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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 calculatethis master field as a solution of the bosonic master-field equation. Weconsider a simplified version of the algebraic bosonic master-field equationand take dimensionality $D=2$ and matrix size $N=6$. For an explicitrealization of the pseudorandom constants entering this simplified algebraicequation, we establish the existence of a solution and find, afterdiagonalization of one of the two obtained matrices, a band-diagonal structureof the other matrix.

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