Echoes of Symmetry: Unlocking Holographic Structures with Equidistribution
![The study demonstrates how applying the Hecke operator [latex]T_{16}[/latex] to the chiral [latex]c=1[/latex] boson’s torus partition function [latex]Z_{\text{boson}}(\tau)[/latex] effectively multiplies its effective central charge by sixteen, manifesting as a sixteen-fold increase in the winding number of divergences-particularly evident at [latex]q \to 1[/latex]-and illustrating a fundamental transformation of modular functions through operator application.](https://arxiv.org/html/2602.12265v1/x2.png)
A novel application of Hecke equidistribution to conformal field theories reveals simplified formulas and hints at a deeper connection between spectral data and the geometry of Anti-de Sitter space.








