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arXiv 0909.4269hep-th
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$AdS_4 \times S^7$和Giant Diabolo中的无张力超对称M2膜

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

Jaume Lopez Carballo, Adrian R. Lugo, Jorge G. Russo

摘要:

我们发现各种超对称配置的环形M2膜的解决方案在$\AdS_4 \times S^7$,或更一般地说,在$\AdS_4 \times S^7/Z_k$。在这门课中,我们确定的解决方案保持1/4和1/8超对称的背景。超对称的M2膜具有角动量和绕在$S^7$上,以及零世界体积。在某些情况下,它们会塌缩成弦状结构。这些配置可以被看作是一个更高的维度(膜)模拟BMN状态。计算了超对称组态的能量和角动量,表明所有超对称组态都服从BPS关系$E=J/R $,\ $J= \sum_{i=1}^4 |J_i|$ with $E, J\to \infty $ .最后,我们还研究了另一类超对称M2-膜,包括非紧的“空竹”形旋转膜。

英文摘要:

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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