弦星、小黑洞与超对称指数
String stars, small black holes, and the supersymmetric index
中文总结 AI 辅助
该研究探讨角速度趋近超对称指数βΩ=2πi时的黑洞-弦转变，在两种弦理论中分别提出新的高温描述并发现弦星解，指出转变与BPS两荷黑洞存在间的张力。
中文摘要 AI 辅助
我们讨论当角速度趋近于超对称指数βΩ=2πi时黑洞-弦转变的相关问题。在此极限下，高温的Atick-Witten有效描述失效。对于杂化弦理论，在指数附近会出现一种新的高温描述，形式为带磁场分布的希格斯化SU(2)_L×U(1)_R超引力。由于背景磁场的存在，理论中的Hagedorn不稳定性表现为Ambjorn-Olesen W玻色子凝聚。对于II型弦理论，在指数附近一整卷绕弦塔变得很轻，这在T对偶图像中打开了一个新维度。在两种情况下，都发现了类似Horowitz-Polchinski解的弦星解，但在指数βΩ=2πi处退耦。考虑带电解时，弦星似乎在带电黑洞与自由弦相之间插值。在指数处，带电黑洞相与带电弦星相均退耦，这表明平滑的黑洞-弦转变与弦论BPS两荷黑洞的存在之间存在张力。
英文摘要
We discuss aspects of the black hole-string transition as the angular velocity approaches the supersymmetric index $βΩ= 2πi$. In this limit, the high-temperature Atick-Witten effective description breaks down. For Heterotic string theory, a new high-temperature description emerges near the index in terms of a Higgsed $SU(2)_L\times U(1)_R$ supergravity with a magnetic field profile. The Hagedorn instability manifests in the theory as Ambjorn-Olesen W boson condensation, due to the background magnetic field. For type II, a tower of winding strings becomes light near the index, which opens up a new dimension in the T-dual picture. In both cases, a string star solution is found, similar to the Horowitz-Polchinski solution, but decouples at the index $βΩ= 2πi$. Considering charged solutions, the string star appears to interpolate between charged black holes and the free string phase. At the index, both the charged black hole and the charged string star phases decouple. This suggests a tension between a smooth black hole-string transition and the existence of a stringy BPS two-charge black hole.
