A first look at the bosonic master-field equation of the IIB matrix model

Abstract

The bosonic large-$N$ master field of the IIB matrix model can, in principle, give rise to an emergent classical spacetime. The task is then to calculate this master field as a solution of the bosonic master-field equation. We consider a simplified version of the algebraic bosonic master-field equation and take dimensionality $D=2$ and matrix size $N=6$. For an explicit realization of the pseudorandom constants entering this simplified algebraic equation, we establish the existence of a solution and find, after diagonalization of one of the two obtained matrices, a band-diagonal structure of the other matrix.

20 pages, v6: published version

References in corpus (3)

• Complex Langevin analysis of the space-time structure in the Lorentzian type IIB matrix model
• M-theory and the birth of the Universe
• IIB matrix model and regularized big bang

Cited by in corpus (2)

• M-theory and the birth of the Universe
• Introduction to Monte Carlo for Matrix Models