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arXiv · 2204.09010

Schwarzian for colored Jackiw-Teitelboim gravity

K. B. Alkalaev·Euihun Joung·Junggi Yoon
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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.

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K. B. Alkalaev, Euihun Joung, Junggi Yoon. 2022-04-19. Schwarzian for colored Jackiw-Teitelboim gravity. https://doi.org/10.1007/jhep09(2022)160

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