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Twistor theory at fifty: from contour integrals to twistor strings. [PDF]

Proc Math Phys Eng Sci, 2017
We review aspects of twistor theory, its aims and achievements spanning the last five decades. In the twistor approach, space–time is secondary with events being derived objects that correspond to compact holomorphic curves in a complex threefold—the twistor space.
Atiyah M, Dunajski M, Mason LJ.
europepmc   +8 more sources

Twistor Theory and Differential Equations [PDF]

Journal of Physics A: Mathematical and Theoretical, 2009
This is an elementary and self--contained review of twistor theory as a geometric tool for solving non-linear differential equations. Solutions to soliton equations like KdV, Tzitzeica, integrable chiral model, BPS monopole or Sine-Gordon arise from ...
Dunajski M, Dunajski M, Dunajski M Plansangkate P, Gindikin S G, Helgason S, Konopelchenko B G, Maciej Dunajski, Mason L J, Penrose R, Radon J, Ward R S, Ward R S   +11 more
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Twistor theory on a finite graph [PDF]

Communications in Mathematical Physics, 2010
We show how the description of a shear-free ray congruence in Minkowski space as an evolving family of semi-conformal mappings can naturally be formulated on a finite graph. For this, we introduce the notion of holomorphic function on a graph.
A.C.M. van Rooij, C. Rovelli, H. Urakawa, H. Whitney, I. Vaisman, M. Baker, M.G. Eastwood, Mohammad Wehbe, P. Baird, P. Baird, Paul Baird, R. Penrose, R. Penrose, S. Gnutzman, S. Huggett   +14 more
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Conformal Supergravity in Twistor-String Theory [PDF]

Journal of High Energy Physics, 2004
Conformal supergravity arises in presently known formulations of twistor-string theory either via closed strings or via gauge-singlet open strings. We explore this sector of twistor-string theory, relating the relevant string modes to the particles and ...
A. Neitzke, D.M. Capper, E. Witten, E. Witten, E. Witten, E.S. Fradkin, Edward Witten, F. Cachazo, I.B. Frenkel, M. Aganagic, M.F. Atiyah, N. Berkovits, Nathan Berkovits, R. Penrose, R. Penrose, R. Roiban, S. Gukov, V. G. Knizhnik, W. Siegel   +18 more
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Twistor theory of symplectic manifolds [PDF]

Journal of Geometry and Physics, 2005
This article is a contribution to the understanding of the geometry of the twistor space of a symplectic manifold. We consider the bundle $Z$ with fibre the Siegel domain Sp(2n,R)/U(n) existing over any given symplectic 2n-manifold M.
Andreotti, Atiyah, Atiyah, Bourgeois, Cahen, Hitchin, J. Rawnsley, Kobayashi, McDuff, Nannicini, Nannicini, O’Brian, R. Albuquerque, Rawnsley, Vaisman, Vaisman, Wu   +16 more
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Beta-deformation in twistor-string theory

Journal of High Energy Physics
In this work, we investigate how the marginal beta deformation of the N $$ \mathcal{N} $$ = 4 super-Yang-Mills theory manifests within the context of the topological B-model in the twistor space CP 3 4 $$ {\mathbbm{CP}}^{\left.3\right|4} $$ . We begin by
Eggon Viana
doaj   +3 more sources

Spacetime foam in twistor string theory [PDF]

Advances in Theoretical and Mathematical Physics, 2004
36 pages, 5 figures.
Sean A. Hartnoll, Giuseppe Policastro
openalex   +6 more sources

Twistor Actions for Integrable Systems

Journal of High Energy Physics, 2021
Many integrable systems can be reformulated as holomorphic vector bundles on twistor space. This is a powerful organizing principle in the theory of integrable systems.
Robert F. Penna
doaj   +1 more source

Twistor constructions for higher-spin extensions of (self-dual) Yang-Mills

Journal of High Energy Physics, 2021
We present the inverse Penrose transform (the map from spacetime to twistor space) for self-dual Yang-Mills (SDYM) and its higher-spin extensions on a flat background.
Tung Tran
doaj   +1 more source

Alternative formulations of the twistor double copy

Journal of High Energy Physics, 2022
The classical double copy relating exact solutions of biadjoint scalar, gauge and gravity theories continues to receive widespread attention. Recently, a derivation of the exact classical double copy was presented, using ideas from twistor theory, in ...
Erick Chacón, Silvia Nagy, Chris D. White   +2 more
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