Octonionic Torsion on S(7) and Englert's Compactification of $D=11$ Supergravity

Gursey, Feza; Tze, Hsiung Chia

doi:10.1016/0370-2693(83)90874-2

Octonionic Torsion on S(7) and Englert's Compactification of $D=11$ Supergravity

Feza Gursey
(
- Yale U.
)
,
Hsiung Chia Tze
(
- Yale U.
)

Apr, 1983

6 pages

Published in:

Phys.Lett.B 127 (1983) 191

Published: 1983

DOI:

10.1016/0370-2693(83)90874-2

Report number:

YTP-83-08

View in:

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Abstract: (Elsevier)

In an octonionic realization of the Cartan-Schouten parallelism on S 7 we exhibit the algebraic nature and Hopf topology of Englert's solutions for spontaneously compactified d =11 supergravity. The S 7 torsion and its dual, the index 4 gauge field are given locally by the Cayley structure constants and the associator of the imaginary octonion units, respectively.

FIELD THEORY: HIGHER-DIMENSIONAL
FIELD THEORY: compactification
FIELD THEORY: TORSION
ALGEBRA: OCTONION
SUPERGRAVITY: ELEVEN-DIMENSIONAL
FIELD THEORY: FIBRE BUNDLE
CHARGE: TOPOLOGICAL
MATHEMATICAL METHODS: TOPOLOGICAL

References(13)

Figures(0)

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Octonionic Torsion on S(7) and Englert's Compactification of D=11D=11D=11 Supergravity

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Octonionic Torsion on S(7) and Englert's Compactification of $D=11$ Supergravity