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arXiv 2001.00606hep-thgr-qc
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超对称可穿越虫洞

Supersymmetric traversable wormholes

Andres Anabalon, Bernard de Wit, Julio Oliva

摘要:

研究了纯规范$N\!=\!2$超引力中有无电磁场时的可穿越虫洞解,这些解在$\mathrm{SO}(2,1)\!\times\!\mathrm{SO}(1,1)$下是局部等距的。该模型允许1/2-BPS虫洞的解决方案,其相应的全球定义的Killing旋量。一个不可收缩的圈可以通过紧化一个坐标而得到,这使得剩余超对称性不受影响,等距群现在是全局的$\mathrm{SO}(2,1)\!\times\!\mathrm{SO}(2)$。虫洞连接两个渐近的,局部$\mathrm{AdS}_4$区域,并依赖于某些电和磁电荷参数,并隐含地,在喉周围的紧凑的坐标范围。我们提供了一个分析的时空的边界,并表明它可以是断开或不断开,这取决于在度量参数的值。最后,我们展示了这些时空如何避免拓扑审查定理。

英文摘要:

We study traversable wormhole solutions in pure gauged $N\!=\!2$ supergravity with and without electromagnetic fields, which are locally isometric under $\mathrm{SO}(2,1)\!\times\!\mathrm{SO}(1,1)$. The model allows for 1/2-BPS wormhole solutions whose corresponding globally defined Killing spinors are presented. A non-contractible cycle can be obtained by compactifying one of the coordinates which leaves the residual supersymmetry unaffected, the isometry group is now globally $\mathrm{SO}(2,1)\!\times\!\mathrm{SO}(2)$. The wormholes connect two asymptotic, locally $\mathrm{AdS}_4$ regions and depend on certain electric and magnetic charge parameters and, implicitly, on the range of the compact coordinate around the throat. We provide an analysis of the boundary of the spacetime and show that it can be either disconnected or not, depending on the values of the parameters in the metric. Finally, we show how that these space-times avoid a topological censorship theorem.

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