1996/08/31 by P.M. Cowdall, P. M. Cowdall, H. Lu +7 · 4 citations
Mathematics · Physics and Astronomy · #Ansatz #Black Holes and Theoretical Physics #Brane #Compactification (mathematics) #Cosmology and Gravitation Theories #Dimensional reduction #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Particle physics #Physics #Pure mathematics #Supergravity #Supersymmetry #Theoretical physics #hep-th
paper · pdf · doi:10.1016/s0550-3213(96)00609-8
published as Nucl.Phys.B486:49-76,1997 · latex, 32 papes, no figures, further comments and references added
arxiv created 1996/11/05 · openalex publication_date 1997/02/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We show how toroidally-compactified eleven-dimensional supergravity can be consistently truncated to yield a variety of maximally-supersymmetric ``massive'' supergravities in spacetime dimensions D≤ 8. The mass terms arise as a consequence of making a more general ansatz than that in usual Kaluza-Klein dimensional reduction, in which one or more axions are given an additional linear dependence on one of the compactification coordinates. The lower-dimensional theories are nevertheless consistent truncations of eleven-dimensional supergravity. Owing to the fact that the generalised reduction commutes neither with U-duality nor with ordinary dimensional reduction, many different massive theories can result. The simplest examples arise when just a single axion has the additional linear coordinate dependence. We find five inequivalent such theories in D=7, and 71 inequivalent ones in D=4. The massive theories admit no maximally-symmetric vacuum solution, but they do admit (D-2)-brane solutions, i.e. domain walls, which preserve half the supersymmetry. We present examples of these solutions, and their oxidations to D=11. Some of the latter are new solutions of D=11 supergravity.