<p>We study extremal codimension-two areas and late-time bulk correlators between a pair of asymptotically de Sitter space universes connected through an Euclidean axion wormhole, in arbitrary dimensions. Assuming the validity of the de Sitter (dS)/conformal field theory (CFT) correspondence, we describe factorized Hilbert spaces for the putative boundary theories at <InlineEquation ID="IEq1"> <EquationSource Format="MATHML"><math display="inline"> <msup> <mi mathvariant="script">I</mi> <mo>+</mo> </msup> </math></EquationSource> <EquationSource Format="TEX">\( {\mathcal{I}}^{+} \)</EquationSource> </InlineEquation> in each of the universes based on the asymptotically dS isometries. This allow us to we interpret the extremal areas as complex-valued holographic entanglement entropy between the microscopic duals. Later, we evaluate two-point correlation functions for heavy particles detected near <InlineEquation ID="IEq2"> <EquationSource Format="MATHML"><math display="inline"> <msup> <mi mathvariant="script">I</mi> <mo>+</mo> </msup> </math></EquationSource> <EquationSource Format="TEX">\( {\mathcal{I}}^{+} \)</EquationSource> </InlineEquation>. The Euclidean wormhole saddle point is responsible for finiteness of the correlators. The results are compatible with the boundary dual being non-unitary and having a large Hilbert space dimension. At last, we dimensionally reduce these geometries in terms of dilaton-gravity theory with conformally coupled matter.</p>

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Entanglement and factorization in axion-De Sitter universes

  • Sergio E. Aguilar-Gutierrez

摘要

We study extremal codimension-two areas and late-time bulk correlators between a pair of asymptotically de Sitter space universes connected through an Euclidean axion wormhole, in arbitrary dimensions. Assuming the validity of the de Sitter (dS)/conformal field theory (CFT) correspondence, we describe factorized Hilbert spaces for the putative boundary theories at I + \( {\mathcal{I}}^{+} \) in each of the universes based on the asymptotically dS isometries. This allow us to we interpret the extremal areas as complex-valued holographic entanglement entropy between the microscopic duals. Later, we evaluate two-point correlation functions for heavy particles detected near I + \( {\mathcal{I}}^{+} \) . The Euclidean wormhole saddle point is responsible for finiteness of the correlators. The results are compatible with the boundary dual being non-unitary and having a large Hilbert space dimension. At last, we dimensionally reduce these geometries in terms of dilaton-gravity theory with conformally coupled matter.