在我们考虑在 γ-deformed 广告3× S 3宣传的古典绳的这篇论文,背景在广告3部门上由 TsT 转变产生了,它被描述为这个组歧管 SL ( 2 , R ),然后,我们证明有扭曲的边界条件的绳的 U ( 1 )水流等于在 γ-deformed 背景的那些。用 TsT 转变,我们能在 γ-deformed 背景导出本地宽松的连接和 monodromy 矩阵与光谱参数,它保证绳理论的古典 integrability。
In this paper we consider classical strings propagating in γ-deformed AdS3 × S^3 backgrounds generated by TsT transformation on the AdS3 sector, which is described as the group manifold SL(2, R), then we prove that the U(1) currents of strings with the twisted boundary conditions are equal to those in γ-deformed backgrounds. Using TsT transformation, we can derive the local Lax connection and the monodromy matrix in γ-deformed backgrounds with the spectral parameter, which ensures the classical integrability of the string theories.