论文标题
CHL黑洞的离散信息的积极性
Positivity of discrete information for CHL black holes
论文作者
论文摘要
黑洞带有有关微晶格的更多信息，而不仅仅是全退化。作为一个具体的示例，CHL模型的1/4-BPS黑洞的Z（N）缠绕的螺旋痕量指标允许提取有关黑洞微晶体中Z（n）电荷分布的信息。在Z（n）缠绕组的发电机下携带明确特征值的黑洞微晶格的数量必须为正。这导致了Siegel模块化形式的傅立叶系数的某些线性组合的特定预测。我们明确测试了这些预测的低电荷。在D1-D5-P偶性框架中，我们计算了合适的头发删除分区功能，并显示了低电荷的适当傅立叶系数的阳性。我们对我们的计算进行各种一致性检查。
Black holes carry more information about the microstates than just the total degeneracy. As a concrete example, the Z(N)-twined helicity trace indices for 1/4-BPS black holes of the CHL models allow extracting information about the distribution of the Z(N) charges among the black hole microstates. The number of black hole microstates carrying a definite eigenvalue under the generator of the Z(N) twining group must be positive. This leads to a specific prediction for the signs of certain linear combinations of Fourier coefficients of Siegel modular forms. We explicitly test these predictions for low charges. In the D1-D5-P duality frame, we compute the appropriate hair removed partition functions and show the positivity of the appropriate Fourier coefficients for low charges. We present various consistency checks on our computations.
