Supermatrix Models

Details Supermatrix Models Supermatrix Models

2001-02-24

arxiv.org/abs/hep-th/0102168v1

Nucl.Phys. B610 (2001) 251-279

Physics

High Energy Physics

High Energy Physics - Theory

34 pages, 3 figures

Scientific paper

10.1016/S0550-3213(01)00324-8

We investigate several matrix models based on super Lie algebras, osp(1|32,R), u(1|16,16) and gl(1|32,R). They are natural generalizations of IIB matrix model and were first proposed by Smolin. In particular, we study the supersymmetry structures of these models and discuss possible reductions to IIB matrix model. We also point out that diffeomorphism invariance is hidden in gauge theories on noncommutative space which are derived from matrix models. This symmetry is independent of the global SO(9,1) invariance in IIB matrix model and we report our trial to extend the global Lorentz invariance to local symmetry by introducing u(1|16,16) or gl(1|32,R) super Lie algebras.

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