Recently, imposing the gauge-symmetry and the T-duality constraints on the string frame effective actions of type II superstring theories at order ${\alpha }^{\prime 3}$, the NS-NS couplings have been found in a particular scheme which has 445 couplings in 15 different structures. In this paper, using a field redefinition, we write them in terms of 251 couplings which appear in 9 different structures. The 9 structures involve only Riemann curvature, $H_{\alpha \beta \mu }$ and ${\mathrm{\nabla }}_{\alpha }{H}_{\beta \mu \nu }$. The number of couplings in the structures $R^4$, $H^8$, $H^{6}R$, $H^4{R}^2$, $H^2{R}^3$ are 2, 2, 1, 7, 22, respectively, and the number of couplings in the structures ${(\mathrm{\nabla }H)}^4$, ${(\mathrm{\nabla }H)}^2{R}^2$, ${(\mathrm{\nabla }H)}^2{H}^4$, ${(\mathrm{\nabla }H)}^2{H}^{2}R$ are 12, 22, 77, 106, respectively. The new couplings are also fully consistent with the sphere-level S-matrix element of four NS-NS vertex operators.

最近，将规范对称性和 T 对偶性约束强加于 II 类超弦理论的弦坐标系有效作用 ${\alpha }^{\prime 3}$，NS-NS 耦合已在特定方案中发现，该方案具有 15 种不同结构的 445 个耦合。在本文中，使用领域重新定义，我们根据出现在 9 种不同结构中的 251 个耦合来编写它们。9个结构只涉及黎曼曲率，$H_{\alpha \beta \mu }$ 和 ${\mathrm{\nabla }}_{\alpha }{H}_{\beta \mu \nu }$. 结构中的联轴器数量${\mathrm{电阻}}^4$, $H^8$, $H^6\mathrm{电阻}$, $H^4{\mathrm{电阻}}^2$, $H^2{\mathrm{电阻}}^3$ 分别为 2, 2, 1, 7, 22，以及结构中的耦合数 ${(\mathrm{\nabla }H)}^4$, ${(\mathrm{\nabla }H)}^2{\mathrm{电阻}}^2$, ${(\mathrm{\nabla }H)}^2{H}^4$, ${(\mathrm{\nabla }H)}^2{H}^2\mathrm{电阻}$分别为 12、22、77、106。新的耦合也与四个 NS-NS 顶点算子的球体级 S 矩阵元素完全一致。