Built on

E. Cremmer, B. Julia, and J. Scherk, Supergravity Theory in Eleven-Dimensions
1978
Earlier work this paper cites.
E. Cremmer and B. Julia, The SO(8) Supergravity
1979
Earlier work this paper cites.
B. de Wit and H. Nicolai, N=8 Supergravity
1982
Earlier work this paper cites.
B. de Wit, H. Nicolai, and N. P. Warner, The Embedding of Gauged N = 8 N=8 Supergravity Into d = 11 d=11 Supergravity
1985
Earlier work this paper cites.
B. de Wit and H. Nicolai, d = 11 d=11 Supergravity With Local SU(8) Invariance
1986
Earlier work this paper cites.
B. de Wit and H. Nicolai, The Consistency of the S 7 S^{7} Truncation in D = 11 D=11 Supergravity
1987
Earlier work this paper cites.
M. Cvetic, M. J. Duff, P. Hoxha, J. T. Liu, H. Lu, J. X. Lu, R. Martinez-Acosta, C. N. Pope, H. Sati, and T. A. Tran, Embedding AdS black holes in ten-dimensions and eleven-dimensions
1999
Earlier work this paper cites.
M. Cvetic, H. Lu, and C. N. Pope, Four-dimensional N=4, SO(4) gauged supergravity from D = 11
2000
Earlier work this paper cites.

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2015

The complete $D=11$ embedding of SO(8) supergravity

Varela, Oscar

Understand

The truncation formulae of $D=11$ supergravity on $S^7$ to $D=4$ ${\cal N} =8$ SO(8)-gauged supergravity are completed to include the full non-linear dependence of the $D=11$ three-form potential $\hat A_{(3)}$ on the $D=4$ fields, and their consistency is shown.

The full embedding into $\hat A_{(3)}$ is naturally expressed in terms of a restricted version, still ${\cal N} =8$ but only SL(8)--covariant, of the $D=4$ tensor hierarchy.
The redundancies introduced by this approach are removed at the level of the field strength $\hat F_{(4)}$ by exploiting $D=4$ duality relations.
Finally, new expressions for the full consistent truncation formulae are given that are, for the first time, explicit in all $D=4$ fields.

Built on

E. Cremmer, B. Julia, and J. Scherk, Supergravity Theory in Eleven-Dimensions
1978
Earlier work this paper cites.
E. Cremmer and B. Julia, The SO(8) Supergravity
1979
Earlier work this paper cites.
B. de Wit and H. Nicolai, N=8 Supergravity
1982
Earlier work this paper cites.
B. de Wit, H. Nicolai, and N. P. Warner, The Embedding of Gauged N = 8 N=8 Supergravity Into d = 11 d=11 Supergravity
1985
Earlier work this paper cites.
B. de Wit and H. Nicolai, d = 11 d=11 Supergravity With Local SU(8) Invariance
1986
Earlier work this paper cites.
B. de Wit and H. Nicolai, The Consistency of the S 7 S^{7} Truncation in D = 11 D=11 Supergravity
1987
Earlier work this paper cites.
M. Cvetic, M. J. Duff, P. Hoxha, J. T. Liu, H. Lu, J. X. Lu, R. Martinez-Acosta, C. N. Pope, H. Sati, and T. A. Tran, Embedding AdS black holes in ten-dimensions and eleven-dimensions
1999
Earlier work this paper cites.
M. Cvetic, H. Lu, and C. N. Pope, Four-dimensional N=4, SO(4) gauged supergravity from D = 11
2000
Earlier work this paper cites.