IIB matrix model, bosonic master field, and emergent spacetime
Abstract
The IIB matrix model has been suggested as a particular formulation of nonperturbative superstring theory (M-theory). It has now been realized that an emerging classical spacetime may reside in its large- master field. This bosonic master field can, in principle, give rise to Minkowski and Robertson-Walker spacetimes. The outstanding task is to solve the bosonic master-field equation, which is essentially an algebraic equation. In this article, we present new results for the bosonic master-field equation of the IIB matrix model, where is the number of bosonic matrices and the matrix size. We also give, in a self-contained appendix, explicit results for critical points of the effective bosonic action. The main physics application of the (dimensionless) IIB matrix model may be in providing a (conformal) phase that replaces the Friedmann big bang singularity.
Cite
@article{arxiv.2203.15779,
title = {IIB matrix model, bosonic master field, and emergent spacetime},
author = {F. R. Klinkhamer},
journal= {arXiv preprint arXiv:2203.15779},
year = {2022}
}
Comments
34 pages, write-up of an invited talk at the "Workshop on Quantum Geometry, Field Theory, and Gravity" of the Corfu Summer Institute, September 20--27, 2021, v5: published version