, the conservation $\partial_{\bar z} J = 0$ is expected to fail; the anomaly is computable via Eq. (6.2) and can be used to constrain matter content or deformations of the algebra.

Reading between the lines

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

  • If the S-algebra is genuinely the symmetry algebra of an integrable system, one would expect the higher charges of the sdYM hierarchy to reproduce the same algebra through the recursion operator; a direct integrable-systems-only derivation of the S-algebra commutator would strengthen the identification.
  • The Schwartz fall-off condition implies a physical cutoff: for solutions with only polynomial twistor fall-off, the tower of conserved charges truncates at a finite spin, offering a natural notion of approximate S-algebra symmetry with a spin-dependent breakdown scale.
  • The gauge-invariant currents constructed in section 5 are expected to remain well-defined beyond the self-dual sector, with conservation becoming anomalous; computing this anomaly could give a precise beyond-MHV obstruction to the S-algebra and possibly constrain the allowed matter content.
  • The same three-way equivalence for the S-algebra suggests that the gravitational LHam($\mathbb{C}^2$) case admits an equally explicit nonlinear extrapolate dictionary, whose form could be derived by repeating the section 5 construction for the nonlinear graviton.
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Editorial analysis

A structured set of objections, weighed in public.

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

Referee Report

3 major / 4 minor

Summary. The paper claims a unified treatment of the celestial S-algebra in Yang-Mills theory by identifying it with the symmetry algebra of self-dual Yang-Mills (sdYM) as an integrable system. The authors construct two infinite towers of charge aspects, R_s and eR_s, from twistor data, derive Freidel-Pranzetti-Raclariu recursion relations, and use them to build Noether charges both as Carrollian corner charges and as celestial chiral currents. They further propose a nonlinear extrapolate dictionary (Eq. (5.64)) relating bulk twistor-space creation operators to currents of a universal defect CFT, extending earlier linear and twisted-holography constructions. The paper is explicit about many of its assumptions, notably the Schwartz fall-off in Section 2.4 and the boundary-condition weights in Section 4.1.

Significance. If the main claims hold, the paper provides a single Hamiltonian origin for the S-algebra that unifies twistor, null-infinity, and twisted-holography perspectives in the self-dual sector. The construction is largely explicit and parameter-free: the charge aspects are concrete integrals of the fields, the recursion relations are written out, and the Noether charges are given in closed form. The paper also honestly flags where its arguments are formal, and it extends a well-developed body of work by the same authors and others. The scope of the result is substantial, but the current manuscript leaves at least two load-bearing points—the Schwartz regularity assumption and the proof of nonlinear closure—at a level that needs to be tightened before the central claims can be considered fully established.

