Journal of High Energy Physics

, 2013:201 | Cite as

Vector fields in holographic cosmology

  • James B.Hartle
  • S. W. Hawking
  • Thomas Hertog


We extend the holographic formulation of the semiclassical no-boundary wave function (NBWF) to models with Maxwell vector fields. It is shown that the familiar saddle points of the NBWF have a representation in which a regular, Euclidean asymptotic AdS geometry smoothly joins onto a Lorentzian asymptotically de Sitter universe through a complex transition region. The tree level probabilities of Lorentzian histories are fully specified by the action of the AdS region of the saddle points. The scalar and vector matter profiles in this region are complex from an AdS viewpoint, with universal asymptotic phases. The dual description of the semiclassical NBWF thus involves complex deformations of Euclidean CFTs.


Gauge-gravity correspondence AdS-CFT Correspondence 


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Copyright information

© SISSA, Trieste, Italy 2013

Authors and Affiliations

  1. 1.Department of PhysicsUniversity of CaliforniaSanta BarbaraU.S.A.
  2. 2.DAMTP, CMSUniversity of CambridgeCambridgeU.K.
  3. 3.Institute for Theoretical Physics, KU LeuvenLeuvenBelgium

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