Results 1  10
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258
A new maximally supersymmetric background of IIB superstring theory
, 2001
"... We present a maximally supersymmetric IIB string background. The geometry is that of a conformally flat lorentzian symmetric space G/K with solvable G, with a homogeneous fiveform flux. We give the explicit supergravity solution, compute the isometries, the 32 Killing spinors, and the symmetry supe ..."
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Cited by 405 (27 self)
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We present a maximally supersymmetric IIB string background. The geometry is that of a conformally flat lorentzian symmetric space G/K with solvable G, with a homogeneous fiveform flux. We give the explicit supergravity solution, compute the isometries, the 32 Killing spinors, and the symmetry
Twistor Spinors And Normal Cartan Connections In Conformal Geometries
, 2000
"... We formulate conformal (spin) geometry with arbitrary signature in the context of almost Hermitian symmetric geometry and construct the canonical normal Cartan connection of conformal geometry. It is shown that twistor spinors on a conformal spin manifold M may be interpreted as parallel sections in ..."
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We formulate conformal (spin) geometry with arbitrary signature in the context of almost Hermitian symmetric geometry and construct the canonical normal Cartan connection of conformal geometry. It is shown that twistor spinors on a conformal spin manifold M may be interpreted as parallel sections
Conformal Invariance of the Pure Spinor Superstring
 in a Curved Background,” JHEP 0404 (2004) 041 [arXiv:hepth/0401226
"... It is shown that the pure spinor formulation of the heterotic superstring in a generic gravitational and super YangMills background has vanishing oneloop beta functions. ..."
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Cited by 19 (8 self)
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It is shown that the pure spinor formulation of the heterotic superstring in a generic gravitational and super YangMills background has vanishing oneloop beta functions.
Spinor algebras
"... We consider supersymmetry algebras in spacetimes with arbitrary signature and minimal number of spinor generators. The interrelation between super Poincaré and super conformal algebras is elucidated. Minimal super conformal algebras are seen to have as bosonic part a classical semimisimple algebra ..."
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Cited by 4 (1 self)
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We consider supersymmetry algebras in spacetimes with arbitrary signature and minimal number of spinor generators. The interrelation between super Poincaré and super conformal algebras is elucidated. Minimal super conformal algebras are seen to have as bosonic part a classical semimisimple algebra
Pure Spinor Formalism for Conformal Fermion and Conserved Currents
, 1999
"... Abstract Pure spinor formalism and nonintegrable exponential factors are used for constructing the conformalinvariant wave equation and Lagrangian density for massive fermion. It is proved that canonical Dirac Lagrangian for massive fermion is invariant under induced projective conformal transform ..."
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Abstract Pure spinor formalism and nonintegrable exponential factors are used for constructing the conformalinvariant wave equation and Lagrangian density for massive fermion. It is proved that canonical Dirac Lagrangian for massive fermion is invariant under induced projective conformal
Cohomology Groups of Harmonic Spinors on Conformally Flat Manifolds
"... Abstract. We shall investigate various properties of the sheaf of harmonic spinors N on C 2 and, more generally, on conformally flat spin 4manifolds. We prove the Runge approximation theorem on C 2 , and the vanishing of cohomologies; H 1 (C 2 , N ) = 0 and H 1 (S 4 , N ) = 0. We shall introduce a ..."
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Abstract. We shall investigate various properties of the sheaf of harmonic spinors N on C 2 and, more generally, on conformally flat spin 4manifolds. We prove the Runge approximation theorem on C 2 , and the vanishing of cohomologies; H 1 (C 2 , N ) = 0 and H 1 (S 4 , N ) = 0. We shall introduce
Twistor Spinors and Their Zeroes
 J. Geom. Phys
, 1994
"... A generalization of the Einstein condition for Killing spinors is given for twistor spinors on Riemannian manifolds. We study the zeroes of twistor spinors on manifolds with parallel Riccitensor, in particular on Einstein manifolds. Furthermore, we consider the conformal deformation of the metric d ..."
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Cited by 12 (0 self)
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A generalization of the Einstein condition for Killing spinors is given for twistor spinors on Riemannian manifolds. We study the zeroes of twistor spinors on manifolds with parallel Riccitensor, in particular on Einstein manifolds. Furthermore, we consider the conformal deformation of the metric
The spinor representation of surfaces in space
, 1996
"... Abstract. The spinor representation is developed for conformal immersions of Riemann surfaces into space. We adapt the approach of Dennis Sullivan [32], which treats a spin structure on a Riemann surface M as a complex line bundle S whose square is the canonical line bundle K = T(M). Given a conform ..."
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Cited by 15 (0 self)
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Abstract. The spinor representation is developed for conformal immersions of Riemann surfaces into space. We adapt the approach of Dennis Sullivan [32], which treats a spin structure on a Riemann surface M as a complex line bundle S whose square is the canonical line bundle K = T(M). Given a
Results 1  10
of
258