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Celestial w1+∞ Symmetries from Twistor Space [PDF]
. 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.
T. Adamo, L. Mason, A. Sharma
semanticscholar +1 more source
Twistor Theory of the Airy Equation [PDF]
We demonstrate how the complex integral formula for the Airy functions arises from Penrose's twistor contour integral formula. We then use the Lax formulation of the isomonodromy problem with one irregular singularity of order four to show that the Airy equation arises from the anti-self-duality equations for conformal structures of neutral signature ...
Cole, M., Dunajski, M.
openaire +4 more sources
Twistor coverings and Feynman diagrams
Recently, a worldsheet dual to free N $$ \mathcal{N} $$ = 4 Super Yang-Mills has been proposed in terms of twistor variables for AdS5, in parallel to that for the AdS3 dual to the free symmetric orbifold CFT. In the latter case, holomorphic covering maps
Faizan Bhat +3 more
doaj +1 more source
A twistorial description of the IKKT-matrix model
We consider the fuzzy 4-sphere S N 4 $$ {S}_N^4 $$ as a background in the IKKT matrix model, and explore the relation between S N 4 $$ {S}_N^4 $$ and fuzzy twistor space in the semi-classical limit.
Harold C. Steinacker, Tung Tran
doaj +1 more source
Twistors, the ASD Yang-Mills equations and 4d Chern-Simons theory
We show that the approaches to integrable systems via 4d Chern-Simons theory and via symmetry reductions of the anti-self-dual Yang-Mills equations are closely related, at least classically.
Roland Bittleston, David Skinner
doaj +1 more source
Conformal higher spin theory and twistor space actions [PDF]
We consider the twistor description of conformal higher spin theories and give twistor space actions for the self-dual sector of theories with spin greater than two that produce the correct flat space-time spectrum.
Philipp Haehnel, Tristan McLoughlin
semanticscholar +1 more source
A Deformation of Twistor Space and a Chiral Mass Term in N=4 Super Yang-Mills Theory [PDF]
Super twistor space admits a certain (super) complex structure deformation that preserves the Poincare subgroup of the symmetry group PSL(4|4) and depends on 10 parameters.
A.D. Popov +33 more
core +1 more source
TWISTOR THEORY FOR EXCEPTIONAL HOLONOMY [PDF]
8 pages, Preprint IMAR ...
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Mini-twistors and the Cotton double copy
The double copy relates quantities in gauge, gravity and related theories. A well-known procedure for relating exact classical solutions is the Weyl double copy in four spacetime dimensions, and a three-dimensional analogue of this — the Cotton double ...
Mariana Carrillo González +4 more
doaj +1 more source

