论文标题

关于MacDowell-Mansouri Action中对称性破坏条件的评论

Comments on the symmetry breaking condition in MacDowell-Mansouri action

论文作者

Díaz-Saldaña, I., Sabido, M., López-Domínguez, J. C., Rosales-Quintero, J. E.

论文摘要

在这项工作中,我们研究了由(反)de Sitter值载体场给出的对称性破坏条件,该条件是完整的(反)Sitter-de Sitvariant MacDowell-Mansouri启发的动作。我们表明,在这种情况下,动作分解为宇宙常数,四个维拓扑不变的以及霍尔斯特术语。我们获得了此动作的运动方程,并分析对称性破坏条件。

In this work we study the symmetry breaking conditions, given by a (anti)de Sitter-valued vector field, of a full (anti)de Sitter-invariant MacDowell-Mansouri inspired action. We show that under these conditions the action breaks down to General Relativity with a cosmological constant, the four dimensional topological invariants, as well as the Holst term. We obtain the equations of motion of this action, and analyze the symmetry breaking conditions.

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