标题： ADHM σ模型与$AdS_3$超弦的对称结构 显示英文标题

标题： Symmetry Structure of ADHM Sigma Models and $AdS_3$ Superstrings

摘要： 我们阐明了ADHM瞬子线性sigma模型的超对称结构、$N=4$超共形代数以及与超弦在$AdS_3$背景下运动相对偶的超共形场论，这基于我们在多项研究中的最新发现。 首先，我们收集了Witten原始的、Ali-Ilahi补充的以及Ali-Salih完整的ADHM瞬子线性sigma模型的(0, 4)超对称信息。 接着，我们收集了大、小和中型$N=4$超共形代数的信息，并总结它们与ADHM瞬子线性sigma模型之间的关系。 然后，我们论证了前者，即ADHM瞬子线性sigma模型的超对称性，在红外极限下流向后者，即小型、中型和大型$N=4$超共形对称性。 最后我们总结了这些$N=4$超共形对称性映射到与在带有${\mathcal M}^=K3, T^4$和$S^3\times S^1$的$AdS_3\times S^3\times {\mathcal M}^4$背景上运动的超弦对偶的超共形对称性的方法。 显示英文摘要

摘要： We clarify the supersymmetry structure of ADHM instanton linear sigma models, $N=4$ superconformal algebras and superconformal field theories dual to superstrings moving in $AdS_3$ backgrounds in view of some of our recent findings in various investigations. First of all we collect information about the (0, 4) supersymmetries of Witten's original, Ali-Ilahi's complementary and Ali-Salih's complete ADHM instanton linear sigma models. Then we collect information about large, small and middle $N=4$ superconformal algebras and summarize their interrelations with the ADHM instanton linear sigma models. We then argue that the former, that is the supersymmetry of the ADHM instanton linear sigma models, flows to latter, that is the small, middle and large $N=4$ superconformal symmetries, in the infrared limit. Finally we summarize the mapping of these $N=4$ superconformal symmetries onto the superconformal symmetries dual to superstrings moving on $AdS_3\times S^3\times {\mathcal M}^4$ backgrounds with ${\mathcal M}^=K3, T^4$ and $S^3\times S^1$.