Compactification of D = 11 supergravity on spaces of exceptional holonomy - INSPIRE

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Compactification of D = 11 supergravity on spaces of exceptional holonomy

G. Papadopoulos
(
- Cambridge U.
)
,
P.K. Townsend
(
- Cambridge U.
)

Jun, 1995

14 pages

Published in:

Phys.Lett.B 357 (1995) 300-306

e-Print:

hep-th/9506150 [hep-th]

DOI:

10.1016/0370-2693(95)00929-F

Report number:

DAMTP-R-95-31

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Abstract:

We investigate the compactification of D=11 supergravity to D=5,4,3, on compact manifolds of holonomy

SU(3)

(Calabi-Yau),

G_2

, and

Spin(7)

, respectively, making use of examples of the latter two cases found recently by Joyce. In each case the lower dimensional theory is a Maxwell/Einstein supergravity theory. We find evidence for an equivalence, in certain cases, with heterotic string compactifications from D=10 to D=5,4,3, on compact manifolds of holonomy

SU(2)

(

K_3\times S~1

),

SU(3)

, and

G_2

, respectively. The complete intersection Calabi manifold with Hodge numbers

h_{1,1}=h_{1,2}=19

plays a significant role in the proposed equivalences.

Note:

15 pp., Phyzxx Report-no: DAMTP, R/95/31

supergravity
dimension: 11
compactification
field theory: Calabi-Yau
field theory: Kaehler
geometry: algebra

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Figures(0)

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