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arXiv · 1112.6131

Consistent truncation of d = 11 supergravity on AdS_4 x S^7

Hermann Nicolai·Krzysztof Pilch
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Abstract

We study the system of equations derived twenty five years ago by B. de Wit and the first author [Nucl. Phys. B281 (1987) 211] as conditions for the consistent truncation of eleven-dimensional supergravity on AdS_4 x S^7 to gauged N = 8 supergravity in four dimensions. By exploiting the E_7(7) symmetry, we determine the most general solution to this system at each point on the coset space E_7(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 ansatze 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.

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Hermann Nicolai, Krzysztof Pilch. 2011-12-28. Consistent truncation of d = 11 supergravity on AdS_4 x S^7. https://doi.org/10.1007/jhep03(2012)099

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