Title: Heterotic compactifications on nearly Kähler manifolds Show Chinese title

Title: 近凯勒流形上的异质紧化

Abstract: We consider compactifications of heterotic supergravity on anti-de Sitter space, with a six-dimensional nearly K"ahler manifold as the internal space. Completing the model proposed by Frey and Lippert with the particular choice of SU(3)/U(1)xU(1) for the internal manifold, we show that it satisfies not only the supersymmetry constraints but also the equations of motion with string corrections of order alpha'. Furthermore, we present a non-supersymmetric model. In both solutions we find confirmed a recent result of Ivanov on the connection used for anomaly cancellation. Interestingly, the volume of the internal space is fixed by the supersymmetry constraints and/or the equations of motion. Show Chinese abstract

Abstract: 我们研究了反德西特空间上异质超引力的紧致化问题，其中内部空间为六维近凯勒流形。 通过在内部流形中选择 SU(3)/U(1)xU(1)，完善了 Frey 和 Lippert 提出的模型，我们证明它不仅满足超对称性约束，还满足包括 α' 级别弦修正在内的运动方程。 此外，我们提出一个非超对称模型。 在这两个解中，我们都验证了 Ivanov 关于用于消除异常的联络的最近结果。 有趣的是，内部空间的体积由超对称性约束和/或运动方程所固定。