Asymptotic Isometry and Two Dimensional Anti-de Sitter Gravity
نویسنده
چکیده
In low dimensional gravity on anti-de sitter space there exists a possibility that the asymptotic isometry is raised to a Virasoro symmetry living at spatial infinity. We discuss in detail asymptotic isometry of the most general anti-de sitter dilaton gravity in two dimensions. From analysis of the boundary dynamics it turns out that the Virasoro symmetry is not preserved in all the models. Moreover even anti-de sitter isomery cannot survive and asymptotic isometry consists of only time translation for all the models except Jackiw-Teitelboim (JT) model. Meanwhile there exists a hybride nonsinglet representation of the isometry in JT model.
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