标题： 超对称弦配置在Ad$\mathbb{S}_5\times \mathbb{S}^5$ 显示英文标题

标题： Supersymmetric String Configurations in Ad$\mathbb{S}_5\times \mathbb{S}^5$

摘要： 在本工作中，我们研究了欧几里得 Ad$\mathbb{S}_5\times \mathbb{S}^5$背景中的非壳超对称弦配置。 通过使用纯旋量形式扩展 Green-Schwarz 超对称方程，我们证明了虽然 Green-Schwarz 方程的解必定是极小曲面，但扩展方程的解即使在固定边界条件的情况下也会形成无限维族，从而阻止了通过超对称局部化直接推导精确结果。 为了具体说明，我们选择了一个将非壳超对称配置局域化到 Ad$\mathbb{S}_4 \times \mathbb{S}^2$切片上的超荷，并观察到相应的作用泛函简化为一个二形式的积分。 显示英文摘要

摘要： In this work, we investigate off-shell supersymmetric string configurations in Euclidean Ad$\mathbb{S}_5\times \mathbb{S}^5$ background. By extending the Green-Schwarz supersymmetric equations using the pure spinor formalism, we demonstrate that while the solutions to the Green-Schwarz equations are necessarily minimal surfaces, the solutions to the extended equations form infinite-dimensional families, even with fixed boundary conditions, thus preventing direct derivations of exact results via supersymmetric localization. For concreteness, we have selected a supercharge that localizes the off-shell supersymmetric configurations to an Ad$\mathbb{S}_4 \times \mathbb{S}^2$ slice and observed that the corresponding action functional reduces to an integral of a two-form.