Domain walls from M-branes

Nov, 1996
9 pages
Published in:
  • Mod.Phys.Lett.A 12 (1997) 1087-1094
e-Print:
Report number:
  • CTP-TAMU-56-96

Citations per year

19962001200620112016012345
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.
  • membrane model: p-brane
  • dimension: 7
  • dimension: 4
  • dimensional reduction
  • domain wall
  • Kaluza-Klein model
  • compactification