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Space-Time Structures from IIB Matrix Model

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arxiv hep-th/9802085 v1 pith:7QO6BFRC submitted 1998-02-12 hep-th

H. Aoki , S. Iso , H. Kawai , Y. Kitazawa , T. Tada This is my paper · ORCID
classification hep-th
keywords matrixmodelspace-timedimensionalityeffectivestructurestheoryaction
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abstract

We derive a long distance effective action for space-time coordinates from a IIB matrix model. It provides us an effective tool to study the structures of space-time. We prove the finiteness of the theory for finite $N$ to all orders of the perturbation theory. Space-time is shown to be inseparable and its dimensionality is dynamically determined. The IIB matrix model contains a mechanism to ensure the vanishing cosmological constant which does not rely on the manifest supersymmetry. We discuss possible mechanisms to obtain realistic dimensionality and gauge groups from the IIB matrix model.

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Cited by 2 Pith papers

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  1. Monte Carlo studies of the emergent spacetime in the polarized IKKT model

    hep-th 2025-07 conditional novelty 5.0 of 10

    For N=2, the polarized IKKT model is dominated by diverging commuting matrices at small Omega and by the fuzzy sphere at large Omega, with a smooth saddle connection between the two regimes.

  2. Quantum spacetime and quantum fluctuations in the IKKT model at weak coupling

    hep-th 2026-05 unverdicted novelty 4.0 of 10

    In the IKKT matrix model, quantum fluctuations are negligible compared to noncommutativity scales at weak coupling for Moyal-Weyl and covariant quantum spacetime backgrounds, justifying semi-classical emergent geometry.

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