On the explicit asymptotic symmetry breaking of sl(3,R) Jackiw–Teitelboim gravity

This study investigates the asymptotic symmetry algebras (ASA) of Jackiw–Teitelboim (JT) gravity within the framework of sl(3,R) symmetry. By explicitly constructing this algebra, we explore how the presence of the dilaton field influences the structure of asymptotic symmetries and symmetry breaking mechanisms at the AdS2 boundary. For the sl(3,R) model, the dilaton field preserves a subset of the complete W3-symmetry, restricting the algebra to sl(3,R). These results provide deeper insights into the role of dilaton dynamics in holographic dualities, with implications for the thermodynamics and geometry of AdS2. The findings pave the way for systematically exploring extended gauge symmetries in two-dimensional gravity and their relevance to higher-rank Lie algebras.