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A Construction of Killing Spinors on S^n

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arxiv hep-th/9805151 v1 pith:U7C7J5LW submitted 1998-05-25 hep-th

classification hep-th
keywords killingspinorsresultsadditionarbitrarybackgroundsconstructconstruction
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

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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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. New BPS States from Bosonic/Heterotic Duality

    hep-th 2025-05 conditional novelty 6.0 of 10

    New heterotic BPS cosmic string and instanton solutions are constructed from a conjectured duality with the noncritical bosonic string, with explicit Killing spinors on both sides.

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

    hep-th 2025-01 unverdicted novelty 5.0 of 10

    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.

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