Fuzzy $C{P}^2$ Space-Times

Abstract

Four-dimensional manifolds with changing signature are obtained by taking the large $N$ limit of fuzzy $C{P}^2$ solutions to a Lorentzian matrix model. The regions of Lorentzian signature give toy models of closed universes which exhibit cosmological singularities. These singularities are resolved at finite $N$, as the underlying $C{P}^2$ solutions are expressed in terms of finite matrix elements.

14 pages, 3 figures

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Cited by in corpus (5)

• Complex Langevin analysis of the space-time structure in the Lorentzian type IIB matrix model
• Signature change in matrix model solutions
• Complex Langevin analysis of the spontaneous breaking of 10D rotational symmetry in the Euclidean IKKT matrix model
• On the structure of the emergent 3d expanding space in the Lorentzian type IIB matrix model
• Black-hole models in loop quantum gravity