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54
(Super)twistors and (super)strings
"... The Lagrangian formulation of the D = 4 bosonic string and superstring in terms of the (super)twistors is considered. The (super)twistor form of the equations of motion is derived and the κ−symmetry transformation for the supertwistors is given. It is shown that the covariant κ−symmetry gauge fixati ..."
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fixation results in the action quadratic in the (super)twistor variables.
On twistor solutions of the dKP equation
"... The factorization problem for the group of canonical transformations close to the identity and the corresponding twistor equations for an ample family of canonical variables are considered. A method to deal with these reductions is developed for the construction classes of nontrivial solutions of th ..."
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Cited by 4 (1 self)
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The factorization problem for the group of canonical transformations close to the identity and the corresponding twistor equations for an ample family of canonical variables are considered. A method to deal with these reductions is developed for the construction classes of nontrivial solutions
An Alternative String Theory in Twistor Space for N=4 SuperYangMills,” arXiv:hepth/0402045
"... In this letter, an alternative string theory in twistor space is proposed for describing perturbative N=4 superYangMills theory. Like the recent proposal of Witten, this string theory uses twistor worldsheet variables and has manifest spacetime superconformal invariance. However, in this proposal, ..."
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Cited by 99 (3 self)
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In this letter, an alternative string theory in twistor space is proposed for describing perturbative N=4 superYangMills theory. Like the recent proposal of Witten, this string theory uses twistor worldsheet variables and has manifest spacetime superconformal invariance. However, in this proposal
Extended Phase Spaces and Twistor Theory
"... A commuting Minkowski position variable in the twotwistor phase space is found, providing a link between twistor phase spaces and the extended phase spaces for an elementary spinning particle, as defined in [1]. The twotwistor phase space is shown to be the product of three symplectic manifolds: t ..."
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A commuting Minkowski position variable in the twotwistor phase space is found, providing a link between twistor phase spaces and the extended phase spaces for an elementary spinning particle, as defined in [1]. The twotwistor phase space is shown to be the product of three symplectic manifolds
E7 as D = 10 spacetime symmetry — Origin of the twistor transform
, 1992
"... Massless particle dynamics in D = 10 Minkowski space is given an E7covariant formulation, including both spacetime and twistor variables. E7 contains the conformal algebra as a subalgebra. Analogous constructions apply to D = 3, 4 and 6. Submitted to Physics Letters BIt is well known that massless ..."
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Massless particle dynamics in D = 10 Minkowski space is given an E7covariant formulation, including both spacetime and twistor variables. E7 contains the conformal algebra as a subalgebra. Analogous constructions apply to D = 3, 4 and 6. Submitted to Physics Letters BIt is well known
E 7 as D = 10 spacetime symmetry  Origin of the twistor transform
, 1992
"... Massless particle dynamics in D = 10 Minkowski space is given an E 7 covariant formulation, including both spacetime and twistor variables. E 7 contains the conformal algebra as a subalgebra. Analogous constructions apply to D = 3; 4 and 6. Submitted to Physics Letters B It is well known that mas ..."
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Massless particle dynamics in D = 10 Minkowski space is given an E 7 covariant formulation, including both spacetime and twistor variables. E 7 contains the conformal algebra as a subalgebra. Analogous constructions apply to D = 3; 4 and 6. Submitted to Physics Letters B It is well known
Gluon Tree Amplitudes in Open Twistor String Theory
, 909
"... We show how the link variables of ArkaniHamed, Cachazo, Cheung and Kaplan (ACCK), can be used to compute general gluon tree amplitudes in the twistor string. They arise from instanton sectors labelled by d, with d = n − 1, where n is the number of negative helicities. Read backwards, this shows how ..."
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Cited by 8 (3 self)
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We show how the link variables of ArkaniHamed, Cachazo, Cheung and Kaplan (ACCK), can be used to compute general gluon tree amplitudes in the twistor string. They arise from instanton sectors labelled by d, with d = n − 1, where n is the number of negative helicities. Read backwards, this shows
Twistor transforms of quaternionic functions and orthogonal complex structures
, 2013
"... The theory of sliceregular functions of a quaternion variable is applied to the study of orthogonal complex structures on domains Ω of R4. When Ω is a symmetric slice domain, the twistor transform of such a function is a holomorphic curve in the Klein quadric. The case in which Ω is the complement ..."
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Cited by 4 (2 self)
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The theory of sliceregular functions of a quaternion variable is applied to the study of orthogonal complex structures on domains Ω of R4. When Ω is a symmetric slice domain, the twistor transform of such a function is a holomorphic curve in the Klein quadric. The case in which Ω is the complement
Twistor–like Formulation of the Supermembrane in D=11 ∗
, 1993
"... Abstract. We propose a new formulation of the D=11 supermembrane theory that involves commuting spinors (twistor–like variables) and exhibits a manifest n–extended world volume supersymmetry (1 ≤ n ≤ 8). This supersymmetry replaces n components of the usual κ–symmetry. We show that this formulation ..."
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Cited by 2 (0 self)
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Abstract. We propose a new formulation of the D=11 supermembrane theory that involves commuting spinors (twistor–like variables) and exhibits a manifest n–extended world volume supersymmetry (1 ≤ n ≤ 8). This supersymmetry replaces n components of the usual κ–symmetry. We show that this formulation
Twistors, special relativity, conformal symmetry and minimal coupling
"... An approach to special relativistic dynamics using the language of spinors and twistors is presented. Exploiting the natural conformally invariant symplectic structure of the twistor space, a model is constructed which describes a relativistic massive, spinning and charged particle, minimally couple ..."
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Cited by 2 (2 self)
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An approach to special relativistic dynamics using the language of spinors and twistors is presented. Exploiting the natural conformally invariant symplectic structure of the twistor space, a model is constructed which describes a relativistic massive, spinning and charged particle, minimally
Results 1  10
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54