Causal character of imaginary Killing spinors and spinorial slicings

Sven Hirsch; Yiyue Zhang

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arXiv · 2512.14569

Causal character of imaginary Killing spinors and spinorial slicings

Sven Hirsch·Yiyue Zhang

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Abstract

We characterize spin initial data sets that saturate the BPS bound in the asymptotically AdS setting. This includes both gravitational waves and rotating black holes in higher dimensions, and we establish a sharp dimension threshold in each case. A key ingredient in our argument is a theorem providing a general criterion for when an imaginary Killing spinor of mixed causal type can be replaced by one that is strictly timelike or null. Moreover, in analogy with the minimal surface method, we demonstrate that spinors can be used to construct a codimension-$2$ slicing.

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Sven Hirsch, Yiyue Zhang. 2025-12-16. Causal character of imaginary Killing spinors and spinorial slicings. https://arxiv.org/abs/2512.14569

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