On complexity of Jackiw–Teitelboim gravity

Abstract

Using “complexity = action” proposal we compute complexity for Jackiw–Teitelboim gravity assuming that a UV cutoff enforces us to have a cutoff behind the horizon. We find that the resultant complexity exhibits the late time linear growth. It is also consistent with the case where the corresponding Jackiw–Teitelboim gravity is obtained by dimensional reduction from higher dimensional gravities. To this work certain counter term on the cutoff surface behind the horizon is needed.