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Polyakov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.关键词：Green-Schwarz超弦κ-对称性')" href="#">κ-对称性AdS₅S⁵')" href="#">AdS₅S⁵AdS₅S¹')" href="#">AdS₅S¹

The K-symmetry of Green-Schwarz superstring in some typical background

The action of type IIB superstring in AdS₅S⁵ background given by Metsaev and Tseytlin(MT) can be reformulated in the Nambu-Goto form. For this form we give the new projection operator involving vielbeins in the target space to con-struct local κ-transformations which leave the action invariant. This new formulation of κ-symmetry(called target space form)is first suggested by Schwarz for the Green-Schwarz(GS) model. Due to the difference between GS model and MT model, our con-struction has some new aspects, which is applicable to all models similar to the MT model. An example is given for the AdS₅S¹ IIB superstring. We also study the κ-symmetry in target space form for the Polyakov model.