Spontaneous Compactification in Six-Dimensional Einstein-Maxwell Theory
S. Randjbar-Daemi (ICTP, Trieste), Abdus Salam (ICTP, Trieste & Imperial Coll., London), J.A. Strathdee (ICTP, Trieste)

Oct 1982 - 22 pages

  • Nucl.Phys. B214 (1983) 491-512
    Also in *Appelquist, T. (ed.) et al.: Modern Kaluza-Klein Theories*, 542-563
    Also in *Salam, A. (ed.), Sezgin, E. (ed.): Supergravities in diverse dimensions, vol. 2* 1385-1406
    Also in *Ali, A. (ed.) et al.: Selected papers of Abdus Salam* 488-509
  • (1983)
  • DOI: 10.1016/0550-3213(83)90247-X
  • IC-82-208

Abstract (Elsevier)
A discrete set of solutions to the classical Einstein-Maxwell equations in six-dimensional space-time is considered. These solutions have the form of a product of four-dimensional constant curvature space-time with a 2-sphere. The Maxwell field has support on the 2-sphere where it represents a monopole of magnetic charge, n = ±1, ±2, …. The spectrum of massless and massive states is obtained for the special case of flat 4-space, and the solution is shown to be classically stable. The limiting case where the radius of the 2-sphere becomes small is considered and a dimensionally reduced effective lagrangian for the long range modes is derived. This turns out to be an SU(2) × U(1) gauge theory with chiral couplings.


Keyword(s): INSPIRE: Kaluza-Klein model | dimension: 6 | compactification | Einstein-Maxwell equation | field equations: monopole | field equations: classical | gauge field theory: SU(2) x U(1) | fermion | fluctuation | particle: multiplet | multiplet: particle | zero mode | algebra: Clifford | transformation: Lorentz
 Record added 1982-10-01, last modified 2016-04-20