major comments (3)
  1. [§2.4, Eqs. (2.69) and (2.80)] The Schwartz fall-off assumption stated in §2.4 is load-bearing for all higher-spin charges. The paper says, 'We will assume that b exhibits such a Schwartz behavior,' and applies the same assumption to ∂_u a. This is needed for the Bramson-Tod integrals (2.69) and (2.80) to define R_s and eR_s for all s≥−1, and it is also used to drop the boundary term at q=∞ when deriving the FPR recursions (2.73) and (2.82). Since the corner charges (4.54), celestial currents (4.64), and the extrapolate dictionary (5.64) involve sums over the entire tower s=0,...,∞, the paper's central identification of the S-algebra with the Hamiltonian symmetry algebra of sdYM is established only for twistor data in this Schwartz class. The assumption is not derived from the Yang-Mills equations, from radiative boundary conditions at I, or from the blow-up boundary conditions of §4.1; the text explicitly concedes that other fall-offs leave only a subset of the aspects well-defined. Please either prove that generic radiative data satisfy this fall-off, or state the main theorems as restricted to this class and explain the dependence of the conclusions on that restriction.
  2. [§4.3 and §5.1] The proof that the nonlinear soft-gluon generators close into the S-algebra relies on a 'formal uniqueness of solutions of the dual recursion relations' (end of §4.3) and on the analogous assertion below Eq. (5.47). The calculation shows that the commutator satisfies the same dual recursion and has the correct leading behavior, but uniqueness of the solution to the dual recursions with the imposed boundary conditions is not proven. Because this closure is what identifies the field-dependent gauge transformations with the S-algebra in the nonlinear theory, the central claim requires a precise uniqueness statement or an alternative proof that does not depend on this formal step.
  3. [§5.2, Eq. (5.64)] The extrapolate dictionary identity (5.64) is derived by shifting a and b by the scattering states and then dropping 'nonlinear terms in δa_i, δb_j' on the grounds that the states are proportional to delta functions in z and hence wedge to zero. This step is not fully justified: soft-gluon states are distributional, and the shift in the 6d action produces terms quadratic in the shifts whose vanishing requires a careful distributional argument. Since (5.64) is the culminating claim of the paper, the derivation should be made rigorous, or the scope should be stated precisely (for example, linearized states with disjoint support).
minor comments (4)
  1. [§4.5, near Eq. (4.70)] The basis of modes in (4.70) contains an unresolved cross-reference '(??)'; please fill in the missing equation number.
  2. [§5.1, after Eq. (5.42)] The sentence 'The obey the conservation laws' should read 'They obey the conservation laws.'
  3. [§2.2, Eqs. (2.36)–(2.40)] The statement that the intersections [q¯ζ]=0 'move to the points q=∞' is easy to misread, since in the homogeneous coordinates of (2.36) the intersection point is at q=0; please clarify the relation between the homogeneous q and the affine coordinate q used in (2.40).
  4. [§4.1, footnote 9] The discussion of boundary conditions via the holomorphic BF action on the blow-up notes that the kinetic term requires a modification of ¯∂ and asks for ¯∂A to have a first-order zero at n=0. This caveat affects the status of the boundary conditions (4.11) and deserves more than a footnote, as the paper relies on these boundary conditions for the classification of large gauge transformations.

Circularity Check

0 steps flagged · score 0.0 of 10

No significant circularity: the central derivations are self-contained, with the Schwartz fall-off serving as a stated regularity assumption rather than a hidden input.

full rationale

The paper's derivation chain is self-contained. The charge aspects R_s and eR_s are defined as explicit Bramson–Tod integrals (2.69) and (2.80), and the FPR recursion relations (2.73) and (2.82) are derived from the twistor equations of motion, with the Schwartz fall-off invoked only to remove boundary terms at q=∞. The identification of the S-algebra with large gauge transformations is obtained by classifying boundary-condition-violating modes of the twistor action in Section 4.1–4.2, and the algebra (4.48) is computed from the modified Barnich–Troessaert bracket and the dual recursion relations, not imported as a conclusion. The extrapolate dictionary (5.64) is established by a shift of path-integral variables (5.61)–(5.63) in which the bulk charges (5.56) and defect couplings (5.53) are matched; this is an exact equivalence, not a fitted prediction. Self-citations to [13] and [42] supply conventions and the linear-theory seed, but the nonlinear charges and dictionary are derived in the present paper rather than assumed. The Schwartz fall-off assumption stated in Section 2.4 ('We will assume that b exhibits such a Schwartz behavior') is a genuine regularity condition whose failure would limit the higher-spin charge aspects, but that is a correctness or domain-of-validity concern, not circularity.

