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arXiv 1206.5231hep-th
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三维和四维宇称偶三临界引力的非线性动力学

Nonlinear Dynamics of Parity-Even Tricritical Gravity in Three and Four Dimensions

Luis Apolo, Massimo Porrati

摘要:

最近提出的“多临界”高导数重力在反德西特空间进行对数表示的反德西特等距群。虽然一般非酉已经在二次,自由理论水平,在特殊情况下,这些理论承认一个酉子空间。这种行为的最简单的例子是“三临界”引力。本文将d = 3,4的宇称偶三临界引力的研究推广到一阶非线性。我们表明,将是酉子空间遭受线性化不稳定性,是不存在的完整的非线性理论。

英文摘要:

Recently proposed "multicritical" higher-derivative gravities in Anti de Sitter space carry logarithmic representations of the Anti de Sitter isometry group. While generically non-unitary already at the quadratic, free-theory level, in special cases these theories admit a unitary subspace. The simplest example of such behavior is "tricritical" gravity. In this paper, we extend the study of parity-even tricritical gravity in d = 3, 4 to the first nonlinear order. We show that the would-be unitary subspace suffers from a linearization instability and is absent in the full non-linear theory.

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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