1996/11/19 by I. V. Lavrinenko, I.V. Lavrinenko, H. Lu +1 · 10 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Brane cosmology #Cohomology #Combinatorics #Computer science #Cosmology and Gravitation Theories #Differential geometry #Dimension (graph theory) #Dimensional reduction #Domain (mathematical analysis) #Geometry #Manifold (fluid mechanics) #Mathematical analysis #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Pure mathematics #Quantum mechanics #Reduction (mathematics) #Space (punctuation) #Topology (electrical circuits) #Toroid #hep-th
paper · pdf · doi:10.1016/s0550-3213(97)00086-2
published in Nuclear Physics B 492(1-2), 278-298 (Elsevier BV) · Latex, 24 pages, no figures, typo corrected, reference added and discussion of duality extended
arxiv created 1996/11/19 · openalex publication_date 1997/05/12 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
In the usual procedure for toroidal Kaluza-Klein reduction, all the higher-dimensional fields are taken to be independent of the coordinates on the internal space. It has recently been observed that a generalisation of this procedure is possible, which gives rise to lower-dimensional ``massive'' supergravities. The generalised reduction involves allowing gauge potentials in the higher dimension to have an additional linear dependence on the toroidal coordinates. In this paper, we show that a much wider class of generalised reductions is possible, in which higher-dimensional potentials have additional terms involving differential forms on the internal manifold whose exterior derivatives yield representatives of certain of its cohomology classes. We consider various examples, including the generalised reduction of M-theory and type II strings on K3, Calabi-Yau and 7-dimensional Joyce manifolds. The resulting massive supergravities support domain-wall solutions that arise by the vertical dimensional reduction of higher-dimensional solitonic p-branes and intersecting p-branes.