Assumptions & free parameters 0 free parameters · 6 assumptions · 0 invented entities

The central claim rests on standard twistor theory (Ward correspondence), a domain identification of the sdYM phase space with the full Yang-Mills radiative phase space at null infinity, and several ad hoc but explicitly stated analytic and boundary conditions: Schwartz decay of b and ∂_u a at q = ∞, weight/boundary conditions on the blown-up twistor space that make soft gluons the overleading modes, and a formal uniqueness assumption for the dual recursions. No numerically fitted parameters appear; the charge aspects and currents are explicit functionals of the fields.

assumptions (6)
  • standard math Ward correspondence between self-dual gauge fields and holomorphic bundles on twistor space
    Invoked in section 2.1 to uplift sdYM to holomorphic BF theory on PT; a standard theorem of twistor theory, cited as [7].
  • domain assumption The self-dual phase space can be canonically identified with that of full Yang-Mills at null infinity
    Used in the abstract and throughout to justify that S-algebra charges in the self-dual sector describe the full Yang-Mills radiative phase space; relies on prior FPR work and the authors' gravity analog [13] rather than a proof in this paper.
  • ad hoc to paper The twistor field b (and ∂_u a) decays faster than any polynomial at q = ∞ along asymptotic twistor lines
    Assumed in section 2.4 so all Bramson-Tod integrals (2.69), (2.80) converge and the total-derivative terms vanish in the FPR recursion derivations (2.73), (2.82). This is a regularity assumption, not a consequence of the equations of motion.
  • ad hoc to paper Boundary conditions a ∼ O(η), b ∼ O(η^{-3}) on the blown-up twistor space, i.e. A ∈ Ω^{0,1}(PT,O(-1,1)⊗g), B ∈ Ω^{0,1}(PT,O(-1,-3)⊗g)
    Chosen in section 4.1 so that soft gluons are precisely the overleading modes violating the boundary conditions; this defines which gauge transformations count as asymptotic symmetries generating the S-algebra.
  • ad hoc to paper Formal uniqueness of solutions of the dual recursion relations determining nonlinear soft-gluon generators
    Used in sections 4.3 and 5.1 to infer that a bracket of soft-gluon generators is again a soft-gluon generator of the expected label, proving the S-algebra without an explicit all-orders computation.
  • domain assumption Scattering states δa_i, δb_j have delta-function support in z, so products of their differential forms vanish
    Used in section 5.2 in the path-integral proof of the dictionary identity (5.64) to drop nonlinear terms after the field shift (5.61).

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Cite this review

Pith. "Pith review of S-algebra in Gauge Theory: Twistor, Spacetime and Holographic Perspectives." pith.science (2026). https://pith.science/paper/BBI7PATS

@misc{pith2026250601888,
  author       = {Pith},
  title        = {Pith review of: S-algebra in Gauge Theory: Twistor, Spacetime and Holographic Perspectives},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/BBI7PATS}},
  note         = {Machine review of arXiv:2506.01888}
}
abstract

The celestial $S$-algebra arose from a reinterpretation of collinear limits of the Yang-Mills S-matrix as OPEs in celestial holography. It was subsequently represented via asymptotic charge aspects defined in the Yang-Mills radiative phase space defined at null infinity on the one hand, and via a twisted holography vertex algebra construction in twistor space on the other. Here we first identify it with the traditional symmetry algebra of self-dual Yang-Mills theory as an integrable system via its hierarchies of conserved quantities and associated flows; the self-dual phase space can be canonically identified with that of full Yang-Mills at null infinity $\mathscr{I}$. We derive the associated canonical generators from the twistor space action, identifying two infinite towers of charges corresponding to the two gluon helicities. These expressions are translated into spacetime data at null infinity using twistor integral formulae. Examining the charge algebra at spacelike infinity reveals the vertex algebras studied in the context of twisted holography. Our discussion extends directly to the celestial LHam$(\mathbb{C}^2)$ symmetries of self-dual gravity. This analysis provides a unified framework for celestial symmetries, connecting twistor, spacetime, and holographic approaches and culminating in a nonlinear extrapolate dictionary for self-dual gauge theory.

