Consistent truncation of d = 11 supergravity on AdS4 x S7

Nicolai, H.; Pilch, K.

doi:10.1007/JHEP03(2012)099

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Consistent truncation of d = 11 supergravity on AdS4 x S7

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Nicolai, H.
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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1112.6131v1.pdf
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Nicolai, H., & Pilch, K. (2012). Consistent truncation of d = 11 supergravity on AdS4 x S7. Journal of high energy physics: JHEP, 2012(03): 099. doi:10.1007/JHEP03(2012)099.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0012-625D-2

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.