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Lectures on twistor theory [PDF]
Proceedings of XIII Modave Summer School in Mathematical Physics — PoS(Modave2017), 2018 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. The relationship between space-time and twistor space is non-local and has some surprising consequences, which we explore in these lectures.
T. Adamo
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Palatial twistor theory and the twistor googly problem [PDF]
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2015 A key obstruction to the twistor programme has been its so-called ‘googly problem’, unresolved for nearly 40 years, which asks for a twistor description ofright-handed interacting massless fields (positive helicity), using the same twistor conventions that give rise toleft-handed fields (negative helicity) in the standard ‘nonlinear graviton’ and Ward ...
R. Penrose
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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
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Quantisation of Twistor Theory by Cocycle Twist [PDF]
Communications in Mathematical Physics, 2008 We present the main ingredients of twistor theory leading up to and including the Penrose-Ward transform in a coordinate algebra form which we can then `quantise' by means of a functorial cocycle twist. The quantum algebras for the conformal group, twistor space CP^3, compactified Minkowski space CMh and the twistor correspondence space are obtained ...
Simon Brain, Shahn Majid
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Real methods in twistor theory
Classical and Quantum Gravity, 1985 This paper is a self-contained account of an approach to Penrose's twistor theory based on real methods and Dolbeault cohomology. Topics covered include the Penrose transform for linear fields in self-dual spaces and for Yang-Mills fields, propagation from Cauchy data, and the twistor transform.
N. Woodhouse
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Twistor theory of manifolds with Grassmannian structures [PDF]
Nagoya Mathematical Journal, 2000 AbstractAs a generalization of the conformal structure of type (2, 2), we study Grassmannian structures of type (n, m) forn, m≥ 2. We develop their twistor theory by considering the complete integrability of the associated null distributions. The integrability corresponds to global solutions of the geometric structures.A Grassmannian structure of type (
Machida, Yoshinori, Sato, Hajime
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, 2017 In twistor theory the nonlinear graviton construction realises four-dimensional antiself- dual Einstein manifolds as Kodaira moduli spaces of rational curves in threedimensional complex manifolds. We establish a Newtonian analogue of this procedure, in which four-dimensional Newton-Cartan manifolds arise as Kodaira moduli spaces of rational curves with
James Gundry
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Asymptotic twistor theory and the Kerr theorem [PDF]
Classical and Quantum Gravity, 2006 We first review asymptotic twistor theory with its real subspace of null asymptotic twistors. This is followed by a description of an asymptotic version of the Kerr theorem that produces regular asymptotically shear free null geodesic congruences in arbitrary asymptotically flat Einstein or Einstein-Maxwell spacetimes.
E. Newman
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Self-dual supergravity and twistor theory [PDF]
Classical and Quantum Gravity, 2007 By generalizing and extending some of the earlier results derived by Manin and Merkulov, a twistor description is given of four-dimensional N-extended (gauged) self-dual supergravity with and without cosmological constant. Starting from the category of (4|4N)-dimensional complex superconformal supermanifolds, the categories of (4|2N)-dimensional ...
Martin Wolf
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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
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