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Reference graph

Works this paper leans on

85 extracted references · 18 canonical work pages · cited by 2 Pith papers

  1. [42]

    Costello, N

    K. Costello, N. M. Paquette, and A. Sharma,Burns space and holography,JHEP10(2023) 174, [arXiv:2306.00940]

    arXiv 2023

  2. [1]

    Strominger,w 1+∞ Algebra and the Celestial Sphere: Infinite Towers of Soft Graviton, Photon, and Gluon Symmetries,Phys

    A. Strominger,w 1+∞ Algebra and the Celestial Sphere: Infinite Towers of Soft Graviton, Photon, and Gluon Symmetries,Phys. Rev. Lett.127(2021), no. 22 221601

    2021

  3. [2]

    Guevara, E

    A. Guevara, E. Himwich, M. Pate, and A. Strominger,Holographic symmetry algebras for gauge theory and gravity,JHEP11(2021) 152, [arXiv:2103.03961]

    arXiv 2021

  4. [3]

    Adamo, L

    T. Adamo, L. Mason, and A. Sharma,Celestialw 1+∞ Symmetries from Twistor Space, SIGMA18(2022) 016, [arXiv:2110.06066]

    arXiv 2022

  5. [4]

    Penrose,The Nonlinear Graviton,Gen

    R. Penrose,The Nonlinear Graviton,Gen. Rel. Grav.7(1976) 171–176

    1976

  6. [5]

    Penrose,Nonlinear gravitons and curved twistor theory,Gen

    R. Penrose,Nonlinear gravitons and curved twistor theory,Gen. Rel. Grav.7(1976) 31–52

    1976

  7. [6]

    Costello and N

    K. Costello and N. M. Paquette,Celestial holography meets twisted holography: 4d amplitudes from chiral correlators,JHEP10(2022) 193, [arXiv:2201.02595]

    arXiv 2022

  8. [7]

    R. S. Ward,On self-dual gauge fields,Phys. Lett. A61(1977) 81–82

    1977

Show all 85 references
  1. [8]

    C. P. Boyer and J. F. Plebanski,An Infinite Hierarchy of Conservation Laws and Nonlinear Superposition Principles for Self-dual Einstein Spaces,J. Math. Phys.26(1985) 229–234

    1985

  2. [9]

    L. J. Mason,H-space: a universal integrable system?,Twistor Newsletter30(1990) 14–17

    1990

  3. [10]

    Dunajski and L

    M. Dunajski and L. Mason,HyperKahler hierarchies and their twistor theory,Commun. Math. Phys.213(2000) 641–672, [math/0001008]

    2000 arXiv

  4. [11]

    Mason,Gravity from holomorphic discs and celestialLw 1+∞ symmetries, arXiv:2212.10895

    L. Mason,Gravity from holomorphic discs and celestialLw 1+∞ symmetries, arXiv:2212.10895

    arXiv

  5. [12]

    W. Bu, S. Heuveline, and D. Skinner,Moyal deformations, W 1+∞ and celestial holography, JHEP12(2022) 011, [arXiv:2208.13750]

    2022 arXiv

  6. [13]

    A. Kmec, L. Mason, R. Ruzziconi, and A. Yelleshpur Srikant,Celestial Lw 1+∞ charges from a twistor action,JHEP10(2024) 250, [arXiv:2407.04028]

    2024 arXiv

  7. [14]

    Chau, M.-L

    L.-L. Chau, M.-L. Ge, A. Sinha, and Y.-S. Wu,Hidden Symmetry Algebra for the Selfdual Yang-Mills Equation,Phys. Lett. B121(1983) 391–396. – 59 –

    1983

  8. [15]

    Takasaki,A NEW APPROACH TO THE SELFDUAL YANG-MILLS EQUATIONS, Commun

    K. Takasaki,A NEW APPROACH TO THE SELFDUAL YANG-MILLS EQUATIONS, Commun. Math. Phys.94(1984) 35–59

    1984

  9. [16]

    L. J. Mason, S. Chakravarty, and E. T. Newman,Backlund Transformations for the Antiselfdual Yang-Mills Equations,J. Math. Phys.29(1988) 1005–1013

    1988

  10. [17]

