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arxiv: hep-th/9805151 · v1 · submitted 1998-05-25 · ✦ hep-th

A Construction of Killing Spinors on S^n

classification ✦ hep-th
keywords killingspinorsresultsadditionarbitrarybackgroundsconstructconstruction
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We derive simple general expressions for the explicit Killing spinors on the n-sphere, for arbitrary n. Using these results we also construct the Killing spinors on various AdS x Sphere supergravity backgrounds, including AdS_5 x S^5$, AdS_4 x S^7 and AdS_7 x S^4. In addition, we extend previous results to obtain the Killing spinors on the hyperbolic spaces H^n.

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  1. From Weyl Anomaly to Defect Supersymmetric R\'enyi Entropy and Casimir Energy

    hep-th 2025-01 unverdicted novelty 5.0

    In 6D (2,0) theories, defect supersymmetric Rényi entropy contribution is linear in 1/n and equals a constant times (2b - d2); Casimir energy contribution equals -d2 (up to constant) in the chiral algebra limit.