我们可见的光：从弱雅可比形式中提取黑洞
The light we can see: Extracting black holes from weak Jacobi forms
AI总结：
该研究通过交叉核分析弱雅可比形式的傅里叶系数，探究轻态约束对重态渐近增长的影响，验证了类Cardy主导增长的稳健性，量化了次主导修正的印记，并应用于BPS黑洞熵的微观解释。
摘要：
我们量化了轻态约束如何影响弱雅可比形式中重态的渐近增长。我们考虑的约束是这些形式的傅里叶系数的稀疏性条件，这是将其解释为引力路径积分的必要条件。利用交叉核，我们提取了这些系数的主导和次主导行为，并证明主导的类Cardy增长在广泛的有效范围内是稳健的。另一方面，我们发现次主导修正对施加在轻态上的约束很敏感，并且我们量化了它们在态的渐近增长上的印记。我们用对称乘积轨形的生成函数检验了我们的方法，对其傅里叶系数渐近增长的贡献因子给出了新的见解。最后，我们用我们的方法重新审视了将黑洞微观态计数与模形式联系起来的UV/IR关联。我们对四维和五维N=2、4非规范超引力中BPS黑洞熵的对数修正给出了微观解释，并将其与AdS₃/CFT₂中的自洽条件联系起来。
英文摘要：
We quantify how constraints on light states affect the asymptotic growth of heavy states in weak Jacobi forms. The constraints we consider are sparseness conditions on the Fourier coefficients of these forms, which are necessary to interpret them as gravitational path integrals. Using crossing kernels, we extract the leading and subleading behavior of these coefficients and show that the leading Cardy-like growth is robust in a wide regime of validity. On the other hand, we find that subleading corrections are sensitive to the constraints placed on the light states, and we quantify their imprint on the asymptotic growth of states. Our approach is tested against the generating function of symmetric product orbifolds, where we provide new insights into the factors contributing to the asymptotic growth of their Fourier coefficients. Finally, we use our methods to revisit the UV/IR connection that relates black hole microstate counting to modular forms. We provide a microscopic interpretation of the logarithmic corrections to the entropy of BPS black holes in N = 2, 4 ungauged supergravity in four and five dimensions, and tie it to consistency conditions in AdS$_3$/CFT$_2$.
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。
