AdS$_2$ Holography: Mind the Cap

Understand

AdS$_2$ plays an extremely important role in black-hole physics.

• We construct several infinite families of supergravity solutions that are asymptotically AdS$_2$ in the UV, and terminate in the IR with a cap that is singular in two dimensions but smooth in ten dimensions.
• These solutions break conformal invariance, and should correspond to supersymmetric ground states of a holographically dual CFT$_1$.
• We solve the free massless scalar wave equation on a family of these solutions, finding towers of finite-energy normalizable bound-state excitations.