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arXiv · 0909.4269

Tensionless supersymmetric M2 branes in $AdS_4 \times S^7$ and Giant Diabolo

Jaume Lopez Carballo·Adrian R. Lugo·Jorge G. Russo
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Abstract

We find various supersymmetric configurations of toroidal M2 brane solutions in $\AdS_4 \times S^7$ or, more generally, in $\AdS_4 \times S^7/Z_k$. In this class we identify solutions preserving 1/4 and 1/8 supersymmetries of the background. The supersymmetric M2 branes have angular momenta and winding on $S^7$, and null world-volumes. In certain cases they collapse to string-like configurations. These configurations can be viewed as a higher-dimensional (membrane) analog of BMN states. We compute the energy and angular momenta, showing that all supersymmetric configurations obey the BPS relation $E=J/R $,\ $J= \sum_{i=1}^4 |J_i|$ with $E, J\to \infty $. Finally, we also study another class of supersymmetric M2-branes, including uncompact rotating membranes of "diabolo" shape.

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Jaume Lopez Carballo, Adrian R. Lugo, Jorge G. Russo. 2009-09-23. Tensionless supersymmetric M2 branes in $AdS_4 \times S^7$ and Giant Diabolo. https://doi.org/10.1088/1126-6708/2009/11/118

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