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We study the condition that the theory is unitary and stable inthree-dimensional gravity with most general quadratic curvature,Lorentz-Chern-Simons and cosmological terms. We provide the completeclassification of the unitary theories around flat Minkowski and (anti-)deSitter spacetimes. The analysis is performed by examining the quadraticfluctuations around these classical vacua. We also discuss how to understandcritical condition for four-dimensional theories at the Lagrangian level.

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