Pair-production of cusps on a string in AdS3

A bstract The classical motion of a Nambu-Goto string in AdS 3 spacetime is governed by the generalized sinh-Gordon equation. It can locally be reduced to (shG), cosh-Gordon (chG), or Liouville equation, depending on value scalar curvature induced metric. In this paper, I examine solutions that contain both shG-type and chG-type regions. boundary between these regions moves with speed light. show near such boundaries (generalized) solitons classically pair-produced. move subluminally (superluminally) shG (chG) region worldsheet, they correspond cusps string. direct energy cascade observed at moment pair-creation. For calculations, use an exact discretization equation motion. are segmented strings. discrete system, pair-production leads complete evaporation region. final state gas chG environment.