Vector Fields in Holographic Cosmology

Understand

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.