Supersymmteric Null-like Holographic Cosmologies

Abstract

We construct a new class of 1/4-BPS time dependent domain-wall solutions with null-like metric and dilaton in type II supergravities, which admit a null-like big bang singularity. Based on the domain-wall/QFT correspondence, these solutions are dual to 1/4-supersymmetric quantum field theories living on a boundary cosmological background with time dependent coupling constant and UV cutoff. In particular we evaluate the holographic $c$ function for the 2-dimensional dual field theory living on the corresponding null-like cosmology. We find that this $c$ function runs in accordance with the $c$-theorem as the boundary universe evolves, this means that the number of degrees of freedom is divergent at big bang and suggests the possible resolution of big bang singularity.

26 pages;v2 references added

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Cited by in corpus (26)

• Lifshitz spacetimes from AdS null and cosmological solutions
• On the Quantum Resolution of Cosmological Singularities using AdS/CFT
• Cosmologies with Null Singularities and their Gauge Theory Duals
• Gauge Theories with Time Dependent Couplings and their Cosmological Duals
• Big Bang Models in String Theory
• Gauge Theory Duals of Cosmological Backgrounds and their Energy Momentum Tensors
• Non-relativistic Holography and Singular Black Hole
• Time-dependent AdS/CFT Duality II: Holographic Reconstruction of Bulk Metric and Possible Resolution of Singularity
• Janus and Multifaced Supersymmetric Theories
• Supersymmetric Intersecting Branes in Time-dependent Backgrounds
• Toward the End of Time
• Supersymmetric Intersecting Branes in Time-dependent Backgrounds
• Slowly Varying Dilaton Cosmologies and their Field Theory Duals
• Supersymmetric Intersecting Branes on the Waves
• String spectra near some null cosmological singularities
• Lifshitz-like systems and AdS null deformations
• Cosmologies, singularities and quantum extremal surfaces
• Null cosmological singularities and free strings: II
• One-Loop Effect of Null-Like Cosmology's Holographic Dual Super-Yang-Mills
• Null Deformed Domain Wall
• The string wave function across a Kasner singularity
• Null cosmological singularities and free strings
• Matrix Big Brunch
• Discrete States in Light-Like Linear Dilaton Background
• Non-Supersymmetric String Theory
• Interactions for Winding Strings in Misner Space