2001/02/24 by Takehiro Azuma, Satoshi Iso, H. Kawai +3 · 1 citation
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Noncommutative and Quantum Gravity Theories #hep-th
paper · pdf · doi:10.1016/s0550-3213(01)00324-8
published as Nucl.Phys. B610 (2001) 251-279 · 34 pages, 3 figures
arxiv created 2001/02/24 · openalex publication_date 2001/09/01 · arxiv updated 2009/11/30 · openalex created_date 2020/07/02 · openalex updated_date 2026/07/29
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.