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


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Abstract

We obtain new examples of partly supersymmetric M-brane solutions defined on products of Ricci-flat manifolds, which contain a two-dimensional Lorentzian submanifold R*1,1 /Z2 with one parallel spinor. The examples belong to the following configurations: M2, M5, M2 ∩M5 and M5 ∩M5. Among them, an M2 solution with N = 1/32 fractional number of preserved supersymmetries is presented.

About the authors

V. D. Ivashchuk

Center for Gravitation and Fundamental Metrology, VNIIMS

Author for correspondence.
Email: ivashchuk@mail.ru
Russian Federation, Ozernaya ul. 46, Moscow, 119361

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