Abstract
We study the boundary effective action of the colored version of the Jackiw-Teitelboim (JT) gravity. We derive the boundary action, which is the color generalization of the Schwarzian action, from the su(N, N) BF formulation of the colored JT gravity. Using different types of the SU(N, N) group decompositions both the zero and finite temperature cases are elaborated. We provide the semi-classical perturbative analysis of the boundary action and discuss the instability of the spin-1 mode and its implication for the quantum chaos. A rainbow-AdS2 geometry is introduced where the color gauge symmetry is spontaneously broken.
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