Noncompact Gaugings From Higher Dimensions

Hull, C.M.; Warner, N.P.

doi:10.1088/0264-9381/5/12/005

Noncompact Gaugings From Higher Dimensions

C.M. Hull
(
- Imperial Coll., London
)
,
N.P. Warner
(
- CERN
)

Apr 5, 1988

20 pages

Published in:

Class.Quant.Grav. 5 (1988) 1517

DOI:

10.1088/0264-9381/5/12/005

Report number:

Print-88-0264 (CERN),
IMPERIAL-TH/87-88/17

View in:

CERN Document Server

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Abstract: (IOP)

The N=8 supergravity theories in four (and five) dimensions with non-compact gauge groups are obtained from eleven- (and ten-) dimensional supergravities in backgrounds with non-compact internal spaces. The SO(p,q) gaugings are obtained by a consistent truncation of the higher-dimensional supergravity in a background that is a warped product of a four- (or five-) dimensional Einstein space with the hyperboloid Hp,q (i.e. the surface (z1)2+. . .+(zp)2-(zp+1)2-. . . -(zp+q)2=r2). For the non-semisimple CSO (p,q,r) gaugings Hp,q is replaced by the 'cylinder' Hp,q*Rr. These backgrounds are solutions of the higher-dimensional field equations precisely when the lower-dimensional supergravity has a SO(p)*SO(q) invariant vacuum solution. The mode analysis and massive spectra in these backgrounds are briefly considered.

SUPERGRAVITY
FIELD THEORY: HIGHER-DIMENSIONAL
FIELD THEORY: DIMENSIONAL REDUCTION
GAUGE FIELD THEORY: SO(N,M)
FIELD EQUATIONS: SOLUTION

References(38)

Figures(0)

Supergravity, the Seven Sphere, and Spontaneous Symmetry Breaking

M.J. Duff
(
- CERN
)

- Nucl.Phys.B 219 (1983) 389,
- Grossmann Meeting 1982:269,
- In *Shanghai 1982, Proceedings, General Relativity, Part A*, 269-293 and CERN Geneva - TH. 3451 (82,REC.NOV.) 24p
•
DOI:
- 10.1016/0550-3213(83)90649-1

Kaluza-Klein Supergravity

- Phys.Rept. 130 (1986) 1-142,
- Phys. Rep. 130 ( 1986) 1-142
•
DOI:
- 10.1016/0370-1573(86)90163-8

A New SO(7) Invariant Solution of $d=11$ Supergravity

B. de Wit
(
- NIKHEF, Amsterdam
)
,
H. Nicolai
(
- CERN
)

- Phys.Lett.B 148 (1984) 60,
- IN *APPELQUIST, T. (ED.) ET AL.: MODERN KALUZA-KLEIN THEORIES*, 271-275. (PHYS. LETT. B148 (1984) 60) AND CERN GENEVA - TH. 3956 (84,REC.AUG.) 8 P. (SEE BOOK INDEX)
•
DOI:
- 10.1016/0370-2693(84)91611-3

On the Relation Between $d=4$ and $d=11$ Supergravity

B. de Wit
(
- NIKHEF, Amsterdam
)
,
H. Nicolai
(
- CERN
)

- Nucl.Phys.B 243 (1984) 91-111
•
DOI:
- 10.1016/0550-3213(84)90387-0

$d=11$ Supergravity With Local SU(8) Invariance

B. de Wit
(
- Utrecht U.
)
,
H. Nicolai
(
- CERN
)

- Nucl.Phys.B 274 (1986) 363-400
•
DOI:
- 10.1016/0550-3213(86)90290-7

Hidden Symmetry in $d=11$ Supergravity

B. de Wit
(
- Utrecht U.
)
,
H. Nicolai
(
- CERN
)

- Phys.Lett.B 155 (1985) 47-53
•
DOI:
- 10.1016/0370-2693(85)91030-5

The Embedding of Gauged $N=8$ Supergravity Into $d=11$ Supergravity

- Nucl.Phys.B 255 (1985) 29-62
•
DOI:
- 10.1016/0550-3213(85)90128-2

On the Embedding of $d=4 N=8$ Gauged Supergravity in $d=11 N=1$ Supergravity

Bengt E.W. Nilsson
(
- Santa Barbara, KITP and
- Imperial Coll., London and
- Goteborg, ITP
)

- Phys.Lett.B 155 (1985) 54-58
•
DOI:
- 10.1016/0370-2693(85)91031-7

N=8 Supergravity with Local SO(8) x SU(8) Invariance

B. de Wit
(
- NIKHEF, Amsterdam
)
,
H. Nicolai
(
- CERN
)

- Phys.Lett.B 108 (1982) 285,
•
DOI:
- 10.1016/0370-2693(82)91194-7

N=8 Supergravity

B. de Wit
(
- NIKHEF, Amsterdam
)
,
H. Nicolai
(
- CERN
)

- Nucl.Phys.B 208 (1982) 323,
- In *Florence 1982, Proceedings, Lattice Gauge Theory, Supersymmetry and Grand Unification*, 357-372 and CERN Geneva - TH. 3291 (82,REC.JUL.) 58p
•
DOI:
- 10.1016/0550-3213(82)90120-1