论文标题
牛顿 - 卡丹$ D 0 $ branes来自$ d1 $ branes and Entigability
Newton-Cartan $ D 0$ branes from $ D1 $ branes and integrability
论文作者
论文摘要
我们探索了$ d1 $ branes探测4D相对论背景的分析性可集成性标准，并具有无效的等距方向。我们同时使用古典（非）集成性的Kovacic算法以及LAX连接的标准公式来显示关联的动力学配置的分析性集成性。我们进一步使用降低双重空的概念，并获得与扭转牛顿 - 卡丹（TNC）$ d0 $ brane相对应的世界体积动作，探测了3D扭转牛顿 - 卡坦几何形状。此外，按照科瓦奇的方法，我们显示了TNC $ d0 $ brane配置的经典集成性。最后，考虑到$ d1 $ brane world-volume fields的微不足道的字段重新定义，我们在消失的NS通量存在下显示了两种配置之间的等效性。
We explore analytic integrability criteria for $ D1 $ branes probing 4D relativistic background with a null isometry direction. We use both the Kovacic's algorithm of classical (non)integrability as well as the standard formulation of Lax connections to show the analytic integrability of the associated dynamical configuration. We further use the notion of double null reduction and obtain the world-volume action corresponding to a torsional Newton-Cartan (TNC) $ D0 $ brane probing a 3D torsional Newton-Cartan geometry. Moreover, following Kovacic's method, we show the classical integrability of the TNC $ D0 $ brane configuration thus obtained. Finally, considering a trivial field redefinition for the $ D1 $ brane world-volume fields, we show the equivalence between two configurations in the presence of vanishing NS fluxes.
