AdS/dS CFT Correspondence

Abstract

We propose and study a holographic dual of the type IIB superstring theory of AdS_5 x S^5 in terms of the N=4 superconformal Yang-Mills theory on dS_4. We use the bulk to boundary formalism to evaluate the boundary correlation functions and verify that it agrees with the expected result in dS conformal field theory. The gauge theory is expected to be UV finite and enjoy exact SL(2,Z) strong-weak duality. As the string theory Green-Schwarz sigma model carries an infinite number of classically conserved charges, it also suggest that the superconformal Yang-Mills theory is integrable and deserves further studies.

26 pages. no figures. v2: references added

References in corpus (16)

• De Sitter Space and Eternity
• Breakdown of Semiclassical Methods in de Sitter Space
• On Resumming Inflationary Perturbations beyond One-loop
• Holographic models of de Sitter QFTs
• Holographic Schwinger effect in de Sitter space
• Entanglement entropy of $\alpha$-vacua in de Sitter space
• AdS Crunches, CFT Falls And Cosmological Complementarity
• de Sitter Supersymmetry Revisited
• Fluctuation and dissipation in de Sitter space
• A Holographic Dual of CFT with Flavor on de Sitter Space
• Real time response on dS_3: the Topological AdS Black Hole and the Bubble
• On Bubbles of Nothing in AdS/CFT
• Holographic thermalization in Gauss-Bonnet gravity with de Sitter boundary
• Holographic de Sitter Universe
• Holographic entanglement entropy for massive flavours in dS_4
• Quasinormal modes and holographic correlators in a crunching AdS geometry

Cited by in corpus (15)

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• Entanglement entropy in FRW backgrounds
• De Sitter-invariant States from Holography
• Quasinormal modes of charged fermions in linear dilaton black hole spacetime: Exact frequencies
• Entanglement entropy, horizons and holography
• Emergent Dark Matter in Late Time Universe on Holographic Screen
• Bianchi IX geometry and the Einstein-Maxwell theory
• Entanglement entropy in a four-dimensional cosmological background
• Membrane nucleation rates from holography
• Finite temperature charge and current densities around a cosmic string in AdS spacetime with compact dimension
• Unconventional conformal invariance of maximal depth partially massless fields on $d{S}_4$ and its relation to complex partially massless SUSY
• Correlation functions in expanding universes