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Matrix model with manifest general coordinate invariance | | Takehiro Azuma
; Hikaru Kawai
; | | Date: |
9 Apr 2002 | | Journal: | Phys.Lett. B538 (2002) 393-405 | | Subject: | hep-th | | Abstract: | 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. | | Source: | arXiv, hep-th/0204078 | | Services: | Forum | Review | PDF | Favorites | |
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