Abstract
We introduce the colored version of Jackiw-Teitelboim (JT) gravity which is the two-dimensional dilaton gravity model with matrix-valued fields. It is straightforwardly formulated in terms of BF action with su(N, N) gauge algebra so that the standard JT gravity is embedded as su(1, 1) ⊂ su(N, N) subsector. We also elaborate on the respective metric formulation which is shown to involve the JT fields plus su(N) non-Abelian fields as well as su(N)-matrix valued metric and dilaton fields. Their interactions are governed by minimal couplings and potential terms of cubic and quartic orders involving derivatives.
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Alkalaev, K., Joung, E. & Yoon, J. Color decorations of Jackiw-Teitelboim gravity. J. High Energ. Phys. 2022, 286 (2022). https://doi.org/10.1007/JHEP08(2022)286
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DOI: https://doi.org/10.1007/JHEP08(2022)286