论文标题
双场理论中的非利曼重力动作
Non-Riemannian gravity actions from double field theory
论文作者
论文摘要
非济曼引力理论提出了替代途径，以了解量子重力的特性，并提供一种具体的设置，以研究具有非权利性对称性的凝结物质系统。这些理论的行动原则的推导通常出于各种原因被证明是具有挑战性的。在此技术说明中，我们采用双层理论的表述来为各种此类理论构建行动。该公式有助于消除相应运动方程中的歧义。特别是，我们嵌入了扭转牛顿 - 卡丹重力，卡罗利亚重力和绳子牛顿 - 卡丹重力中的双场理论中，得出了它们的作用，并与先前获得的文献中获得的结果进行了比较。
Non-Riemannian gravitational theories suggest alternative avenues to understand properties of quantum gravity and provide a concrete setting to study condensed matter systems with non-relativistic symmetry. Derivation of an action principle for these theories generally proved challenging for various reasons. In this technical note, we employ the formulation of double field theory to construct actions for a variety of such theories. This formulation helps removing ambiguities in the corresponding equations of motion. In particular, we embed Torsional Newton-Cartan gravity, Carrollian gravity and String Newton-Cartan gravity in double field theory, derive their actions and compare with the previously obtained results in literature.
