Celestial w1+∞ Symmetries from Twistor Space

@article{Adamo2022CelestialWS,
  title={Celestial w1+∞ Symmetries from Twistor Space},
  author={Tim Adamo and Lionel Mason and Atul Sharma},
  journal={Symmetry, Integrability and Geometry: Methods and Applications},
  year={2022}
}
. We explain how twistor theory represents the self-dual sector of four dimensional gravity in terms of the loop group of Poisson diffeomorphisms of the plane via Penrose’s nonlinear graviton construction. The symmetries of the self-dual sector are generated by the corresponding loop algebra Lw 1+ ∞ of the algebra w 1+ ∞ of these Poisson diffeomorphisms. We show that these coincide with the infinite tower of soft graviton symmetries in tree-level perturbative gravity recently discovered in the… 

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References

SHOWING 1-10 OF 98 REFERENCES
Celestial operator product expansions and w1+∞ symmetry for all spins
The operator product expansion of massless celestial primary operators of arbitrary spin is investigated. Poincaré symmetry is found to imply a set of recursion relations on the operator product
Celestial operator products from the worldsheet
We compute the operator product expansions of gluons and gravitons in celestial CFT from the worldsheet OPE of vertex operators of four-dimensional ambitwistor string theories. Remarkably, the
Gravity, Twistors and the MHV Formalism
We give a self-contained proof of the formula for the MHV amplitudes for gravity conjectured by Berends, Giele & Kuijf and use the associated twistor generating function to define a twistor action
Twistor-strings and gravity tree amplitudes
Recently we discussed how Einstein supergravity tree amplitudes might be obtained from the original Witten and Berkovits twistor-string theory when external conformal gravitons are restricted to be
Twistor sigma models for quaternionic geometry and graviton scattering
We reformulate the twistor construction for hyperand quaternion-Kähler manifolds, introducing new sigma models that compute scalar potentials for the geometry. These sigma models have the twistor
Hyper-Kähler Hierarchies and Their Twistor Theory
Abstract: A twistor construction of the hierarchy associated with the hyper-Kähler equations on a metric (the anti-self-dual Einstein vacuum equations, ASDVE, in four dimensions) is given. The
Ambitwistor strings at null infinity and (subleading) soft limits
The relationship between BMS symmetries at null infinity and Weinberg's soft theorems for gravitons and photons together with their subleading extensions are developed using ambitwistor string
Perturbative gauge theory at null infinity
We describe a theory living on the null conformal boundary I of four- dimensional Minkowski space, whose states include the radiative modes of Yang-Mills the- ory. The action of a Kac-Moody symmetry
Celestial amplitudes and conformal soft theorems
Scattering amplitudes in $d+2$ dimensions can be expressed in terms of a conformal basis, for which the S-matrix behaves as a CFT correlation function on the celestial $d$-sphere. We explain how
Ambitwistor strings in four dimensions.
TLDR
Ambitwistor string theories for four dimensions are developed to obtain new formulas for tree-level gauge and gravity amplitudes with arbitrary amounts of supersymmetry, and the resulting formulas for amplitudes are simpler, having substantially reduced moduli.
...
1
2
3
4
5
...