Domain Walls from M-branes

Details Domain Walls from M-branes Domain Walls from M-branes

1996-11-11

arxiv.org/abs/hep-th/9611079v2

Mod.Phys.Lett.A12:1087-1094,1997

Physics

High Energy Physics

High Energy Physics - Theory

Latex, 9 pages, reference added

Scientific paper

10.1142/S0217732397001102

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.

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