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arXiv · 2105.05831

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

F. R. Klinkhamer
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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.

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F. R. Klinkhamer. 2021-05-12. A first look at the bosonic master-field equation of the IIB matrix model. https://doi.org/10.1142/s0218271821501054

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