    L. J. Mason and N. M. J. Woodhouse,Integrability, selfduality, and twistor theory. Oxford University Press, 1996

    1996

  11. [18]

    Geyer, A

    Y. Geyer, A. E. Lipstein, and L. Mason,Ambitwistor strings at null infinity and (subleading) soft limits,Class. Quant. Grav.32(2015), no. 5 055003, [arXiv:1406.1462]

    2015 arXiv

  12. [19]

    Adamo, W

    T. Adamo, W. Bu, E. Casali, and A. Sharma,Celestial operator products from the worldsheet,JHEP06(2022) 052, [arXiv:2111.02279]

    2022 arXiv

  13. [20]

    Adamo, W

    T. Adamo, W. Bu, E. Casali, and A. Sharma,All-order celestial OPE in the MHV sector, arXiv:2211.17124

    arXiv

  14. [21]

    Bittleston,On the associativity of 1-loop corrections to the celestial operator product in gravity,JHEP01(2023) 018, [arXiv:2211.06417]

    R. Bittleston,On the associativity of 1-loop corrections to the celestial operator product in gravity,JHEP01(2023) 018, [arXiv:2211.06417]

    2023 arXiv

  15. [22]

    Freidel, D

    L. Freidel, D. Pranzetti, and A.-M. Raclariu,Higher spin dynamics in gravity andw 1+∞ celestial symmetries,arXiv:2112.15573

    arXiv

  16. [23]

    Geiller,Celestialw 1+∞ charges and the subleading structure of asymptotically-flat spacetimes,arXiv:2403.05195

    M. Geiller,Celestialw 1+∞ charges and the subleading structure of asymptotically-flat spacetimes,arXiv:2403.05195

    arXiv

  17. [24]

    Cresto and L

    N. Cresto and L. Freidel,Asymptotic Higher Spin Symmetries I: Covariant Wedge Algebra in Gravity,arXiv:2409.12178

    arXiv

  18. [25]

    Cresto and L

    N. Cresto and L. Freidel,Asymptotic Higher Spin Symmetries II: Noether Realization in Gravity,arXiv:2410.15219

  19. [26]

    Miller,SpacetimeLw 1+∞ Symmetry and Self-Dual Gravity in Plebanski Gauge, arXiv:2504.07176

    N. Miller,SpacetimeLw 1+∞ Symmetry and Self-Dual Gravity in Plebanski Gauge, arXiv:2504.07176

    arXiv

  20. [27]

    Ruzziconi and C

    R. Ruzziconi and C. Zwikel,Celestial Symmetries of Black Hole Horizons, arXiv:2504.08027

  21. [28]

    Ashtekar and M

    A. Ashtekar and M. Streubel,Symplectic Geometry of Radiative Modes and Conserved Quantities at Null Infinity,Proc. Roy. Soc. Lond.A376(1981) 585–607

    1981

  22. [29]

    Freidel, D

    L. Freidel, D. Pranzetti, and A.-M. Raclariu,On infinite symmetry algebras in Yang-Mills theory,arXiv:2306.02373

    arXiv

  23. [30]

    Cresto,Asymptotic Higher Spin Symmetries III: Noether Realization in Yang-Mills Theory,arXiv:2501.08856

    N. Cresto,Asymptotic Higher Spin Symmetries III: Noether Realization in Yang-Mills Theory,arXiv:2501.08856

  24. [31]

    Miller,Gravity and Lw1+∞Symmetry

    N. Miller,Gravity and Lw1+∞Symmetry. PhD thesis, Harvard U. (main), 2024

    2024

  25. [32]

    S. Nagy, J. Peraza, and G. Pizzolo,A General Hierarchy of Charges at Null Infinity via the Todd Polynomials,arXiv:2405.06629

    arXiv

  26. [33]

    S. Nagy, J. Peraza, and G. Pizzolo,Infinite-dimensional hierarchy of recursive extensions for all sub n-leading soft effects in Yang-Mills,JHEP12(2024) 068, [arXiv:2407.13556]

