Color decorations of Jackiw-Teitelboim gravity
K.B. Alkalaev, Euihun Joung, Junggi Yoon

TL;DR
This paper extends Jackiw-Teitelboim gravity to a colored version with matrix-valued fields, formulated via BF action with $su(N,N)$ gauge algebra, introducing new non-Abelian and matrix-valued fields and interactions.
Contribution
The paper introduces a colored JT gravity model with matrix-valued fields, formulated through a BF action with $su(N,N)$ gauge algebra, embedding standard JT gravity as a special case.
Findings
Formulation of colored JT gravity via BF action with $su(N,N)$ algebra.
Inclusion of $su(N)$ non-Abelian fields and matrix-valued metric and dilaton.
Interactions governed by minimal couplings and cubic/quartic potential terms.
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 gauge algebra so that the standard JT gravity is embedded as subsector. We also elaborate on the respective metric formulation which is shown to involve the JT fields plus non-Abelian fields as well as -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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