2014/08/08 by Kurt Hinterbichler, James Stokes, Mark Trodden
Mathematics · Physics and Astronomy · #Anti-de Sitter space #Black Holes and Theoretical Physics #Conformal anomaly #Conformal field theory #Conformal map #Conformal symmetry #Cosmology and Gravitation Theories #De Sitter space #De Sitter universe #Galaxies: Formation, Evolution, Phenomena #Geometry #Homogeneous space #Inflation (cosmology) #Mathematical physics #Mathematics #Physics #Quantum mechanics #Scalar (mathematics) #Scalar field #Theoretical physics #Universe #gr-qc #hep-th
paper · pdf · doi:10.1007/jhep01(2015)090
published as JHEP 01 (2015) 090 · 24 pages, 2 figures
arxiv created 2014/08/08 · openalex publication_date 2015/01/01 · arxiv updated 2015/02/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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).