On supersymmetric M-brane configurations with R^{1,1}_{*}/Z_2 submanifold
V. D. Ivashchuk

TL;DR
This paper constructs new partially supersymmetric M-brane solutions on Ricci-flat manifolds, including configurations with a Lorentzian submanifold R^{1,1}_{*}/Z_2, and presents an example with fractional supersymmetry preservation.
Contribution
It introduces novel M-brane solutions involving R^{1,1}_{*}/Z_2 submanifolds, including a solution with 1/32 preserved supersymmetry, expanding the known landscape of supersymmetric configurations.
Findings
New M-brane solutions with partial supersymmetry.
An explicit M2 solution with 1/32 supersymmetry.
Analysis of configurations with multiple M-branes.
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.
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