    2024 arXiv

  27. [34]

    A. Ball, S. A. Narayanan, J. Salzer, and A. Strominger,Perturbatively exact w 1+∞ asymptotic symmetry of quantum self-dual gravity,JHEP01(2022) 114, [arXiv:2111.10392]

    2022 arXiv

  28. [35]

    Himwich, M

    E. Himwich, M. Pate, and K. Singh,Celestial operator product expansions and w 1+∞ – 60 – symmetry for all spins,JHEP01(2022) 080, [arXiv:2108.07763]

    2022 arXiv

  29. [36]

    J. Mago, L. Ren, A. Y. Srikant, and A. Volovich,Deformedw 1+∞ Algebras in the Celestial CFT,arXiv:2111.11356

    arXiv

  30. [37]

    Hu and S

    Y. Hu and S. Pasterski,Detector operators for celestial symmetries,JHEP12(2023) 035, [arXiv:2307.16801]

    2023 arXiv

  31. [38]

    Mason, R

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

    2024 arXiv

  32. [39]

    Ruzziconi and A

    R. Ruzziconi and A. Saha,Holographic Carrollian currents for massless scattering,JHEP01 (2025) 169, [arXiv:2411.04902]

    2025 arXiv

  33. [40]

    Costello and D

    K. Costello and D. Gaiotto,Twisted Holography,arXiv:1812.09257

    arXiv

  34. [41]

    Costello and N

    K. Costello and N. M. Paquette,Associativity of One-Loop Corrections to the Celestial Operator Product Expansion,Phys. Rev. Lett.129(2022), no. 23 231604, [arXiv:2204.05301]

    2022 arXiv

  35. [43]

    B. D. Bramson,Physics in Cone Space, inSymposium on Asymptotic Structure of Space-Time, 1977

    1977

  36. [44]

    Pasterski,A Shorter Path to Celestial Currents,arXiv:2201.06805

    S. Pasterski,A Shorter Path to Celestial Currents,arXiv:2201.06805

    arXiv

  37. [45]

    Freidel, D

    L. Freidel, D. Pranzetti, and A.-M. Raclariu,A discrete basis for celestial holography,JHEP 02(2024) 176, [arXiv:2212.12469]

    2024 arXiv

  38. [46]

    Adamo,Lectures on twistor theory,PoSModave2017(2018) 003, [arXiv:1712.02196]

    T. Adamo,Lectures on twistor theory,PoSModave2017(2018) 003, [arXiv:1712.02196]

    2018 arXiv

  39. [47]

    P. A. M. Dirac,Wave equations in conformal space,Annals Math.37(1936) 429–442

    1936

  40. [48]

    Iyer and R

    V. Iyer and R. M. Wald,Some properties of Noether charge and a proposal for dynamical black hole entropy,Phys. Rev. D50(1994) 846–864, [gr-qc/9403028]

    1994 arXiv

  41. [49]

    Barnich and F

    G. Barnich and F. Brandt,Covariant theory of asymptotic symmetries, conservation laws and central charges,Nucl. Phys.B633(2002) 3–82, [hep-th/0111246]

    2002 arXiv

  42. [50]

    Barnich and C

    G. Barnich and C. Troessaert,BMS charge algebra,JHEP12(2011) 105, [arXiv:1106.0213]

    2011 arXiv

  43. [51]

    Barnich and C

    G. Barnich and C. Troessaert,Aspects of the BMS/CFT correspondence,JHEP05(2010) 062, [arXiv:1001.1541]

    2010 arXiv

  44. [52]

    Barnich,Centrally extended BMS4 Lie algebroid,JHEP06(2017) 007, [arXiv:1703.08704]

    G. Barnich,Centrally extended BMS4 Lie algebroid,JHEP06(2017) 007, [arXiv:1703.08704]

    2017 arXiv

  45. [53]

