This note focuses on some properties and uses of filtered deformations in the context of D = 11 supergravity. We define the concept of abstract symbol and give a strong version of the Reconstruction Theorem, namely a bijective correspondence from the space of highly supersymmetric supergravity backgrounds to the space of abstract symbols. We propose a general strategy to construct highly supersymmetric supergravity backgrounds and present an example in detail, which includes the computation of the ideal generated by the Killing spinors of two known pp-wave backgrounds with N = 24 supersymmetry. Finally, we give an alternative proof, based on the isotropy algebra of a supergravity background, of a classical supersymmetry gap result of Gran, Gutowski, Papadopoulos and Roest.
Santi, A. (2022). Remarks on highly supersymmetric backgrounds of 11-dimensional supergravity. In Geometry, Lie theory and applications - The Abel Symposium 2019 (pp. 253-277). 233 SPRING STREET, NEW YORK, NY 10013, UNITED STATES : SPRINGER [10.1007/978-3-030-81296-6_12].
Remarks on highly supersymmetric backgrounds of 11-dimensional supergravity
Santi, A
2022-01-01
Abstract
This note focuses on some properties and uses of filtered deformations in the context of D = 11 supergravity. We define the concept of abstract symbol and give a strong version of the Reconstruction Theorem, namely a bijective correspondence from the space of highly supersymmetric supergravity backgrounds to the space of abstract symbols. We propose a general strategy to construct highly supersymmetric supergravity backgrounds and present an example in detail, which includes the computation of the ideal generated by the Killing spinors of two known pp-wave backgrounds with N = 24 supersymmetry. Finally, we give an alternative proof, based on the isotropy algebra of a supergravity background, of a classical supersymmetry gap result of Gran, Gutowski, Papadopoulos and Roest.File | Dimensione | Formato | |
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