Scalar field in ${\mathrm{AdS}}_2$ and representations of $\widetilde{\mathrm{SL}}(2,\mathbb{R})$

Atsushi Higuchi, Lasse Schmieding, David Serrano Blanco

We study the solutions to the Klein-Gordon equation for the massive scalar field in the universal covering space of two-dimensional anti-de Sitter space. For certain values of the…