On Supersymmetric M-brane configurations with an R *  1,1  /Z 2  submanifold

V. D. Ivashchuk

doi:10.1134/S0202289316010084

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

Authors: Ivashchuk V.D.¹
Affiliations:
1. Center for Gravitation and Fundamental Metrology, VNIIMS
Issue: Vol 22, No 1 (2016)
Pages: 32-35
Section: Article
URL: https://journals.rcsi.science/0202-2893/article/view/176002
DOI: https://doi.org/10.1134/S0202289316010084
ID: 176002

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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.

Keywords

Manifold, Harmonic Function, Fractional Number, Killing Spinor, Holonomy Group

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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