Wess–Zumino coupling of the compactified M2-brane forces its monopole 0-form and winding 1-form symmetries into a 2-group whose Postnikov class is the mixed quantized flux.
All symmetric space solutions of eleven-dimensional supergravity
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abstract
We find all symmetric space solutions of eleven-dimensional supergravity completing an earlier classification by Figueroa-O'Farrill. They come in two types: AdS solutions and pp-wave solutions. We analyze the supersymmetry conditions and show that out of the 99 AdS geometries the only supersymmetric ones are the well known backgrounds arising as near-horizon limits of (intersecting) M-branes and preserving 32, 16 or 8 supersymmetries. The general form of the superisometry algebra for symmetric space backgrounds is also derived.
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2-Group global symmetry in the compactified M2-brane
Wess–Zumino coupling of the compactified M2-brane forces its monopole 0-form and winding 1-form symmetries into a 2-group whose Postnikov class is the mixed quantized flux.