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Physical Review D, 2005 We elucidate the one-loop twistor-space structure corresponding to momentum-space MHV diagrams. We also discuss the infrared divergences, and argue that only a limited set of MHV diagrams contain them. We show how to introduce a twistor-space regulator corresponding to dimensional regularization for the infrared-divergent diagrams.
Bena, Iosif +3 more
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Twistor Space for Rolling Bodies [PDF]
Communications in Mathematical Physics, 2013 On a natural circle bundle T(M) over a 4-dimensional manifold M equipped with a split signature metric g, whose fibers are real totally null selfdual 2-planes, we consider a tautological rank 2 distribution D obtained by lifting each totally null plane horizontally to its point in the fiber.
An, Daniel, Nurowski, Paweł
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Rocky Mountain Journal of Mathematics, 2005 LaTeX, 22 pages, to appear in Rocky Mountain J ...
Blair, D.E., Davidov, J., Mus˘karov, O.
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Twistor Spaces for QKT Manifolds [PDF]
Communications in Mathematical Physics, 1998 We find that the target space of two-dimensional (4,0) supersymmetric sigma models with torsion coupled to (4,0) supergravity is a QKT manifold, that is, a quaternionic Kähler manifold with torsion. We give four examples of geodesically complete QKT manifolds one of which is a generalisation of the LeBrun geometry.
Howe, P. S. +2 more
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Complex Multiplication in Twistor Spaces [PDF]
International Mathematics Research Notices, 2020 AbstractDespite the transcendental nature of the twistor construction, the algebraic fibres of the twistor space of a K3 surface share certain arithmetic properties. We prove that for a polarised K3 surface with complex multiplication, all algebraic fibres of its twistor space away from the equator have complex multiplication as well.
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The S-matrix in twistor space [PDF]
Journal of High Energy Physics, 2010 V1: 46 pages + 23 figures. Less telegraphic abstract in the body of the paper. V2: 49 pages + 24 figures. Largely expanded set of references included.
Arkani-Hamed, N. +3 more
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Twistor space, Minkowski space and the conformal group [PDF]
, 1983 It is shown that the conformal group of compactified Minkowski space is isomorphic to a group of rays of semilinear transformations of twistor space.
van den Broek, P.M.
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International Journal of Mathematics and Mathematical Sciences, 1986 We describe briefly the basic ideas and results of the twistor theory. The main points: twistor representation of Minkowsky space, Penrose correspondence and its geometrical properties, twistor interpretation of linear massless fields, Yang-Mills fields (
A. G. Sergeev
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The momentum amplituhedron of SYM and ABJM from twistor-string maps
Journal of High Energy Physics, 2022 We study remarkable connections between twistor-string formulas for tree amplitudes in N $$ \mathcal{N} $$ = 4 SYM and N $$ \mathcal{N} $$ = 6 ABJM, and the corresponding momentum amplituhedron in the kinematic space of D = 4 and D = 3, respectively ...
Song He, Chia-Kai Kuo, Yao-Qi Zhang
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Twistor spaces for hyperkähler implosions
Journal of Differential Geometry, 2014 We study the geometry of the twistor space of the universal hyperkaehler implosion Q for SU(n). Using the description of Q as a hyperkaehler quiver variety, we construct a holomorphic map from the twistor space Z_Q of Q to a complex vector bundle over P^1, and an associated map of Q to the affine space R of the bundle's holomorphic sections.
Dancer, Andrew +2 more
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