4.4 Article

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

Journal

CLASSICAL AND QUANTUM GRAVITY
Volume 29, Issue 1, Pages -

Publisher

IOP PUBLISHING LTD
DOI: 10.1088/0264-9381/29/1/015002

Keywords

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Funding

  1. JSPS [20540283, 21 . 09225, 22244030]
  2. Grants-in-Aid for Scientific Research [22244030, 20540283, 09F09225] Funding Source: KAKEN

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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.

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