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

TL;DR

This paper discovers various supersymmetric M2 brane configurations in AdS4 x S7, including tensionless, null world-volume solutions with specific supersymmetry fractions, and analyzes their energy, angular momentum, and BPS relations.

Contribution

It introduces new supersymmetric M2 brane solutions with null world-volumes and specific symmetries, expanding the understanding of membrane configurations in AdS spaces.

Findings

Supersymmetric M2 branes preserve 1/4 and 1/8 of background supersymmetry.

All configurations obey the BPS relation E=J/R with J=∑|J_i|.

Includes novel 'diabolo' shaped rotating membranes.

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.