内部解析、拉伸技术与鼓泡几何
Interior analysis, stretched technique and bubbling geometries
AI总结：
本文深入分析AdS渐近的四分之一BPS鼓泡几何，推导广义Laplace方程，探索含灰滴的拉伸技术，并研究构型粗粒化与辛形式。
摘要：
我们对具有AdS渐近行为的四分之一BPS鼓泡几何进行了详细分析，并探讨了其与量子场论侧面对偶态之间的对偶关系等方面。我们从线性化的Monge-Ampere方程推导出带源的广义Laplace型方程，并将其用于渐近AdS几何，从而能够获得特定于渐近AdS背景的解。我们对边界条件进行了彻底分析，并探索了拉伸技术，即在拉伸曲面上施加边界条件，这些边界条件包括灰滴。该拉伸技术自然用于superstar，我们在拉伸曲面上放置灰滴边界条件。我们还对构型进行了粗粒化处理，并分析了构型空间上的辛形式及其粗粒化。
英文摘要：
We perform a detailed analysis of quarter BPS bubbling geometries with AdS asymptotics and their corresponding duality relations with their dual states in the quantum field theory side, among other aspects. We derive generalized Laplace-type equations with sources, obtained from linearized Monge-Ampere equations, and used for asymptotically AdS geometry. This enables us to obtain solutions specific to the asymptotically AdS context. We conduct a thorough analysis of boundary conditions and explore the stretched technique where boundary conditions are imposed on a stretched surface. These boundary conditions include grey droplets. This stretched technique is naturally used for the superstar, where we place grey droplet boundary conditions on the stretched surface. We also perform a coarse-graining of configurations and analyze the symplectic forms on the configuration space and their coarse-graining.
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。
