Color decorations of Jackiw-Teitelboim gravity
Apr 21, 2022
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Abstract: (Springer)
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.Note:
- 16 pages + appendix; v2 minor corrections, references added, published version
- 2D Gravity
- Models of Quantum Gravity
- Space-Time Symmetries
- gravitation: model
- algebra: gauge
- coupling: minimal
- dimension: 2
- gravitation: dilaton
- color
- nonabelian
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