By analyzing eleven-dimensional superspace fourth-rank superfield strength F-Bianchi identities, we show that M-theory corrections to eleven-dimensional supergravity can not be embedded into the mass dimension zero constraints, such as the (\g^{ a b})_{ \a\b} X_{ a b}{ }^c or i (\g^{ a_1... a_5})_{ \a\b} X_{ a_1... a_5}{ }^c -terms in the supertorsion constraint T_{ \a\b}{ }^c. The only possible modification of superspace constraint at dimension zero is found to be the scaling of F_{ \a\b c d} like F_{ \a\b c d} = (1/2) \big(\g_{ c d}\big)_{ \a\b} e^\Phi for some real scalar superfield \Phi, which alone is further shown not enough to embed general M-theory corrections. This conclusion is based on the dimension zero F-Bianchi identity under the two assumptions: (i) There are no negative dimensional constraints on the F-superfield strength: F_{ \a\b\g\d} = F_{ \a\b\g d} =0; (ii) The supertorsion T-Bianchi identities and F-Bianchi identities are not modified by Chern-Simons terms. Our result can serve as a powerful tool for future exploration of M-theory corrections embedded into eleven-dimensional superspace supergravity.
Categories: hep-th