The Bosonic Mass Formula for Freund-rubin Solutions of $d=11$ Supergravity on General Coset Manifolds

Castellani, L.; D'Auria, R.; Fre, P.; Pilch, K.; van Nieuwenhuizen, P.

doi:10.1088/0264-9381/1/4/006

The Bosonic Mass Formula for Freund-rubin Solutions of $d=11$ Supergravity on General Coset Manifolds

L. Castellani
(
- SUNY, Stony Brook
)
,
R. D'Auria
(
- SUNY, Stony Brook
)
,
P. Fre
(
- SUNY, Stony Brook
)
,
K. Pilch
(
- SUNY, Stony Brook
)
,
P. van Nieuwenhuizen
(
- SUNY, Stony Brook
)

Mar, 1984

25 pages

Published in:

Class.Quant.Grav. 1 (1984) 339-348

DOI:

10.1088/0264-9381/1/4/006

Report number:

ITP-SB-83-61

reference search51 citations

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Abstract: (IOP)

The formalism of spherical harmonics for coset spaces is used to obtain the complete mass spectrum of the bosonic excitations around a class of vacuum solutions of d=11 supergravity in which the internal space is a coset manifold and the three-index photon is given by the Freund-Rubin ansatz (1978). The mass formula is given in terms of the eigenvalues of the invariant operators on the internal space.

SUPERGRAVITY
FIELD THEORY: ELEVEN-DIMENSIONAL
MASS FORMULA
FIELD THEORY: BOSON
group: SO(7)
GROUP THEORY: REPRESENTATION
Einstein equation
SYMMETRY: INTERNAL

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Figures(0)

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The Bosonic Mass Formula for Freund-rubin Solutions of d=11d=11d=11 Supergravity on General Coset Manifolds

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The Bosonic Mass Formula for Freund-rubin Solutions of $d=11$ Supergravity on General Coset Manifolds