Hidden symmetries and Lie algebra structures from geometric and supergravity Killing spinors

Acik, Ozgur and Ertem, Umit (2016) Hidden symmetries and Lie algebra structures from geometric and supergravity Killing spinors. Classical and Quantum Gravity, 33 (16). ISSN 0264-9381

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Abstract

We consider geometric and supergravity Killing spinors and the spinor bilinears constructed out of them. The spinor bilinears of geometric Killing spinors correspond to the antisymmetric generalizations of Killing vector fields which are called Killing–Yano forms. They constitute a Lie superalgebra structure in constant curvature spacetimes. We show that the Dirac currents of geometric Killing spinors satisfy a Lie algebra structure up to a condition on 2-form spinor bilinears. We propose that the spinor bilinears of supergravity Killing spinors give way to different generalizations of Killing vector fields to higher degree forms. It is also shown that those supergravity Killing forms constitute a Lie algebra structure in six- and ten-dimensional cases. For five- and eleven-dimensional cases, the Lie algebra structure depends on an extra condition on supergravity Killing forms

Item Type: Journal Article
Journal or Publication Title: Classical and Quantum Gravity
Uncontrolled Keywords: /dk/atira/pure/subjectarea/asjc/3100/3101
Subjects:
Departments: Faculty of Science and Technology > Physics
ID Code: 83518
Deposited By: ep_importer_pure
Deposited On: 15 Dec 2016 10:22
Refereed?: Yes
Published?: Published
Last Modified: 15 Oct 2019 04:04
URI: https://eprints.lancs.ac.uk/id/eprint/83518

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