Background Independent Matrix Models

Abstract

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.

11 pages, LaTex

References in corpus (1)

• A Large-N Reduced Model as Superstring

Cited by in corpus (2)

• BTZ Black Hole Entropy from a Chern-Simons Matrix Model
• Topological Symmetry, Background Independence, and Matrix Models