    Baulieu and T

    L. Baulieu and T. Wetzstein,BRST BMS4 symmetry and its cocycles from horizontality conditions,JHEP07(2023) 130, [arXiv:2304.12369]

    2023 arXiv

  46. [54]

    Adami, M

    H. Adami, M. M. Sheikh-Jabbari, V. Taghiloo, H. Yavartanoo, and C. Zwikel,Symmetries at null boundaries: two and three dimensional gravity cases,JHEP10(2020) 107, [arXiv:2007.12759]

    2020 arXiv

  47. [55]

    Barnich, P

    G. Barnich, P. Mao, and R. Ruzziconi,BMS current algebra in the context of the Newman–Penrose formalism,Class. Quant. Grav.37(2020), no. 9 095010, [arXiv:1910.14588]

    2020 arXiv

  48. [56]

    Ruzziconi and C

    R. Ruzziconi and C. Zwikel,Conservation and Integrability in Lower-Dimensional Gravity, – 61 – JHEP04(2021) 034, [arXiv:2012.03961]

    2021 arXiv

  49. [57]

    Adami, D

    H. Adami, D. Grumiller, M. M. Sheikh-Jabbari, V. Taghiloo, H. Yavartanoo, and C. Zwikel, Null boundary phase space: slicings, news & memory,JHEP11(2021) 155, [arXiv:2110.04218]

    2021 arXiv

  50. [58]

    Geiller, C

    M. Geiller, C. Goeller, and C. Zwikel,3d gravity in Bondi-Weyl gauge: charges, corners, and integrability,JHEP09(2021) 029, [arXiv:2107.01073]

    2021 arXiv

  51. [59]

    Grumiller, R

    D. Grumiller, R. Ruzziconi, and C. Zwikel,One-loop partition function of gravity with leaky boundary conditions,JHEP02(2024) 080, [arXiv:2312.06744]

    2024 arXiv

  52. [60]

    Fiorucci, J

    A. Fiorucci, J. Matulich, and R. Ruzziconi,Superrotations at spacelike infinity,Phys. Rev. D 110(2024), no. 6 L061502, [arXiv:2404.02197]

    2024 arXiv

  53. [61]

    Freidel, D

    L. Freidel, D. Pranzetti, and A.-M. Raclariu,Sub-subleading Soft Graviton Theorem from Asymptotic Einstein ’s Equations,arXiv:2111.15607

    arXiv

  54. [62]

    Cresto and L

    N. Cresto and L. Freidel,Asymptotic Higher Spin Symmetries IV: Einstein-Yang-Mills Theory,arXiv:2505.04327

  55. [63]

    Tod,The good cut equation revisited, inFurther advances in twistor theory

    P. Tod,The good cut equation revisited, inFurther advances in twistor theory. Vol. III: Curved twistor spaces(L. J. Mason, L. P. Hughston, P. Z. Kobak, and K. Pulverer, eds.), pp. 9–14. 1979

    1979

  56. [64]

    C. N. Yang,Condition of Self-Duality for SU(2) Gauge Fields on Euclidean Four-Dimensional Space,Phys. Rev. Lett.38(1977) 1377

    1977

  57. [65]

    Leznov and M

    A. Leznov and M. Mukhtarov,Deformation of algebras and solution of self-duality equation, Journal of mathematical physics28(1987), no. 11 2574–2578

    1987

  58. [66]

    A. N. Leznov,Equivalence of four-dimensional self-duality equations and the continuum analog of the principal chiral field problem,Theoretical and Mathematical Physics73(1987), no. 2 1233–1237

    1987

  59. [67]

    Parkes,A cubic action for self-dual Yang-Mills,Physics Letters B286(1992), no

    A. Parkes,A cubic action for self-dual Yang-Mills,Physics Letters B286(1992), no. 3-4 265–270

    1992

  60. [68]

    Chalmers and W

    G. Chalmers and W. Siegel,The self-dual sector of QCD amplitudes,Phys. Rev. D54(1996) 7628–7633, [hep-th/9606061]

    1996 arXiv

  61. [69]

