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Vacuum energy of gravitinos in eleven-dimensional supergravity

The authors calculate the effective potential for gravitinos in eleven-dimensional supergravity on the background (Minkowski)*S7. As in the case of pure gravity the potential is unexpectedly large compared with the results previously obtained for lower spin fields. However, the gravitino contribution to the vacuum energy is still much smaller than the graviton contribution, at least when the Freund-Rubin parameter vanishes.