All Higher Genus BPS Membranes in the Plane Wave Background

Details All Higher Genus BPS Membranes in the Plane Wave Background All Higher Genus BPS Membranes in the Plane Wave Background

2005-01-25

arxiv.org/abs/hep-th/0501202v3

JHEP 0506 (2005) 035

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, 5 figures, references, comments added

Scientific paper

10.1088/1126-6708/2005/06/035

We consider supermembranes in the maximally supersymmetric plane wave geometry of the eleven dimensions and construct complete solutions of the continuum version of the 1/4 BPS equations. The supermembranes may have an arbitrary number of holes and arbitrary cross sectional shapes. In the matrix regularized version, we solve the matrix equations for several simple cases including fuzzy torus. In addition, we show that these solutions are trivially generalized to 1/8 and 1/16 BPS configuations.

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