标题： 带有扩展超对称性的世界面 显示英文标题

标题： Worldsheets with Extended Supersymmetry

摘要： 我们确定了描述具有任意秩的局部超对称性世界面的规范对称性方程$(N,N')$，以及它们可能的异常。 左右扇区的经典和鬼数共形不变多重态被组合成一个单个的$O(N)$超场的组成部分。 该超场中鬼数为零的组成部分是$N$超对称性的 Beltrami 微分推广。 在拉格朗日方法中，经过规范固定后，它成为与秩为$N$的局部超对称性耦合的黎曼曲面的超模空间。 它也是由普通算符乘积技术导出的所有线性超共形电流的来源。 通过直接的代数考虑，展示了具有不同值的$N\geq 3$的 BRST 不变作用量之间的相互联系，以及它们与耦合到拓扑 sigma 模型的拓扑 2D 引力的可能联系。 显示英文摘要

摘要： We determine the equations which govern the gauge symmetries of worldsheets with local supersymmetry of arbitrary rank $(N,N')$, and their possible anomalies. Both classical and ghost conformally invariant multiplets of the left or right sector are assembled into the components of a single $O(N)$-superfield. The component with ghost number zero of this superfield is the $N$-supersymmetric generalization of the Beltrami differential. In a Lagrangian approach, and after gauge-fixing, it becomes the super-moduli of Riemann surfaces coupled to local supersymmetry of rank $N$. It is also the source of all linear superconformal currents derived from ordinary operator product techniques. The interconnection between BRST invariant actions with different values of $N\geq 3$, and their possible link to topological 2D-gravity coupled to topological sigma models, are shown by straightforward algebraic considerations.