scholarly journals Two-twistor description of a membrane

2007 ◽  
Vol 76 (6) ◽  
Author(s):  
Sergey Fedoruk ◽  
Jerzy Lukierski
Keyword(s):  
Twistor Description

scholarly journals Single twistor description of massless, massive, AdS, and other interacting particles

2006 ◽  
Vol 73 (6) ◽  
Author(s):  
Itzhak Bars ◽  
Moises Picón
Keyword(s):  
Interacting Particles ◽  
Twistor Description

A twistor description of harmonic maps of a 2-sphere into a Grassmannian

1986 ◽  
Vol 274 (1) ◽  
pp. 61-74 ◽  
Author(s):  
F. E. Burstall
Keyword(s):  
Harmonic Maps ◽  
Twistor Description

Twistor description of world surfaces and the action integral of strings

JETP Letters ◽  
1996 ◽  
Vol 64 (7) ◽  
pp. 487-494 ◽  
Author(s):  
O. E. Gusev ◽  
A. A. Zheltukhin
Keyword(s):  
Action Integral ◽  
Twistor Description

On the twistor description of massive fields

1981 ◽  
Vol 374 (1758) ◽  
pp. 431-445 ◽  
Keyword(s):  
Minkowski Space ◽  
Complex Manifold ◽  
Twistor Space ◽  
Spin Operator ◽  
Dirac Equations ◽  
Penrose Transform ◽  
Twistor Description ◽  
Integral Formulae ◽  
Massless Fields ◽  
Massive Fields

This paper forms a part of the twistor programme whereby constructions of physics on Minkowski space are transferred, it is hoped, to simpler constructions on Penrose’s twistor-space . We show how the Penrose transform may be used to describe solutions of the Dirac equations on Minkowski space in terms of certain cohomology classes on a related five-dimensional complex manifold. This is accomplished along the same lines as the corresponding representation of massless fields. It means that Penrose’s integral formulae for massive fields may be interpreted cohomologically. We also give a brief discussion of the spin operator in twistor space.

scholarly journals Palatial twistor theory and the twistor googly problem

2015 ◽  
Vol 373 (2047) ◽  
pp. 20140237 ◽  
Author(s):  
Roger Penrose
Keyword(s):  
Holomorphic Functions ◽  
Heisenberg Algebra ◽  
Twistor Theory ◽  
Negative Helicity ◽  
Nonlinear Graviton ◽  
Twistor Description ◽  
Massless Fields

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 of right -handed interacting massless fields (positive helicity), using the same twistor conventions that give rise to left -handed fields (negative helicity) in the standard ‘nonlinear graviton’ and Ward constructions. An explicit proposal for resolving this obstruction— palatial twistor theory —is put forward (illustrated in the case of gravitation). This incorporates the concept of a non-commutative holomorphic quantized twistor ‘Heisenberg algebra’, extending the sheaves of holomorphic functions of conventional twistor theory to include the operators of twistor differentiation.

scholarly journals A pure spinor twistor description of the D = 10 superparticle

2020 ◽  
Vol 2020 (8) ◽  
Author(s):  
Diego García Sepúlveda ◽  
Max Guillen
Keyword(s):  
Pure Spinor ◽  
Yang Mills ◽  
Twistor Description ◽  
Field Redefinition

Abstract We present a novel twistor formulation of the ten-dimensional massless super-particle. This formulation is based on the introduction of pure spinor variables through a field redefinition of another model for the superparticle, and in the new description we find that the super-Pauli-Lubanski three-form naturally arises as a constraint. Quantization is studied in detail for both models and they are shown to correctly describe the D = 10 super-Yang-Mills states.

Twistor Description of Classical Zero Mass Fields

1986 ◽  
pp. 47-57
Author(s):  
Ivan T. Todorov
Keyword(s):  
Zero Mass ◽  
Twistor Description

Twistor description of classical Yang-Mills-Dirac fields

1980 ◽  
Vol 95 (3-4) ◽  
pp. 405-408 ◽  
Author(s):  
G.M. Henkin ◽  
Yu.I. Manin
Keyword(s):  
Yang Mills ◽  
Dirac Fields ◽  
Twistor Description

scholarly journals A no-go theorem for then-twistor description of a massive particle

2017 ◽  
Vol 58 (3) ◽  
pp. 031701 ◽  
Author(s):  
Satoshi Okano ◽  
Shinichi Deguchi
Keyword(s):  
Massive Particle ◽  
Twistor Description
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