Spontaneous Compactification in Six-Dimensional Einstein-Maxwell Theory

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.

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

References(7)

Figures(0)

Grand Unified Schemes and Spontaneous Compactification

Z. Horvath
(
- Eotvos U.
)
,
L. Palla
(
- Eotvos U.
)
,
E. Cremmer
(
- Ecole Normale Superieure
)
,
Joel Scherk
(
- Ecole Normale Superieure
)

- Nucl.Phys.B 127 (1977) 57-65
•
DOI:
- 10.1016/0550-3213(77)90351-0

Spontaneous Compactification of a (4+ $d$ )-dimensional {Kaluza-Klein} Theory Into M(4) X $G/H$ for Arbitrary $G$ and $H$

S. Randjbar-Daemi
(
- ICTP, Trieste
)
,
R. Percacci
(
- SISSA, Trieste and
- Trieste U. and
- INFN, Trieste
)

- Phys.Lett.B 117 (1982) 41
•
DOI:
- 10.1016/0370-2693(82)90869-3

On Kaluza-Klein Theory

Abdus Salam
(
- ICTP, Trieste and
- Imperial Coll., London
)
,
J.A. Strathdee
(
- ICTP, Trieste
)

- Annals Phys. 141 (1982) 316-352,
- Also in *Appelquist, T. (ed.) et al.: Modern Kaluza-Klein theories* 163-199,
- Also in *Salam, A. (ed.), Sezgin, E. (ed.): Supergravities in diverse dimensions, vol. 2* 1330-1366,
- Also in *Ali, A. (ed.) et al.: Selected papers of Abdus Salam* 451-487
•
DOI:
- 10.1016/0003-4916(82)90291-3

Dynamics of Dimensional Reduction

Peter G.O. Freund
(
- Chicago U., EFI
)
,
Mark A. Rubin
(
- Chicago U., EFI
)

- Phys.Lett.B 97 (1980) 233-235,
- IN *APPELQUIST, T. (ED.) ET AL.: MODERN KALUZA-KLEIN THEORIES*, 210-212. (Phys. Lett. B97 (1980) 233-235) AND CHICAGO UNIV. - EFI 80-035 (80,REC.NOV.) 7 P. (SEE BOOK INDEX),
•
DOI:
- 10.1016/0370-2693(80)90590-0

Stability of Gravity with a Cosmological Constant

L.F. Abbott
(
- CERN
)
,
Stanley Deser
(
- CERN
)

- Nucl.Phys.B 195 (1982) 76-96
•
DOI:
- 10.1016/0550-3213(82)90049-9

One Loop Divergences of Quantized Einstein-Maxwell Fields

Stanley Deser
(
- Brandeis U.
)
,
P. van Nieuwenhuizen
(
- Brandeis U.
)

- Phys.Rev.D 10 (1974) 401
•
DOI:
- 10.1103/PhysRevD.10.401

How to Get Masses from Extra Dimensions

- Nucl.Phys.B 153 (1979) 61-88,
•
DOI:
- 10.1016/0550-3213(79)90592-3