Matrix model with manifest general coordinate invariance

Details Matrix model with manifest general coordinate invariance Matrix model with manifest general coordinate invariance

2002-04-09

arxiv.org/abs/hep-th/0204078v6

Phys.Lett. B538 (2002) 393-405

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, 2 figures (V5) some explanation added. (V6) some typos corrected. To appear in Phys. Lett. B

Scientific paper

We present a formulation of a matrix model which manifestly possesses the general coordinate invariance when we identify the large $N$ matrices with differential operators. In order to build a matrix model which has the local Lorentz invariance, we investigate how the $so(9,1)$ Lorentz symmetry and the $u(N)$ gauge symmetry are mixed together. We first analyze the bosonic part of the model, and we find that the Einstein gravity is reproduced in the classical low-energy limit. And we present a proposal to build a matrix model which has ${\cal N}=2$ SUSY and reduces to the type IIB supergravity in the classical low-energy limit.

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