Phases of little string theory and fuzzballs

<!--HTML-->Resolved A-type singularities admit an exact description in worldsheet string theory that regularises the linear dilaton throat dual to little string theory. A generalisation of this mechanism offers a weakly coupled description of “fuzzball” states in the Hilbert space of two and three-charge black holes. These constructions reveal stringy excitations that become light at the threshold of horizon formation and provide a glimpse of the entropic long string sector in the gravity regime. A unifying twelve dimensional description of black hole microstates emerges.