Background Independent Matrix Models

Details Background Independent Matrix Models Background Independent Matrix Models

1998-01-09

arxiv.org/abs/hep-th/9801051v1

Phys.Lett. B427 (1998) 267-273

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, LaTex

Scientific paper

10.1016/S0370-2693(98)00357-8

A class of background independent matrix models is made for which the structure of both local gauge symmetries and classical solutions is clarified. These matrix models do not involve a space-time metric and provide the matrix analogs of topological Chern-Simons and BF theories. It is explicitly shown that the BF type of matrix model can be formulated in any space-time dimension and include 3+1 dimensional gravity as a special case. Moreover, we discuss some generalization of the model to include a fermionic BRST-like symmetry whose partition function is related to the Casson invariant.

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