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

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

2009-09-23

arxiv.org/abs/0909.4269v2

JHEP 0911:118,2009

Physics

High Energy Physics

High Energy Physics - Theory

27 pages, 3 figures. Small corrections

Scientific paper

10.1088/1126-6708/2009/11/118

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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