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On the Quantum Geometry of String Theory

arXiv:hep-lat/0110094 · doi:10.1016/S0920-5632(01)01899-0

Abstract

The IKKT or IIB matrix model has been proposed as a non-perturbative definition of type IIB superstring theories. It has the attractive feature that space--time appears dynamically. It is possible that lower dimensional universes dominate the theory, therefore providing a dynamical solution to the reduction of space--time dimensionality. We summarize recent works that show the central role of the phase of the fermion determinant in the possible realization of such a scenario.

3 pages, 2 figures, Lattice2001(surfaces)