Schwarzian for colored Jackiw-Teitelboim gravity

Alkalaev, Konstantin; Joung, Euihun; Yoon, Junggi

doi:10.1007/JHEP09(2022)160

Schwarzian for colored Jackiw-Teitelboim gravity

Konstantin Alkalaev
(
- Lebedev Inst. and
- ITMP, Moscow
)
,
Euihun Joung
(
- Kyung Hee U.
)
,
Junggi Yoon
(
- APCTP, Pohang and
- POSTECH and
- Korea Inst. Advanced Study, Seoul
)

Apr 19, 2022

45 pages

Published in:

JHEP 09 (2022) 160

Published: Sep 20, 2022

e-Print:

2204.09010 [hep-th]

DOI:

10.1007/JHEP09(2022)160

View in:

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Abstract: (Springer)

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.

Note:

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

2D Gravity
Models of Quantum Gravity
Space-Time Symmetries
Field Theories in Lower Dimensions
symmetry: gauge
gravitation
color
SU(N,N)
chaos
effective action

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