Vector Fields in Holographic Cosmology
High Energy Physics - Theory
2014-01-16 v1 General Relativity and Quantum Cosmology
Abstract
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.
Cite
@article{arxiv.1305.7190,
title = {Vector Fields in Holographic Cosmology},
author = {James B. Hartle and S. W. Hawking and Thomas Hertog},
journal= {arXiv preprint arXiv:1305.7190},
year = {2014}
}
Comments
17 pages, 3 figs