Schwarzian for colored Jackiw-Teitelboim gravity

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-AdS${}_2$ geometry is introduced where the color gauge symmetry is spontaneously broken.

40 pages + appendix; v2 minor corrections, reference added; v3 minor correction, published version

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Cited by in corpus (1)

• Color decorations of Jackiw-Teitelboim gravity