Results 1 to 10 of about 6,179,788 (353)
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 ...
Atiyah M, Dunajski M, Mason LJ.
europepmc +7 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 +11 more
core +6 more sources
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 +14 more
core +3 more sources
Lectures on twistor theory [PDF]
Proceedings of XIII Modave Summer School in Mathematical Physics — PoS(Modave2017), 2017 Broadly speaking, twistor theory is a framework for encoding physical information on space-time as geometric data on a complex projective space, known as a twistor space.
T. Adamo
semanticscholar +5 more sources
Composite Operators in the Twistor Formulation of $\mathcal{N}=4$ SYM Theory [PDF]
Physical Review Letters, 2016 We incorporate gauge-invariant local composite operators into the twistor-space formulation of $\mathcal{N}=4$ Super Yang-Mills theory. In this formulation, the interactions of the elementary fields are reorganized into infinitely many interaction ...
Koster, Laura +3 more
core +2 more sources
Non-Relativistic Twistor Theory and Newton–Cartan Geometry [PDF]
Communications in Mathematical Physics, 2016 We develop a non–relativistic twistor theory, in which Newton–Cartan structures of Newtonian gravity correspond to complex three–manifolds with a four–parameter family of rational curves with normal bundle O⊕O(2)\documentclass[12pt]{minimal} \usepackage ...
M. Dunajski, James Gundry
semanticscholar +2 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 +2 more
doaj +1 more source
Twistor coverings and Feynman diagrams
Journal of High Energy Physics, 2022 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