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Noncommutative instantons and twistor transform
 Commun. Math. Phys
"... Recently N. Nekrasov and A. Schwarz proposed a modification of the ADHM construction of instantons which produces instantons on a noncommutative deformation of R4. In this paper we study the relation between their construction and algebraic bundles on noncommutative projective spaces. We exhibit one ..."
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Cited by 54 (4 self)
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onetoone correspondences between three classes of objects: framed bundles on a noncommutative P2, certain complexes of sheaves on a noncommutative P3, and the modified ADHM data. The modified ADHM construction itself is interpreted in terms of a noncommutative version of the twistor transform. We
The Twistor Transform of a Verlinde formula
, 1995
"... Let Σ be a compact Riemann surface of genus g. The moduli space Mg = Mg(2, 1) of stable rank 2 holomorphic bundles over Σ with fixed determinant bundle of degree 1 is a smooth complex (3g −3)dimensional manifold [25]. The anticanonical bundle of M is the square of a holomorphic line bundle L, some ..."
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Cited by 1 (1 self)
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Let Σ be a compact Riemann surface of genus g. The moduli space Mg = Mg(2, 1) of stable rank 2 holomorphic bundles over Σ with fixed determinant bundle of degree 1 is a smooth complex (3g −3)dimensional manifold [25]. The anticanonical bundle of M is the square of a holomorphic line bundle L, some power of which embeds Mg into a projective space. The dimensions of the vector
superparticle: twistor transform and κ−symmetry
, 2003
"... N = 2 supersymmetric YangMills theory and the ..."
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
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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⊕ = c (=constant) and P ⊕ = 0, the ordinary spacetime picture is recovered (this of course applies to any dimensionality). The twistor picture[14], on the other hand, is reached via the twistor transform P m = 1 2 ψα γ m αβ ψβ ωα = Xmγ m αβ ψβ (1) which implies that the conformal spinor Z A = [ψ α
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
Perturbative gauge theory as a string theory in twistor space
 COMMUN. MATH. PHYS
, 2003
"... Perturbative scattering amplitudes in YangMills theory have many unexpected properties, such as holomorphy of the maximally helicity violating amplitudes. To interpret these results, we Fourier transform the scattering amplitudes from momentum space to twistor space, and argue that the transformed ..."
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Cited by 384 (1 self)
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Perturbative scattering amplitudes in YangMills theory have many unexpected properties, such as holomorphy of the maximally helicity violating amplitudes. To interpret these results, we Fourier transform the scattering amplitudes from momentum space to twistor space, and argue that the transformed
Twistor Theory.
, 2006
"... Twistor theory began with the work of Roger Penrose who introduced the powerful techniques of complex algebraic geometry into general relativity. Loosely speaking it is the use of complex analytic methods to solve problems in real differential geometry. In most cases the emphasis is on the geometry ..."
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Twistor theory began with the work of Roger Penrose who introduced the powerful techniques of complex algebraic geometry into general relativity. Loosely speaking it is the use of complex analytic methods to solve problems in real differential geometry. In most cases the emphasis is on the geometry
Results 1  10
of
2,838