publication . Article . Preprint . 2005

systematics of iib spinorial geometry

Gran, U.; Gutowski, J.; Papadopoulos, G.; Roest, D.;
Open Access
  • Published: 08 Jul 2005 Journal: Classical and Quantum Gravity, volume 23, pages 1,617-1,678 (issn: 0264-9381, eissn: 1361-6382, Copyright policy)
  • Publisher: IOP Publishing
Abstract
We reduce the classification of all supersymmetric backgrounds of IIB supergravity to the evaluation of the Killing spinor equations and their integrability conditions, which contain the field equations, on five types of spinors. This extends the work of [hep-th/0503046] to IIB supergravity. We give the expressions of the Killing spinor equations on all five types of spinors. In this way, the Killing spinor equations become a linear system for the fluxes, geometry and spacetime derivatives of the functions that determine the Killing spinors. This system can be solved to express the fluxes in terms of the geometry and determine the conditions on the geometry of a...
Subjects
arXiv: General Relativity and Quantum CosmologyMathematics::Differential GeometryCondensed Matter::Quantum Gases
free text keywords: Physics and Astronomy (miscellaneous), Higher-dimensional supergravity, Physics, Spacetime, Killing vector field, Spin-½, Quantum mechanics, Killing spinor, Supergravity, Geometry, Spinor field, Spinor, High Energy Physics - Theory

[1] A. Dabholkar, G. W. Gibbons, J. A. Harvey and F. Ruiz Ruiz, “Superstrings And Solitons,” Nucl. Phys. B 340 (1990) 33.

[17] J. H. Schwarz and P. C. West, “Symmetries And Transformations Of Chiral N=2 D = 10 Supergravity,” Phys. Lett. B 126 (1983) 301.

[18] P. S. Howe and P. C. West, “The Complete N=2, D = 10 Supergravity,” Nucl. Phys. B 238 (1984) 181.

[19] E. A. Bergshoeff, M. de Roo, S. F. Kerstan and F. Riccioni, “IIB supergravity revisited,” arXiv:hep-th/0506013.

[20] G. Papadopoulos and D. Tsimpis, “The holonomy of IIB supercovariant connection,” Class. Quant. Grav. 20 (2003) L253 [arXiv:hep-th/0307127]. [OpenAIRE]

[21] J. Bellorin and T. Ortin, “A note on simple applications of the Killing spinor identities,” Phys. Lett. B 616 (2005) 118 [arXiv:hep-th/0501246]. [OpenAIRE]

[23] A. Gray and L.M. Hervella, “The sixteen classes of almost Hermitian manifolds and their linear invariants”, Ann. Mat. Pura e Appl. 282 (1980) 1. [OpenAIRE]

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publication . Article . Preprint . 2005

systematics of iib spinorial geometry

Gran, U.; Gutowski, J.; Papadopoulos, G.; Roest, D.;