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arXiv · 1602.03750

Symmetry operators of Killing spinors and superalgebras in AdS_5

Ümit Ertem
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Abstract

We construct the first-order symmetry operators of Killing spinor equation in terms of odd Killing-Yano forms. By modifying the Schouten-Nijenhuis bracket of Killing-Yano forms, we show that the symmetry operators of Killing spinors close into an algebra in AdS_5 spacetime. Since the symmetry operator algebra of Killing spinors corresponds to a Jacobi identity in extended Killing superalgebras, we investigate the possible extensions of Killing superalgebras to include higher-degree Killing-Yano forms. We found that there is a superalgebra extension but no Lie superalgebra extension of the Killing superalgebra constructed out of Killing spinors and odd Killing-Yano forms in AdS_5 background.

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Ümit Ertem. 2016-04-22. Symmetry operators of Killing spinors and superalgebras in AdS_5. https://doi.org/10.1063/1.4947178

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