Progress in the numerical studies of the type IIB matrix model

Abstract

The type IIB matrix model, also known as the IKKT model, has been proposed as a promising candidate for a non-perturbative formulation of superstring theory. Based on this proposal, various attempts have been made to explain how our four-dimensional space-time can emerge dynamically from superstring theory. In this article, we review the progress in numerical studies on the type IIB matrix model. We particularly focus on the most recent results for the Euclidean and Lorentzian versions, which are obtained using the complex Langevin method to overcome the sign problem. We also review the earlier results obtained using conventional Monte Carlo methods and clarify the relationship among different calculations.

23 pages, contribution to the EPJ ST Special Issue: Noncommutativity and Physics, see https://www.epj.org/open-calls-for-papers/85-epj-st/2280-epjst-special-issue-noncommutativity-and-physics

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Cited by in corpus (8)

• One-loop effective action of the IKKT model for cosmological backgrounds
• A Scaling Relation, $Z_m$-type Deconfinement Phases and Imaginary Chemical Potentials in Finite Temperature Large-$N$ Gauge Theories
• Regularization of matrices in the covariant derivative interpretation of matrix models
• Quantisation of type IIB superstring theory and the matrix model
• The dynamics of zero modes in lattice gauge theory -- difference between SU(2) and SU(3) in 4D
• Fuzzy Black Holes from Mass Generation in Matrix Compactification
• Collective field theory of gauged multi-matrix models: Integrating out off-diagonal strings
• Twisting BFSS & IKKT