模空间拉普拉斯算子、渐近几何与涌现弦猜想
Moduli-Space Laplacians, Asymptotic Geometry, and the Emergent String Conjecture
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中文总结 AI 辅助
研究量子引力真空模空间渐近极限下最轻粒子塔质量与模空间拉普拉斯算子本征函数的关系，通过涌现弦猜想量化本征值，还用多例子支持观点并关联其与瞬子谱。
中文摘要 AI 辅助
在量子引力真空模空间的渐近极限下，我们认为最轻粒子塔的质量是模空间拉普拉斯算子的本征函数。相关本征值由涌现弦猜想量化，并确定这些极限下轴子方向的指数衰减率。我们还将拉普拉斯算子本征值的量化与该理论的瞬子谱联系起来。我们用保留4到32个超对称荷的各种例子支持我们的观点。
英文摘要
At asymptotic limits of moduli spaces of quantum gravity vacua, we argue that the masses of the lightest particle towers are eigenfunctions of the moduli-space Laplacian. The associated eigenvalues are quantized by the Emergent String Conjecture and determine the exponential decay rates of axionic directions in these limits. We also connect the quantization of Laplacian eigenvalues to the spectrum of instantons for the theory. We support our claims with diverse examples that preserve between 4 and 32 supercharges.
