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A Note on Embedding of M-Theory Corrections into Eleven-Dimensional Superspace | | Hitoshi Nishino
; Subhash Rajpoot
; | | Date: |
27 Mar 2001 | | Journal: | Phys.Rev. D64 (2001) 124016 | | Subject: | hep-th | | Abstract: | 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} X_{a b}{}^c or i (g^{a_1... a_5})_{a} X_{a_1... a_5}{}^c -terms in the supertorsion constraint T_{a}{}^c. The only possible modification of superspace constraint at dimension zero is found to be the scaling of F_{ac d} like F_{ac d} = (1/2) ig(g_{c d}ig)_{a} 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_{agd} = F_{ad} =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. | | Source: | arXiv, hep-th/0103224 | | Services: | Forum | Review | PDF | Favorites | |
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