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On supersymmetric solutions in D = 11 supergravity with Ricci-flat internal spaces

V. D. Ivashchuk
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Abstract

An introduction to supersymmetric (SUSY) solutions defined on the product of Ricci-flat spaces in D= 11 supergravity is presented. The paper contains some background information: (i) decomposition relations for SUSY equations and (ii) 2^{-k}-splitting theorem that explains the appearance of N = 2^{-k} fractional supersymmetries. Examples of M2 and M5 branes on the product of two Ricci-flat spaces are considered and formulae for (fractional) numbers of unbroken SUSY are obtained.

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V. D. Ivashchuk. 2000-12-29. On supersymmetric solutions in D = 11 supergravity with Ricci-flat internal spaces. https://arxiv.org/abs/hep-th/0012263

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