Abstract
We construct a gravitational dual of the pseudo-conformal universe, a proposed alternative to inflation in which a conformal field theory in nearly flat space develops a time dependent vacuum expectation value. Constructing this dual amounts to finding five-dimensional domain-wall spacetimes with anti-de Sitter asymptotics, for which the wall has the symmetries of four-dimensional de Sitter space. This holographically realizes the characteristic symmetry breaking pattern so(2, 4) → so(1, 4) of the pseudo-conformal universe. We present an explicit example with a massless scalar field, using holographic renormalization to obtain general expressions for the renormalized scalar and stress-tensor one-point functions. We discuss the relationship between these solutions and those of four-dimensional holographic defect conformal field theories which break so(2, 4) → so(2, 3).
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Hinterbichler, K., Stokes, J. & Trodden, M. Holography for a non-inflationary early universe. J. High Energ. Phys. 2015, 90 (2015). https://doi.org/10.1007/JHEP01(2015)090
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DOI: https://doi.org/10.1007/JHEP01(2015)090