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Geometric Construction of Killing Spinors and Supersymmetry Algebras in Homogeneous Spacetimes

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arxiv hep-th/0208158 v2 pith:YUDN6Z27 submitted 2002-08-21 hep-th gr-qc

N. Alonso-Alberca , E. Lozano-Tellechea , T. Ortin This is my paper · ORCID
classification hep-thgr-qc
keywords algebraskillingspacetimesspinorssupersymmetrycalculationconstructedconstruction
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abstract

We show how the Killing spinors of some maximally supersymmetric supergravity solutions whose metrics describe symmetric spacetimes (including $AdS,AdS\times S$ and H$pp$-waves) can be easily constructed using purely geometrical and group-theoretical methods. The calculation of the supersymmetry algebras is extremely simple in this formalism.

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  1. 2-loop free energy of M2 brane in AdS$_7 \times$ S$^4$ and surface defect anomaly in (2,0) theory

    hep-th 2025-11 conditional novelty 7.0 of 10

    The 2-loop (1/N) correction to the M2-brane free energy in AdS7×S4 vanishes in dimensional and ζ-function regularizations, so the boundary defect anomaly is b = 12N − 9, supporting the U(N) (2,0) interpretation.

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