Spontaneous Breakdown of Lorentz Invariance in IIB Matrix Model

Details Spontaneous Breakdown of Lorentz Invariance in IIB Matrix Model Spontaneous Breakdown of Lorentz Invariance in IIB Matrix Model

2000-03-24

arxiv.org/abs/hep-th/0003223v2

JHEP 0004 (2000) 015

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, latex, no figures, references added, version to appear in JHEP

Scientific paper

10.1088/1126-6708/2000/04/015

We study the IIB matrix model, which is conjectured to be a nonperturbative definition of superstring theory, by introducing an integer deformation parameter `nu' which couples to the imaginary part of the effective action induced by fermions. The deformed IIB matrix model continues to be well-defined for arbitrary `nu', and it preserves gauge invariance, Lorentz invariance, and the cluster property. We study the model at `nu' = infinity using a saddle-point analysis, and show that ten-dimensional Lorentz invariance is spontaneously broken at least down to an eight-dimensional one. We argue that it is likely that the remaining eight-dimensional Lorentz invariance is further broken, which can be checked by integrating over the saddle-point configurations using standard Monte Carlo simulation.

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