中国物理B ›› 2008, Vol. 17 ›› Issue (11): 4153-4157.doi: 10.1088/1674-1056/17/11/032
岳瑞宏1, 解小宁2
Xie Xiao-Ning (解小宁)ac, Yue Rui-Hong (岳瑞宏)bc
摘要: This paper considers classical strings propagating in $\gamma$-deformed $AdS_3\times S^3$ backgrounds generated by certain shift T-dualities accompanied (TsT) transformations on $S^3$ and $AdS_3$, respectively. It finds that the $U(1)$ currents of strings with the twisted boundary conditions are equal to those in $\gamma$-deformed backgrounds generated by TsT transformations on both $S^3$ and $AdS_3$. Applying the TsT transformations, it derives the local Lax connections and the monodromy matrices in $\gamma$-deformed backgrounds with the spectral parameter which ensure the classical integrability of the string theories.
中图分类号: (Strings and branes)