论文标题
jackiw-teitelboim重力的非相关主义和卡洛利亚限制
Non-relativistic and Carrollian limits of Jackiw-Teitelboim gravity
论文作者
论文摘要
我们构建了jackiw-teitelboim重力的非权利主义和卡洛利亚版本。在第二阶配方中，非权利主义和卡洛利亚限制中没有分歧。取而代之的是，在一阶形式主义中，可以从相对论的BF理论开始，从（a）ds2 $ \ times \ mathbb {r} $ gauge代数开始，可以避免差异。我们展示了如何使用非线性实现方法和合适的逆HigGS约束来定义重力动作的边界双重二元。特别是，以这种方式构建了Schwarzian动作的非相关版本。我们得出了该理论的渐近对称性，以及相应的保守电荷和牛顿 - 卡丹的几何结构。最后，我们展示了相同的结构如何适用于卡洛利亚案件。
We construct the non-relativistic and Carrollian versions of Jackiw-Teitelboim gravity. In the second order formulation, there are no divergences in the non-relativistic and Carrollian limits. Instead, in the first order formalism there are divergences that can be avoided by starting from a relativistic BF theory with (A)dS2$\times\mathbb{R}$ gauge algebra. We show how to define the boundary duals of the gravity actions using the method of non-linear realisations and suitable Inverse Higgs constraints. In particular, the non-relativistic version of the Schwarzian action is constructed in this way. We derive the asymptotic symmetries of the theory, as well as the corresponding conserved charges and Newton-Cartan geometric structure. Finally, we show how the same construction applies to the Carrollian case.
