On excited states in real time Ads/CFT

G.A. SILVA; MARCELO BOTTA CANTCHEFF; PEDRO MARTINEZ

JOURNAL OF HIGH ENERGY PHYSICS - (Online)

Springer

Lugar: Trieste; Año: 2016 vol. 02 p. 1 - 23

1029-8479

The Skenderis-van Rees prescription, which allows the calculation of timeorderedcorrelation functions of local operators in CFT´s using holographic methods isstudied and applied for excited states. Calculation of correlators and matrix elements of local CFT operators between generic in/out states are carried out in global Lorentzian AdS. We nd the precise form of such states, obtain an holographic formula to compute the inner product between them, and using the consistency with other known prescriptions, we argue that the in/out excited states built according to the Skenderis-Van Rees prescription correspond to coherent states in the (large-N) AdS-Hilbert space. This is conrmed by explicit holographic computations. The outcome of this study has remarkable implicationson generalizing the Hartle-Hawking construction for wave functionals of excited states in AdS quantum gravity.