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Abstract:
We study the system of equations derived twenty five years ago by B. deWit and the first
author [Nucl. Phys. B281 (1987) 211] as conditions for the consistent truncation of elevendimensional
supergravity on AdS4 × S7 to gauged N =8 supergravity in four dimensions.
By exploiting the E7(7) symmetry, we determine the most general solution to this system at
each point on the coset space E7(7)/SU(8). We show that invariants of the general solution
are given by the fluxes in eleven-dimensional supergravity. This allows us to both clarify
the explicit non-linear ans¨atze for the fluxes given previously and to fill a gap in the original
proof of the consistent truncation. These results are illustrated with several examples.
