论文标题
SuperString集成性的Chern-Simons起源
The Chern-Simons Origin of Superstring Integrability
论文作者
论文摘要
我们从四维的beltrami-chern-simons理论中得出了广告$ {} _ 5 \ times $ s $ {}^5 $ green-schwarz SuperString。在这种构造中，可集成超串的LAX连接和光谱参数在四个维度上具有简单的几何来源，作为量规连接和还原坐标。 Kappa对称是作为某种类别的单量规变换而产生的，而世界表格指标来自改变复杂的结构的Beltrami差异。我们的方法提供了使用传统现场理论方法研究可综合全息图的可能性。
We derive the AdS${}_5\times$S${}^5$ Green-Schwarz superstring from four-dimensional Beltrami-Chern-Simons theory reduced on a manifold with singular boundary conditions. In this construction, the Lax connection and spectral parameter of the integrable superstring have a simple geometric origin in four dimensions as gauge connection and reduction coordinate. Kappa symmetry arises as a certain class of singular gauge transformations, while the worldsheet metric comes from complex-structure-changing Beltrami differentials. Our approach offers the possibility of investigating integrable holography using traditional field theory methods.
