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