String Theory seminar - Pedro J. Martinez Seminar

Abstract: I will present and describe the properties of a set of excited states of a finite temperature CFT via holographic methods. These excited states can be non-pertubately defined in both sides of the duality and turn out to be coherent excitations over the TFD vacuum in the large N limit, for which we can compute its eigenvalues. First, I will review the problems arising from a pure real-time formulation of AdS/CFT and how these can be solved in a complex-time formulation of the duality over Schwinger-Keldysh paths. This framework, known as Skenderis and van Rees prescription, will render the prescription for excited states natural. I will then build a geometry dual to a particular Schwinger-Keldysh path for a finite temperature formalism made out of Euclidean and Lorentzian pieces of AdS-BHs, which is an interesting problem on its own, regarding the analyticity of fields inside the bulk. This allows both to observe a real time version of the Hawking Page transition as well as to study the excited states at finite temperature.