The supersymmetrization of curvature squared terms is important in the study of the low-energy limit of compactified superstrings where a distinguished role is played by the Gauss-Bonnet combination, which is ghost-free. In this Letter, we construct its off-shell $\mathcal{N}=(1,0)$ supersymmetrization in six dimensions for the first time. By studying this invariant together with the supersymmetric Einstein-Hilbert term, we confirm and extend known results of the ${\alpha }^{\prime }$-corrected string theory compactified to six dimensions. Finally, we analyze the spectrum about the ${\text{AdS}}_3\times S^3$ solution.

中文翻译：

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六个维度的高斯-邦内特超重力

曲率平方项的超对称化在研究压实超弦的低能量极限方面很重要，在该超弦中，高斯-邦纳特组合起到了显着作用，该组合无鬼影。在这封信中，我们构造了它的外壳$\mathcal{ñ}=（\mathrm{1个}，0）$首次在六个维度上进行超对称化。通过研究这个不变量和超对称爱因斯坦-希尔伯特项，我们确认并扩展了已知的结果。${\alpha }^{\prime }$校正的弦理论被压缩为六个维度。最后，我们分析有关${\text{广告}}_3\times {\mathrm{小号}}^3$ 解决方案。