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arXiv 1006.3753hep-thgr-qc
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Chern-Simons AdS超引力中的稳定p-膜

Stable p-branes in Chern-Simons AdS supergravities

Jose D. Edelstein, Alan Garbarz, Olivera Miskovic, Jorge Zanelli

摘要:

在任意奇数维D中构造了具有负宇宙学常数的静态余维2膜,并证明了它们是耦合到外源的(超)AdS的Chern-Simons(超)引力理论的精确解.这些解决方案的稳定性进行了分析,通过计数的数量保持超对称。证明了静态有质量(D-3)-膜是不稳定的,除非加入适当的规范场,并且膜是极值的。特别是,在三维空间中,0-膜被认为是BTZ黑洞的负质量对应物。对于这些0-膜,我们明确地写出了在OSp(p)中具有不同数量的保持超对称性的电磁荷BPS态|2)x OSp(q| 2)超群。在五维空间中,我们证明了一般超群SU(2,2)总是存在带电磁荷的稳定2-膜|N),其中N不同于4。对于N=4的特殊情况,其中CS超引力需要增加一个非平凡的规范场位形,以保持最大的自由度数,我们证明了两个不同的静态2-膜,它们是BPS态(其中之一是基态),并从相应的电荷代数,我们表明,能量是有界的从下面。在更高的维度,我们的结果承认一个简单的推广,虽然有可能有更多的解决方案对应于不同的基本对象的交叉点。

英文摘要:

We construct static codimension-two branes in any odd dimension D, with negative cosmological constant, and show that they are exact solutions of Chern-Simons (super)gravity theory for (super)AdS coupled to external sources. The stability of these solutions is analyzed by counting the number of preserved supersymmetries. It is shown that static massive (D-3)-branes are unstable unless some suitable gauge fields are added and the brane is extremal. In particular, in three dimensions, a 0-brane is recognized as the negative mass counterpart of the BTZ black hole. For these 0-branes, we write explicitly electromagnetically charged BPS states with various number of preserved supersymmetries within the OSp(p|2) x OSp(q|2) supergroups. In five dimensions, we prove that stable 2-branes with electromagnetic charge always exist for the generic supergroup SU(2,2|N), where N is different than 4. For the special case N=4, in which the CS supergravity requires the addition of a nontrivial gauge field configuration in order to preserve maximal number of degrees of freedom, we show for two different static 2-branes that they are BPS states (one of which is the ground state), and from the corresponding algebra of charges we show that the energy is bounded from below. In higher dimensions, our results admit a straightforward generalization, although there are presumably more solutions corresponding to different intersections of the elementary objects.

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