Tensionless supersymmetric M2 branes in $Ad{S}_4\times S^7$ and Giant Diabolo

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.

27 pages, 3 figures. Small corrections

References in corpus (3)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Neumann and Neumann-Rosochatius integrable systems from membranes on AdS_4xS^7
• Quantum strings in AdS5 x S5 and AdS/CFT duality

Cited by in corpus (2)

• S^2 x S^3 geometries in ABJM and giant gravitons
• A D2-brane in the Penrose limits of AdS(4)x CP(3)