论文标题
$ \ MATHCAL {N} = 1 $ SUPERSYMMETRIC DOUBLED理论和广义的Kerr-Schild Ansatz
$\mathcal{N}=1$ Supersymmetric Double Field Theory and the generalized Kerr-Schild Ansatz
论文作者
论文摘要
我们在双场理论的通量公式中构造了$ \ Mathcal {n} = 1 $ supersymmetric的扩展。我们表明，只要不用广义的null矢量编写，Ansatz与$ \ Mathcal {n} = 1 $ supersymmetry兼容。超对称的一致性是通过一组条件获得的，这些条件暗示着广义的重力扰动和广义背景Dilaton和Dilatino的无限制扰动。作为最后一步，我们根据低能效率的$ 10 $二维杂项超级重力的场含量参数，我们发现$ 10 $维的Vielbein，Kalb-Ramond Field和Gravitino的扰动可以按预期的一对无效矢量写成。
We construct the $\mathcal{N} = 1$ supersymmetric extension of the generalized Kerr-Schild ansatz in the flux formulation of Double Field Theory. We show that this ansatz is compatible with $\mathcal{N} = 1$ supersymmetry as long as it is not written in terms of generalized null vectors. Supersymmetric consistency is obtained through a set of conditions that imply linearity of the generalized gravitino perturbation and unrestricted perturbations of the generalized background dilaton and dilatino. As a final step we parametrize the previous theory in terms of the field content of the low energy effective $10$-dimensional heterotic supergravity and we find that the perturbation of the $10$-dimensional vielbein, Kalb-Ramond field and gravitino can be written in terms of a pair of null vectors, as expected.
