Brane world from IIB matrices

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Abstract
We have proposed recently a dynamical mechanism that may realize a flat four-dimensional space time as a brane in type IIB superstring theory. A crucial role is played by the phase of the chiral fermion integral associated with the IKKT Matrix Theory, which is conjectured to be a nonperturbative definition of type IIB superstring theory. We demonstrate our mechanism by studying a toy model in six dimensions. Using a saddle-point approximation to the phase of the fermion integral, we find that the extent of the space-time in two directions is shrunk dynamically. We also comment on some implications of our mechanism on model building of the brane world.

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