A complete classification of higher derivative gravity in 3D and criticality in 4D

A complete classification of higher derivative gravity in 3D and criticality in 4D
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DOI:
10.1088/0264-9381/29/1/015002
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发表时间:
2011-09
影响因子:
3.5
通讯作者:
N. Ohta
N. Ohta
中科院分区:
物理与天体物理3区
文献类型:
--
作者:
N. Ohta

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我们在具有最一般的二次曲率、Lorentz-Chern-Simons和宇宙学项的三维引力场中研究了该理论是么正的和稳定的条件。我们提供了围绕平坦闵可夫斯基和(反)德西特时空的酉理论的完整分类。分析是通过检查这些经典真空周围的二次波动。我们还讨论了如何理解在拉格朗日水平的四维理论的临界条件。
We study the condition that the theory is unitary and stable in three-dimensional gravity with the 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 the critical condition for four-dimensional theories at the Lagrangian level.