Alpha states demystified — towards microscopic models of AdS2 holography

We continue our study of factorizing theories dilaton gravity, characterized by a universal bilocal interaction. All such can be shown to have discrete spectra, distinguished only their local potentials. show how used construct all alpha-states in the Hilbert space baby universes ordinary JT gravity. Large classes these with different potentials are found non-perturbatively equivalent and identical spectra. This is concrete example bulk descriptions give rise same boundary theory. Such equivalences manifest themselves as null states, which quotiented out order proper universe space. Our results also allow us revisit mechanism discussed Coleman, Giddings, Strominger, concretely link ensemble averaging appearance or disappearance spacetime wormholes. then investigate gravity deformed In this theory, terms that do not cancel topological expansion disks, capture perturbative fluctuations around two-dimensional black hole saddle. find theory holes has an evenly spaced spectrum, instead quantum chaotic one. present dual mechanical system exactly propose new holographic duality between conventional mechanics.