Domain Walls from M-branes

Abstract

We discuss the vertical dimensional reduction of M-branes to domain walls in D=7 and D=4, by dimensional reduction on Ricci-flat 4-manifolds and 7-manifolds. In order to interpret the vertically-reduced 5-brane as a domain wall solution of a dimensionally-reduced theory in D=7, it is necessary to generalise the usual Kaluza-Klein ansatz, so that the 3-form potential in D=11 has an additional term that can generate the necessary cosmological term in D=7. We show how this can be done for general 4-manifolds, extending previous results for toroidal compactifications. By contrast, no generalisation of the Kaluza-Klein ansatz is necessary for the compactification of M-theory to a D=4 theory that admits the domain wall solution coming from the membrane in D=11.

Latex, 9 pages, reference added

Cited by in corpus (11)

• Instanton Cosmology and Domain Walls from M-theory and String Theory
• From p-branes to Cosmology
• Classification of p-branes, NUTs, Waves and Intersections
• Duality symmetric massive type II theories in D=8 and D=6
• More CFTs and RG Flows from Deforming M2/M5-Brane Horizon
• Domain-wall Supergravities from Sphere Reduction
• Massive Dualities in Six Dimensions
• Massive T-duality in six dimensions
• Romans type IIA theory and the heterotic strings
• Probing Solitons in Brane Worlds
• Non-duality in three dimensions