论文标题

超对称的对人,超弦和旋转虫洞

Supersymmetric Dyons, Superstrings, and Rotating Wormholes

论文作者

Olszewski, Edward A.

论文摘要

我们基于't Hooft/Polyakov Monopole构建超对称的Dyon溶液。我们表明,这些解决方案满足$κ$对称约束,因此可以推广到I型SO(32)字符串理论的超对称解。将T偶二元转换应用于这些解决方案后,我们获得了两个由虫洞连接的$ d3 $ branes,该蠕虫嵌入了M5 brane中。我们分析了两种情况下的每个$ d3 $ brane的几何形状,一种对应于带有旋转的dyon,另一个对应于具有非变化旋转的磁性单子。在旋转旋转的情况下,标量曲率是有限的,到处都是有限的,在不进行旋转的情况下,我们发现由于自旋而引起的框架拖动效应。我们还发现,标量曲率沿自旋量化轴差异,为$ 1/ρ^2 $,$ρ$是根据自旋轴定义的圆柱形,径向坐标。这些解决方案证明了阳米尔与重力相互作用之间的微妙关系,即仪表/重力双重性。

We construct supersymmetric dyon solutions based on the 't Hooft/Polyakov monopole. We show that these solutions satisfy $κ$ symmetry constraints and can, therefore be generalized to supersymmetric solutions of type I SO(32) string theory. After applying a T-duality transformation to these solutions, we obtain two $D3$-branes connected by a wormhole, embedded in an M5 brane. We analyze the geometries of each $D3$-brane for two cases, one corresponding to a dyon with vanishing spin, and the other corresponding to a magnetic monopole with non-vanishing spin. In the case of vanishing spin, the scalar curvature is finite, everywhere, In the case of non-vanishing spin, we find a frame dragging effect due to the spin. We also find that the scalar curvature diverges along the spin quantization axis, as $1/ρ^2$, $ρ$ being the cylindrical, radial coordinate defined with respect to the spin axis. These solutions demonstrate the subtle relationship between the Yang-Mills and gravitational interactions, i.e., gauge/gravity duality.

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