谱流与多中心解的谱
Spectral Flow, and the Spectrum of Multi-Center Solutions
摘要：
我们讨论了“谱流”坐标变换，采取渐近四维解决方案到其他渐近四维解决方案。我们发现，频谱流可以与平滑的三个电荷的解决方案与多中心的陶布-NUT基地的解决方案，其中一个或几个陶布-NUT中心被替换为两个电荷的超级管，反之亦然。我们进一步表明，多参数谱流可以映射到更奇异的中心，无论是D2-D 0或纯D 0-膜源这样的Taub-NUT中心。由于超导管可以依赖于任意函数，我们建立了光滑无水平黑洞微观态解的模空间是经典的无穷维。我们还利用超管的物理学来论证，一些从四维角度看似乎是束缚态的多中心解，当从五维或六维角度考虑时，实际上不是束缚态。
英文摘要：
We discuss "spectral flow" coordinate transformations that take asymptotically four-dimensional solutions into other asymptotically four-dimensional solutions. We find that spectral flow can relate smooth three-charge solutions with a multi-center Taub-NUT base to solutions where one or several Taub-NUT centers are replaced by two-charge supertubes, and vice versa. We further show that multi-parameter spectral flows can map such Taub-NUT centers to more singular centers that are either D2-D0 or pure D0-brane sources. Since supertubes can depend on arbitrary functions, we establish that the moduli space of smooth horizonless black hole microstate solutions is classically of infinite dimension. We also use the physics of supertubes to argue that some multi-center solutions that appear to be bound states from a four-dimensional perspective are in fact not bound states when considered from a five- or six-dimensional perspective.
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