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arXiv 0910.1470hep-th
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由Chern-Simons引力导出偶维拓扑引力

Even-dimensional topological gravity from Chern-Simons gravity

Nelson Merino, Alfredo Perez, Patricio Salgado

摘要:

证明了2n维引力的拓扑作用量可以由2n+1维Chern-Simons引力在Poincare群下的真不变量得到。在适当的边界条件下,用2n+1维Chern-Simons引力理论的边界动力学描述了2n维拓扑引力.场$ϕ^{a}$是在偶数维中构造这种拓扑引力所必需的,它与庞加莱群ISO(d-1,1)的非线性实现相关的陪集场相一致。

英文摘要:

It is shown that the topological action for gravity in 2n-dimensions can be obtained from the 2n+1-dimensional Chern-Simons gravity genuinely invariant under the Poincare group. The 2n-dimensional topological gravity is described by the dynamics of the boundary of a 2n+1-dimensional Chern-Simons gravity theory with suitable boundary conditions. The field $ϕ^{a}$, which is necessary to construct this type of topological gravity in even dimensions, is identified with the coset field associated with the non-linear realizations of the Poincare group ISO(d-1,1).

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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