几种典型背景中Green-Schwarz超弦的κ-对称性

Metsaev和Tseytlin(MT)给出的AdS5(×)S5背景中Green-Schwarz(GS)IIB超弦的Polakov作用量可以写成等价的Nambu-Goto形式.对于这种形式,给出了新的与靶空间的流有关的投影算子,并用其构造了使作用量不变的局域κ-变换.κ-对称性的这种新方案是由Schwarz对于GS模型提出的.由于MT模型与GS模型有所不同,文中所构造的局域κ-变换有一些新的特点,且适用于其他类似于MT模型的系统.文中分别以AdS5(×)S1背景中IIB弦及Polyakov新提出的模型为例,构造了κ-对称性的靶空间形式.     

sl（1｜2） Super-Toda Fields

Explicit exact solution of supersymmetric Toda fields associated with the Lie superalgebra s/（2｜ 1） is constructed. The approach used is a super extension of Leznov-Saveliev algebraic analysis, which is based on a pair of chiral and antichiral Drienfeld-Sokolov systems. Though such approach is well understood for Toda field theories associated with ordinary Lie algebras, its super analogue was only successful in the super Liouville case with the underlying Lie superalgebra osp（1｜2）. The problem lies in that a key step in the construction makes use of the tensor product decom- position of the highest weight representations of the underlying Lie superalgebra, which is not clear until recently. So our construction made in this paper presents a first explicit example of Leznov-Saveliev analysis for super Toda systems associated with underlying Lie superalgebras of the rank higher than 1.