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Prog. Theor. Phys. Vol. 114 No. 3 (2005) pp. 669-693

Dynamical Theory of Generalized Matrices

Yoshiharu Kawamura^*

Department of Physics, Shinshu University, Matsumoto 390-8621, Japan

(Received April 5, 2005)

Abstract:

We propose a generalization of spin algebra using multi-index objects and a dynamical system analogous to matrix theory. The system has a solution described by generalized spin representation matrices and possesses a symmetry similar to the volume preserving diffeomorphism in the p-brane action.

URL : http://ptp.ipap.jp/link?PTP/114/669/
DOI : 10.1143/PTP.114.669

^*E-mail: haru@azusa.shinshu-u.ac.jp

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