Color decorations of Jackiw-Teitelboim gravity

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) subset of 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.

Automated summary

This paper introduces the colored version of Jackiw-Teitelboim (JT) gravity, which is a two-dimensional dilaton gravity model with matrix-valued fields. It is formulated using the BF action with su(N, N) gauge algebra, and embeds the standard JT gravity as a su(1, 1) subset of the su(N, N) sector.