The SO(8) Supergravity
Mar, 197972 pages
Published in:
- Nucl.Phys.B 159 (1979) 141-212
- Published: 1979
Report number:
- LPTENS 79/6
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Abstract: (Elsevier)
We present the derivation of the SO(8) supergravity theory by dimensional reduction of the supergravity theory in 11 dimensions to 4 dimensions. It has been found that the equations of motion are invariant under the global non-compact group E 7(+7) . They can be derived from a family of Lagrangians invariant under a local compact group SU(8). The general procedure to deal with non-compact global internal symmetry without introducing ghosts is discussed in connection with the appearance of an associated compact local symmetry and the use of a non-linear realization of the non-compact group. The supersymmetry transformation rules have been partially derived by dimensional reduction; their complete form follows from the assumption of covariance with respect to E 7 and SU(8). We also present briefly the O( N ) supergravities N = 7, 6, 5 and explain the symmetry SU(4)×SU(1, 1) found for the O(4) supergravity.- supergravity: SO(8)
- dimensional reduction
- dimension: 11
- dimension: 4
- group theory: representation
- symmetry: E(7)
- transformation: gauge
- effective Lagrangian
- group theory: noncompact
- field equations
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