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arXiv · 1109.4458

A Complete Classification of Higher Derivative Gravity in 3D and Criticality in 4D

Nobuyoshi Ohta
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Abstract

We study the condition that the theory is unitary and stable in three-dimensional gravity with most general quadratic curvature, Lorentz-Chern-Simons and cosmological terms. We provide the complete classification of the unitary theories around flat Minkowski and (anti-)de Sitter spacetimes. The analysis is performed by examining the quadratic fluctuations around these classical vacua. We also discuss how to understand critical condition for four-dimensional theories at the Lagrangian level.

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Nobuyoshi Ohta. 2011-12-03. A Complete Classification of Higher Derivative Gravity in 3D and Criticality in 4D. https://doi.org/10.1088/0264-9381%2F29%2F1%2F015002

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