Supergroup structure of Jackiw-Teitelboim supergravity

A bstract We develop the gauge theory formulation of $$ \mathcal{N} N = 1 Jackiw-Teitelboim supergravity in terms underlying OSp(1|2 , ℝ) supergroup, focusing on boundary dynamics and exact structure gravitational amplitudes. prove that BF description reduces to a super-Schwarzian quantum mechanics holographic boundary, where boundary-anchored Wilson lines map bilocal operators theory. classification defects monodromies is carried out interpreted character insertions bulk. From mathematical perspective, we construct principal series representations show whereas corresponding Plancherel measure does not match density states JT supergravity, restriction positive subsemigroup OSp + (1|2 yields correct states, mirroring analogous results for bosonic gravity. illustrate these with several applications, particular computing late-time complexity growth supergravity.