Topological Matrix Model

Details Topological Matrix Model Topological Matrix Model

1997-08-07

arxiv.org/abs/hep-th/9708039v2

Prog.Theor.Phys. 98 (1997) 1371-1384

Physics

High Energy Physics

High Energy Physics - Theory

18 pages, LaTeX, no figures, minor corrections and modifications, references added

Scientific paper

10.1143/PTP.98.1371

Starting from the primal principle based on the noncommutative nature of (9+1)-dimensional spacetime, we construct a topologically twisted version of the supersymmetric reduced model with a certain modification. Our formulation automatically provides extra 1+1 dimensions, thereby the dimensions of spacetime are promoted to 10+2. With a suitable gauge choice, we can reduce the model with (10+2)-dimensional spacetime to the one with (9+1)-dimensions and thus we regard this gauge as the light-cone gauge. It is suggested that the model so obtained would describe the light-cone F-theory. From this viewpoint we argue the relation of the reduced model to the matrix model of M-theory and the SL(2,Z) symmetry of type IIB string theory. We also discuss the general covariance of the matrix model in a broken phase, and make some comments on the background independence.

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