1995/11/22 by M. J. Duff, H. Lu, H. Lü +4 · 5 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Brane #Cosmology and Gravitation Theories #Geometry #Holonomy #Isometry (Riemannian geometry) #Killing spinor #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Orientation (vector space) #Physics #Pure mathematics #Quantum mechanics #Spacetime #Spinor #String (physics) #Supergravity #Supersymmetry #Symmetry (geometry) #hep-th
paper · pdf · doi:10.1016/0370-2693(95)01606-6
published as Phys.Lett.B371:206-214,1996 · 14 pages, Latex, no figures
arxiv created 1995/11/22 · openalex publication_date 1996/03/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The usual supermembrane solution of D=11 supergravity interpolates between R11 and AdS4 × round~S7, has symmetry P3 × SO(8) and preserves 1/2 of the spacetime supersymmetries for either orientation of the round S7. Here we show that more general supermembrane solutions may be obtained by replacing the round S7 by any seven-dimensional Einstein space M7. These have symmetry P3 × G, where G is the isometry group of M7. For example, G=SO(5) × SO(3) for the squashed S7. For one orientation of M7, they preserve N/16 spacetime supersymmetries where 1≤ N ≤ 8 is the number of Killing spinors on M7; for the opposite orientation they preserve no supersymmetries since then M7 has no Killing spinors. For example N=1 for the left-squashed S7 owing to its G2 Weyl holonomy, whereas N=0 for the right-squashed S7. All these solutions saturate the same Bogomol'nyi bound between the mass and charge. Similar replacements of SD-p-2 by Einstein spaces MD-p-2 yield new super p-brane solutions in other spacetime dimensions D≤ 11. In particular, simultaneous dimensional reduction of the above D=11 supermembranes on S1 leads to a new class of D=10 elementary string solutions which also have fewer supersymmetries.