D1-D5系统散射的微观状态依赖性
Microstate Dependence of Scattering from the D1-D5 System
摘要：
本文研究了D_1-D_5系统（带电荷Q_1和Q_5）的不同微观态的区分问题，用一个由超引力探针组成的中心能量为E_0、宽度为ΔE的非相干光束进行散射。在有限R的轨道极限中，在对偶CFT描述中研究了散射，其中R是D1膜缠绕的圆的半径。当R（ΔE）>> 1时，吸收截面与微观态无关，与由朴素几何计算的半经典结果一致.对于较小的（ΔE），答案取决于特定的微观状态，我们对典型和非典型微观状态进行了研究。当1/R >> ΔE >>（平均能隙1/{R [sqrt（Q_1Q_5）]}）时，我们得到了对截面的超前修正的上界.对于一个典型的状态，边界与拉伸视界的面积成正比，[ \sqrt（Q_1 Q_5）]，直到[log（Q_1 Q_5）]项。当E_0 <<（ΔE）时，比例常数是一个与能量标度无关的纯数。用洛伦兹分布进行的数值计算表明，实际修正值与[sqrt（Q_1Q_5）]成正比，而不考虑对数因子。我们提供了一些猜测，如何这个结果可以是一致的解决方案的天真的几何更高的导数修正超引力。
英文摘要：
We investigate the question of distinguishing between different microstates of the D1-D5 system (with charges Q_1 and Q_5), by scattering with an incoherent beam, composed of a supergravity probe, with central energy E_0 and width (ΔE). The scattering is studied in the dual CFT description in the orbifold limit for finite R, where R is the radius of the circle on which the D1 branes are wrapped. When R(ΔE) >> 1, the absorption cross-section is found to be independent of the microstate and identical to the leading semiclassical answer computed from the naive geometry. For smaller (ΔE), the answer depends on the particular microstate, which we examine for both typical and atypical microstates. We derive an upper bound for the leading correction to the cross-section when 1/R >> ΔE >> (the average energy gap 1/{R [sqrt(Q_1Q_5)]}. For a typical state the bound is proportional to the area of the stretched horizon, [\sqrt(Q_1 Q_5)], up to [log (Q_1Q_5)] terms. Furthermore, when E_0 << (ΔE), the proportionality constant is a pure number independent of all energy scales. Numerical calculations using Lorentzian profiles show that the actual value of the correction is in fact proportional to [sqrt(Q_1Q_5)] without the logarithmic factor. We offer some speculations about how this result can be consistent with a resolution of the naive geometry by higher derivative corrections to supergravity.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
