AdS_3×S^3弦的可积性

Integrability of AdS_3×S^3 Superstring

从Rahmfeld和Rajaraman构造的在AdS3×S3背景中具有κ对称的GS弦的作用量出发,推导出 AdS3×S3弦的运动方程,然后利用连续的扭曲对偶变换构造了带有自由参数λ的平联络,利用这些平联络可进一步得到无穷多守恒量,说明此系统是可积的．

From the κ symmetric action of IIB string in AdS3 × S^3 background given by Rahmfeld and Rajaraman, we derive the equations of motion. Then using the twisted dual transformation which was introduced by Hou et al. We construct the flat currents, and hence conserved non-local charge with one free parameter, for the Green-Schwarz superstring in AdS3 × S^3. Thus we show the AdS3 × S^3 string is integrable.