Mielke-Baekler gravity consists in the usual Einstein-Hilbert action with a cosmological term and rotational and translational Chern-Simons terms with arbitrary couplings. For a particular choice of these couplings, we can obtain Einstein-Hilbert action, its teleparallel equivalent, and the exotic Witten's gravity. In this work, we use the Chern-Simons formalism to generalize the three dimensional Mielke-Baekler gravity theory in order to introduce spin-3 fields. We study its asymptotic symmetries, black hole solution, and also analyse its canonical structure at its singular point.

中文翻译：

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Mielke-Baekler 引力中的自旋 3 场

Mielke-Baekler 引力包括通常的爱因斯坦-希尔伯特作用与宇宙学术语和旋转和平移陈-西蒙斯术语与任意耦合。对于这些耦合的特定选择，我们可以获得爱因斯坦-希尔伯特作用、其远平行等价物和奇异的威腾引力。在这项工作中，我们使用陈 - 西蒙斯形式主义来推广三维 Mielke-Baekler 引力理论，以引入自旋 3 场。我们研究它的渐近对称性、黑洞解，并分析其奇异点的规范结构。