We investigate the type IIA AdS(3) x S(3) x M(4) superstring with M(4)=S(3) x S(1) or M(4)=T(4). String theory in this background is interesting because of AdS3/CFT2 and its newly discovered integrable structures. We derive the kappa symmetry gauge-fixed Green-Schwarz string action to quadratic order in fermions and quartic order in fields utilizing a near BMN expansion. As a first consistency check of our results we show that the two point functions are one-loop finite in dimensional regularization. We then perform a Hamiltonian analysis where we compare the energy of string states with the predictions of a set of conjectured Bethe equations. While we find perfect agreement for single rank one sectors, we find that the product SU(2) x SU(2) sector does not match unless the Bethe equations decouple completely. We then calculate 2 to 2 bosonic tree-level scattering processes on the string worldsheet and show that the two-dimensional S-matrix is reflectionless. This might be important due to the presence of massless worldsheet excitations which are generally not described by the Bethe equations.

翻译：我们调查了IIA ADS(3) x S(3) x S(3) x M(4) 以 M(4) = S(3) x S(1) 或 M(4) = T(4) 的超级字符串类型 。 由于 ADS3/ FFT2 及其新发现的不可换结构, 本背景的字符串理论很有意思 。 我们用接近 BMN 的扩展, 在字段中将 kappa 的对称测量仪- 绿色- Schwarz 字符串动作转换为发酵和四边顺序 。 作为我们结果的第一次一致性检查, 我们发现两个点函数在维度正规化中是一对一的。 然后我们进行汉密尔顿式分析, 将字符串状态的能量与一组直方方方形的预测进行比较。 虽然我们为单级的区划找到完全一致, 我们发现产品SU(2) x SU(2) 区划不匹配, 除非 Bethe 等方程式完全脱色。 我们随后计算了弦世界表上的2到 2 boson 树级散过程, 并显示二维 Smatrix 是不可反射的。 。 这也许很重要, 是因为没有世界的方程式的方块的方程式的方程式。