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All Higher Genus BPS Membranes in the Plane Wave Background

Dongsu Bak·Seok Kim·Kimyeong Lee
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Abstract

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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Dongsu Bak, Seok Kim, Kimyeong Lee. 2005-05-15. All Higher Genus BPS Membranes in the Plane Wave Background. https://doi.org/10.1088/1126-6708%2F2005%2F06%2F035

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