On Supersymmetric M-brane configurations with an R * 1,1 /Z2 submanifold

Authors :: V. D. Ivashchuk
Source :: Gravitation and Cosmology. 22:32-35
Publication Year :: 2016
Publisher :: Pleiades Publishing Ltd, 2016.
Abstract: We obtain new examples of partially supersymmetric M-brane solutions defined on products of Ricci-flat manifolds, which contain two-dimensional Lorentzian submanifold R^{1,1}_{*}/Z_2 with one parallel spinor. The examples belong to the following configurations: M2, M5, M2-M5 and M5-M5. Among them a M2 solution with N =1/32 fractional number of preserved supersymmetries is presented. The examples with three M-branes were considered earlier in our paper with A.A. Golubtsova.<br />Comment: 8 pages, LaTeX, no figures, 14 refs. are added