Matrix Model Cosmology in Two Space-time Dimensions

Abstract

We examine solutions to the classical IKKT matrix model equations in three space-time dimensions. Closed, open and static two-dimensional universes naturally emerge from such models in the commutative limit. We show that tachyonic modes are a generic feature of these cosmological solutions.

16 pages

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Cited by in corpus (13)

• On the propagation across the big bounce in an open quantum FLRW cosmology
• Matrix Model Approach to Cosmology
• Signature change in matrix model solutions
• Lorentzian Fuzzy Spheres
• Non-commutative $Ad{S}_2/CF{T}_1$ duality: the case of massless scalar fields
• Non-commutative $Ad{S}_2/CF{T}_1$ duality: the case of massive and interacting scalar fields
• Fuzzy $C{P}^2$ Space-Times
• Cosmic acceleration in Regge-Teitelboim gravity
• A new method for probing the late-time dynamics in the Lorentzian type IIB matrix model
• Dark Energy from the Fifth Dimension
• Exact solutions for scalars and spinors on quantized (Euclidean) $Ad{S}_2$ and the correspondence principle
• Fuzzy de Sitter Space from kappa-Minkowski Space in Matrix Basis
• Asymptotic commutativity of quantized spaces: the case of ${\mathbb{CP}}^{p,q}$