    E. T. Newman and R. Penrose,New conservation laws for zero rest-mass fields in asymptotically flat space-time,Proc. Roy. Soc. Lond. A305(1968) 175–204

    1968

  62. [70]

    Donnay, A

    L. Donnay, A. Fiorucci, Y. Herfray, and R. Ruzziconi,Carrollian Perspective on Celestial Holography,Phys. Rev. Lett.129(2022), no. 7 071602, [arXiv:2202.04702]

    2022 arXiv

  63. [71]

    Donnay, A

    L. Donnay, A. Fiorucci, Y. Herfray, and R. Ruzziconi,Bridging Carrollian and celestial holography,Phys. Rev. D107(2023), no. 12 126027, [arXiv:2212.12553]

    2023 arXiv

  64. [72]

    Costello and N

    K. Costello and N. M. Paquette,Twisted Supergravity and Koszul Duality: A case study in AdS3,Commun. Math. Phys.384(2021), no. 1 279–339, [arXiv:2001.02177]

    2021 arXiv

  65. [73]

    N. M. Paquette and B. R. Williams,Koszul duality in quantum field theory.,Confluentes Math.14(2023), no. 2 87–138, [arXiv:2110.10257]

    2023 arXiv

  66. [74]

    L. J. Mason,Twistor actions for non-self-dual fields: A Derivation of twistor-string theory, JHEP10(2005) 009, [hep-th/0507269]

    2005 arXiv

  67. [75]

    Harlow and D

    D. Harlow and D. Stanford,Operator Dictionaries and Wave Functions in AdS/CFT and – 62 – dS/CFT,arXiv:1104.2621

    arXiv

  68. [76]

    Bu and E

    W. Bu and E. Casali,The 4d/2d correspondence in twistor space and holomorphic Wilson lines,JHEP11(2022) 076, [arXiv:2208.06334]

    2022 arXiv

  69. [77]

    K. J. Costello,Quantizing local holomorphic field theories on twistor space, arXiv:2111.08879

    arXiv

  70. [78]

    K. J. Costello,Bootstrapping two-loop QCD amplitudes,arXiv:2302.00770

    arXiv

  71. [79]

    V. E. Fern´ andez and N. M. Paquette,Associativity is enough: an all-orders 2d chiral algebra for 4d form factors,arXiv:2412.17168

    arXiv

  72. [80]

    L. J. Dixon and A. Morales,On gauge amplitudes first appearing at two loops,JHEP08 (2024) 129, [arXiv:2407.13967]

    2024 arXiv

  73. [81]

    L. J. Dixon and A. Morales,Rational QCD loop amplitudes and quantum theories on twistor space,JHEP03(2025) 188, [arXiv:2411.10967]

    2025 arXiv

  74. [82]

    Agrawal, P

    S. Agrawal, P. Charalambous, and L. Donnay,Celestial sw 1+∞ algebra in Einstein-Yang-Mills theory,JHEP03(2025) 208, [arXiv:2412.01647]

    2025 arXiv

  75. [83]

    Bittleston, D

    R. Bittleston, D. Skinner, and A. Sharma,Quantizing the Non-linear Graviton,Commun. Math. Phys.403(2023), no. 3 1543–1609, [arXiv:2208.12701]

    2023 arXiv

  76. [84]

    Bittleston, S

    R. Bittleston, S. Heuveline, and D. Skinner,The celestial chiral algebra of self-dual gravity on Eguchi-Hanson space,JHEP09(2023) 008, [arXiv:2305.09451]

    2023 arXiv

  77. [85]

    Casali,Soft sub-leading divergences in Yang-Mills amplitudes,JHEP08(2014) 077, [arXiv:1404.5551]

    E. Casali,Soft sub-leading divergences in Yang-Mills amplitudes,JHEP08(2014) 077, [arXiv:1404.5551]. – 63 –

    2014 arXiv

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