Matrix model cosmology in two space-time dimensions

2014/09/30 by A. Stern · 2 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #Commutative property #Computer science #Cosmological model #Cosmology #Cosmology and Gravitation Theories #Feature (linguistics) #Limit (mathematics) #Mathematical analysis #Mathematical physics #Mathematics #Matrix (chemical analysis) #Matrix model #Noncommutative and Quantum Gravity Theories #Physics #Pure mathematics #Quantum mechanics #Space (punctuation) #Space time #Theoretical physics #gr-qc #hep-th

paper · pdf · doi:10.1103/physrevd.90.124056

published as Phys. Rev. D 90, 124056 (2014) · 16 pages

arxiv created 2014/10/10 · openalex publication_date 2014/12/18 · arxiv updated 2014/12/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We examine solutions to the classical Ishibashi-Kawai-Kitazawa-Tsuchiya 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.

Citations

• Seiberg-Witten maps to all orders
• String theory and noncommutative geometry
• Noncommutative static strings from matrix models
• A large-N reduced model as superstring
• Fuzzy spheres in AdS/CFT correspondence and holography from noncommutativity
• Nonabelian noncommutative gauge theory via noncommutative extra dimensions
• A matrix big bang
• Space-time noncommutativity, discreteness of time and unitarity
• Mtheory as a matrix model: A conjecture
• Matrix Cosmology

Cited by

• Signature change in matrix model solutions
• Noncommutative AdS2/CFT1 duality: The case of massive and interacting scalar fields