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arXiv · 1206.5231

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

Luis Apolo·Massimo Porrati
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Abstract

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.

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Luis Apolo, Massimo Porrati. 2012-09-03. Nonlinear Dynamics of Parity-Even Tricritical Gravity in Three and Four Dimensions. https://doi.org/10.1007/jhep08(2012)051

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