AI 中文总结
该研究探讨带表观奇点的全息波动方程与谱函数，通过内外匹配计算分析表观奇点趋近边界的情况，发现其合并边界会生成谱函数的零点或极点，且全息乘积公式在该情形仍适用。
AI 中文摘要
我们研究带有表观奇点的一般全息波动方程及相关谱函数，考虑表观奇点趋近边界的区域，此时可通过内外匹配型计算确定解的近边界行为。根据方程性质，我们发现表观奇点与边界的合并可能在对应谱函数中生成零点或极点，结果表明新近提出的全息乘积公式在存在表观奇点时仍适用。
英文摘要
We study general holographic fluctuation equations with apparent singularities, and the associated spectral functions. We consider the regime where an apparent singularity approaches the boundary, for which the near-boundary behavior of solutions can be determined via an inner/outer matching type of calculation. Depending on properties of the equation, we find that the merging of an apparent singularity with the boundary may generate either a zero or a pole for the corresponding spectral function. Our results also indicate that the recently introduced holographic product formula still applies in the presence of apparent singularities.
Comments29 pages + appendix; 1 figure
